Mathematics – WBPSC Food SI Previous Year Question Paper

Mathematics – WBPSC Food SI Previous Year Question Paper

Mathematics - WBPSC Food SI Previous Year Question Paper

Food SI Question Paper – 2022 (S-1)

  1. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are open together. But after 4 minutes pipe A is turned off. What is the total time required to fill the tank?

(A) 10 min. 40 sec.

(B) 11 min. 45 sec.

(C) 12 min. 30 sec.

(D) 14 min. 40 sec.

 

  1. Raju and Param start a journey. Raju moves northwards at a speed of 20 km/hr and Param moves southwards at a speed of 30 km/hr. How far will be Param from Raju after 60 minutes?

(A) 24 km

(B) 50 km

(C) 42 km

(D) 30 km

 

  1. The average of 50 numbers is 28. If two numbers, namely 25 and 35 are discarded, then the average of the remaining numbers is nearly

(A) 27.29

(B) 27.92

(C) 29.27

(D) 29.72

 

  1. If Rs.1,000 becomes Rs.1,400 in 4 years, then find the rate of interest.

(A) 10%

(B) 5%

(C) 15%

(D) 25%

 

  1. Two numbers are in the ratio 3 : 5. If each number is increased by 10, the ratio becomes 5 : 7. The numbers are

(A) 3, 5

(B) 7, 9

(C) 13, 22

(D) 15, 25

 

  1. A, B and C invested Rs.26,000, Rs.34,000 and Rs.10,000 respectively in a business. At the end of the year, they earn a profit of Rs.3,500. B’s share of profit is

(A) Rs.1,200

(B) Rs.1,500

(C) Rs.1,700

(D) Rs.1,900

 

  1. Find the L.C.M. of ⁵/₂, ⁸/₉, ¹¹/₁₄.

(A) 280

(B) 360

(C) 440

(D) 420

 

  1. By selling 100 pencils, a shopkeeper gains the selling price of 20 pencils. His gain per cent is

(A) 25%

(B) 20%

(C) 15%

(D) 12%

 

  1. A boat covers a distance of 30 km in 2½ hours running downstream. While returning, it covers the same distance in 3¾ hours. What is the speed of the boat in still water?

(A) 8 km/hr

(B) 12 km/hr

(C) 15 km/hr

(D) None of the above

 

  1. Incomes of A, B and C are in the ratio 7 : 9 : 12 and their expenditures are in the ratio 8 : 9 : 15. If A’s savings is ¼ of his incomes, then the ratio of savings of A, B and C is

(A) 56 : 99 : 69

(B) 99 : 56 : 69

(C) 69 : 56 : 99

(D) 99 : 59 : 56

 




 

  1. There are three full containers of mixture of milk and water and their volumes are in the ratio 7 : 5 : 13. The milk and water ratio in these containers is 2 : 3, 47 : 53 and 9 : 11 respectively. If these are mixed together, find the ratio of milk and water in the new mixture.

(A) 11 : 14

(B) 14 : 17

(C) 9 : 16

(D) 12 : 13

 

  1. If a/b=7/9, b/c=3/5, then the velocity of a : b : c is

(A) 7 : 9 : 15

(B) 7 : 9 : 5

(C) 21 : 35 : 45

(D) 7 : 3 : 15

 

  1. If a : b = 3 : 5 and b : c = 7 : 8, then 2a : 3b : 7c is equal to

(A) 42 : 105 : 280

(B) 15 : 21 : 40

(C) 6 : 15 : 40

(D) 30 : 21 : 350

 

  1. Sushil was thrice as old as Snehal 6 years back. Sushil will be 5/3 times as old as Snehal 6 years hence. How old is Snehal now?

(A) 12 years

(B) 15 years

(C) 18 years

(D) 24 years

 

  1. The compound interest on Rs.20,480 at 6¼ % per annum for 2 years and 73 days is

(A) Rs.3,000

(B) Rs.3,131

(C) Rs.2,929

(D) Rs.3,636

 

  1. If 7 : x = 17.5 : 22.5, then the value of x is

(A) 6

(B) 8

(C) 12

(D) 9

 

  1. If

Then what is the value of?

(A) 18/17

(B) 21/17

(C) 13/17

(D) 12/17

 

  1. A man walks 1 km on 1st day, 2 km on 2nd day, 3 km on 3rd and so on. The total distance the man covers in 10 days is

(A) 40 km

(B) 50 km

(C) 55 km

(D) 58 km

 

 

  1. Find the value of:

(A) 9

(B) 3ⁿ

(C) 3ⁿ⁻¹

(D) 27

 




 

  1. A and B can do a piece of work in 12 days; B and C can do it in 15 days; C and A can do it in 20 days. A alone can do the work in

(A) 15⅔ days

(B) 24 days

(C) 30 days

(D) 40 days

 

  1. P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then P’s speed is equal to

(A) 3 km/hr

(B) 4 km/hr

(C) 5 km/hr

(D) 6 km/hr

 

  1. The average of 15 numbers is 7. Out of them the average of first 8 numbers is 6.5 and the average of last 8 numbers is 9.5. The middle number is

(A) 21

(B) 22

(C) 23

(D) 24

 

  1. Which one among the following is the largest?

(A) 6/7

(B) 5/6

(C) 7/8

(D) 4/5

 

  1. The difference between compound and simple interest on Rs.8,000 at 5% p.a. for 3 years is

(A) Rs.50

(B) Rs.60

(C) Rs.61

(D) Rs.600

 

  1. Find the value of :

 

(A) 1/10

(B) 9/10

(C) 1

(D) 10

 

  1. A bus travels first half distance between two places with a speed of 40 km/hr and the rest half distance with a speed of 60 km/hr. The average speed of the bus is

(A) 42 km/hr

(B) 50 km/hr

(C) 46 km/hr

(D) 48 km/hr

 

  1. Ram and Shyam together can finish a job in 8 days. Ram can do the same job on his own in 12 days. How long will Shyam take to do the job by himself?

(A) 16 days

(B) 20 days

(C) 24 days

(D) 30 days

 

  1. A pipe can fill a tank in x hours and another pipe can empty it in y (y>x) hours. If both the pipes are open, in how many hours will the tank be filled?

(A) (x-y) hours

(B) (y-x) hours

(C) xy/(x-y) hours

(D) xy/(y-x) hours

 

  1. The ages of Samir and Tanuja are in the ratio 8 : 15. After 9 years the ratio of their ages will be 11 : 18. What is the difference between their ages?

(A) 20 years

(B) 21 years

(C) 24 years

(D) 33 years

 





 

  1. The speed of a car increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km, what was the total distance travelled in 12 hours?

(A) 456 km

(B) 482 km

(C) 552 km

(D) 556 km

 

  1. What is the interest of Rs.300 at the rate of 11% for 5 years?

(A) Rs.150

(B) Rs.165

(C) Rs.120

(D) Rs.200

 

  1. Ali travels a distance of 300 m in 2 minutes and 30 seconds. What is his speed in km/hr?

(A) 6.9

(B) 7.1

(C) 7.2

(D) 7.3

 

  1. The distance from the town A to the town B is 5 miles, C is 6 miles from B. Which of the following could be the maximum distance from A to C?

(A) 11 miles

(B) 8 miles

(C) 2 miles

(D) 4 miles

 

  1. Which of the following numbers is divisible by 3?

(A) 24357806

(B) 35769812

(C) 3336433

(D) 83479560

 

  1. The sum of the squares of two positive integers is 100 and the difference of their squares is 28. The sum of the numbers is

(A) 12

(B) 13

(C) 14

(D) 15

 

  1. The average of m numbers is n⁴ and the average of n numbers is m⁴. The average of (m+n) numbers is

(A) mn

(B) m²+n²

(C) mn(m²+n²)

(D) mn(m²+n²-mn)

 

  1. If Manish walks 20 km/hr faster, then he will save one hour to travel a distance 600km. What is the usual speed of Manish?

(A) 100 km/hr

(B) 120 km/hr

(C) 150 km/hr

(D) 160 km/hr

 

  1. If the side of a square is increased by 30%, then its area is increased by

(A) 9%

(B) 30%

(C) 60%

(D) 69%

 

  1. The sum of two numbers is 2490. If 6.5% of one number is equal to 805% of the other, then the greater number is

(A) 1079

(B) 1380

(C) 1411

(D) 1250

 

  1. The ratio of two numbers is 3 : 4 and their sum is 420. The greater of two numbers is

(A) 175

(B) 200

(C) 240

(D) 315

 




 

  1. Anita can cover a distance in 1 hr. 24min. By covering ⅔ of the distance at 4 km/hr. And the rest at 5 km/hr. Find the total distance.

(A) 4 km

(B) 5 km

(C) 6 km

(D) 7 km

 

  1. The respective ratio among the speed of a bike, a van and a lorry is 3 : 5 : 2. The speed of the van is 250% of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together?

(A) 60 km/hr

(B) 62 km/hr

(C) 64 km/hr

(D) 63 km/hr

 

  1. On selling an article at a certain price, a man gains 10%. On selling the same article at double the price, gain per cent is

(A) 20%

(B) 100%

(C) 120%

(D) 140%

 

  1. The average of 6 observations is 45.5. If one new observation is added to the previous observations, then the new average becomes 47. The new observation is

(A) 58

(B) 56

(C) 50

(D) 46

 

  1. Which one among the following is the largest?

(A) ⁷/₉

(B) ¹¹/₁₄

(C) ¾

(D) ¹⁰/₁₃

 

  1. Two vessels are filled with mixtures of milk and water in the ratio 3 : 2 and 6 : 5 respectively. In what ratio should these mixtures be mixed so that the ratio of milk and water in the final mixture becomes 4 : 3?

(A) 6 : 13

(B) 9 : 14

(C) 10 : 11

(D) 5 : 8

 

  1. Akash leaves Mumbai at 6 am and reaches Bangalore at 10 am. Prakash leaves Bangalore at 8 am and reaches Mumbai at 11.30 am. At what time do they cross each other?

(A) 10 am

(B) 8.32 am

(C) 8.56 am

(D) 9.20 am

 

  1. A 130 m long train crosses a bridge in 30 seconds at 45 km/hr. The length of the bridge is

(A) 200 m

(B) 225 m

(C) 245 m

(D) 250 m

 

  1. 5% income of A is equal to 15% income of B and 10% income of B is equal to the 20% income of C. If the income of C is Rs.2,000, what is the total income of A, B and C?

(A) Rs.14,000

(B) Rs.16,000

(C) Rs.18,000

(D) Rs.1,24,000

 

  1. The ratio of cost price and selling price of an article is 20 : 21. What is the profit per cent on it?

(A) 5%

(B) 5.5%

(C) 6%

(D) 6.25%

 

Video Explanation




 

Food SI Question Paper – 2022 (S-2)

1. The selling price of an article is Rs.1920 and the discount given is 4%. The marked price of the article is

(A) Rs.2400

(B) Rs.2000

(C) Rs.1600

(D) Rs.1200

 

5. The difference between the simple and compound interest on a certain sum of money for 2 years at 4% per annum is Re.1. Find the sum.

(A) Rs.630

(B) Rs.620

(C) Rs.625

(D) Rs.635

 

6. If 

50
*
121

 

then find the value of *.

(A) 25/2

(B) 4/25

(C) 4

(D) 25

 

7. The ratio of the quantities of an acid and water in a mixture is 1 : 3. If 5 litres of acid is added to the mixture, the new ratio becomes 1 : 2, the quantity of new mixture in litres is

(A) 32

(B) 40

(C) 42

(D) 45

 

9. 75% of a number when added to 75 is equal to the number . The number is

(A) 150

(B) 200

(C) 225

(D) 300

 

10. The sum of four consecutive even numbers is 748. The smallest among them is

(A) 188

(B) 186

(C) 184

(D) 174

 

11. A, B and C together can complete a piece of work in 30 minutes. A and B together can complete the same work in 50 minutes. C alone can complete the work in

(A) 60 minutes

(B) 80 minutes

(C) 150 minutes

(D) 75 minutes

 

13. Pipe A and B can fill a tank in 10 hours and 15 hours respectively. In how much time will they together fill the tank?

(A) 12½  hrs.

(B) 6 hrs.

(C) 5 hrs.

(D) 4 hrs.

 

16. 60% students of a school are girls. If the total number of girls in the school is 690, then the total number of students in the school is

(A) 1150

(B) 1100

(C) 1200

(D) 1050

 

23. If 78 is divided into three parts which are in the ratio 1: ⅓ : ⅙, then middle part is 

(A) 9⅓

(B) 13

(C) 17⅓

(D) 18⅓

 

26. A train 280 m long is moving at a speed of 60 km/hr. What is the time taken by the train to cross a platform 220 m long?

(A) 45 sec

(B) 30 sec

(C) 40 sec

(D) 35 sec

 




 

28. A sum of money at simple interest amounts to Rs.1350 in 5 years and to Rs.1620 in 8 years. The sum of money is

(A) Rs.700

(B) Rs.800

(C) Rs.1000

(D) Rs.900

 

33. The 25th term of the series 2, 5, 10, 17, 26, is … is

(A) 626

(B) 323

(C) 424

(D) 525

 

35. A man bought 20 dozen eggs for Rs.720. What should be the selling price of each egg if he wants to make a profit of 20%?

(A) Rs.3.25

(B) Rs.3.30

(C) Rs.3.60

(D) Rs.3.50

 

36. In how many years will a sum of Rs.3000 yield a simple interest of Rs.1080 at 12% per annum?

(A) 3

(B) 2½ 

(C) 2

(D) 3½ 

 

37. An amount will double itself in 16 years at a certain rate of interest per annum. The rate of interest per annum is

(A) 10%

(B) 6¼%

(C) 8%

(D) 12½% 

 

39. Two numbers are in the ratio 3 : 5 and their LCM is 255. The smaller number is 

(A) 45

(B) 60

(C) 75

(D) 90

 

41. 20% loss on selling price is what per cent loss on the cost price?

(A) 25%

(B) 15%

(C) 16⅔%

(D) 16⅓%

 

43. If the cost of 18 chairs is equal to selling price of 16 chairs, then the gain percentage is

(A) 12.5%

(B) 13%

(C) 13.5%

(D) 14%

 

44. In an examination, 93% of students passed and 259 failed. The total number of students appearing at the examination was

(A) 3700

(B) 3850

(C) 800

(D) 1000

 

46. If 738A6A is divisible by 11, then the value of A is

(A) 6

(B) 9

(C) 3

(D) 1

 





 

47. If the ratio of the cost price and the sale price of an article be 5 : 6, the percentage of gain is 

(A) 25%

(B) 20%

(C) 18%

(D) 15%

 

49. If ⅓ of A = 75% of B = 0.6 of C, then A : B : C is

(A) 9 : 5 : 4

(B) 9 : 4 : 5

(C) 4 : 5 : 9

(D) 5 : 9 : 4

 

51. Two successive discounts of 10%, 20% are given on the cost price of an article. Selling price now is Rs.720. Cost price of the article is 

(A) Rs.1000

(B) Rs.1200

(C) Rs.900

(D) Rs.1100

 

52. The ratio between two numbers is 2 : 3. If each number is increased by 4, the ratio between them becomes 5 : 7. The difference between the numbers is

(A) 8

(B) 6

(C) 2

(D) 4

 

53. If the numerator of a fraction is increased by 20% and the denominator is decreased by 10%, the value of the fraction is ¹⁶/₂₁. The original fraction is

(A) ⁵/₇

(B) ⁴/₇

(C) ²/₅

(D) ³/₅

 

57. The volumes of two cylinders are in the ratio 3 : 8 and their heights are in the ratio 2 : 3. Then the ratio of their radius is 

(A) 3 : 8

(B) 4 : 3

(C) 2 : 3

(D) 3 : 4

 

58. ⁵/₈ of 64 + 30% of ? = 121

(A) 270

(B) 250

(C) 125

(D) 225

 

60. If the radius of a circle is increased by 10%, then percentage of increase of its area is 

(A) 17

(B) 21

(C) 12

(D) 15

 

62. The value of x when 5% of √(2x) is 0.01 will be

(A) 0.03

(B) 0.02

(C) 0.01

(D) 0.05

 

63. Divide Rs.450 among A, B and C such that A : B = 2 : 3 and B : C= 6 : 5. Share of C is

(A) Rs.90

(B) Rs.100

(C) Rs.150

(D) Rs.120

 

64. If ab, bc, x and c² are in proportion, then find the x, if none of these is equal to zero.

(A) a²c

(B) c²a

(C) ac

(D) a²c²

 




 

65. The difference of 5.7̄6̄ and 2.3̄ is

 

(A) 

(B) 

(C) 

(D) 

 

67. Find the last term in the following numbers:

230, 246, 271, 307, ?

(A) 412

(B) 356

(C) 518

(D) 612

 

70. A man buys some articles at Rs.P per dozen and sells them at Rs.P/8 per piece. His profit per cent is

(A) 30%

(B) 40%

(C) 50%

(D) 60%

 

72. The square root of 

1
1
25
4
X
49
121

is

(A) 11/5

(B) 11/70

(C) 7/11

(D) 11/7

 

74. A man sells two chairs at Rs.120 each and by doing so gains 25% on one chair and losses 25% on the other. His loss on the whole in Rs. is

(A) 20

(B) 16

(C) 25

(D) 30

 

75. The single discount, which is equivalent to three successive discounts of 25%, 20% and 10% is

(A) 46%

(B) 54%

(C) 55%

(D) 45%

 

76. If the cost price of 10 articles is equal to the selling price of 16 articles, then the loss per cent is

(A) 37.5%

(B) 30%

(C) 42.5%

(D) 45%

 

79. A and B together can do a piece of work in 12 days while B alone can finish it in 30 days. A alone can finish the work in

(A) 15 days

(B) 18 days

(C) 20 days

(D) 25 days

 

80. What is the smallest number that must be added to 1780 to make it perfect square?

(A) 39

(B) 69

(C) 59

(D) 49

 

84. If a*b=aᵇ, then the value of 5*3 is

(A) 125

(B) 243

(C) 53

(D) 15

 




 

86. By selling an article for Rs.1400 a man lost 30%. At what amount should he have sold it to gain 30%?

(A) Rs.2600

(B) Rs.1500

(C) Rs.1800

(D) Rs.2000

 

88. What is the value of 

(2.3)3 - 0.027
(2.3)2 +0.69 + 0.09

 

(A) 0.3

(B) 2.3

(C) 1

(D) 2

 

90. (1/10)th of (2/4)th of a number is 240. What is the number?

(A) 12

(B) 1200

(C) 48

(D) 4800

 

93. A mixture of 40 litres of milk and water contains 10% of water. How much water must be added to make the water 20% in the new mixture?

(A) 10 litres

(B) 7 litres

(C) 5 litres

(D) 3 litres

 

94. The speed of a bus is 72 km/hr. The distance covered by the bus in 5 seconds is

(A) 50 m

(B) 745 m

(C) 60 m

(D) 100 m

 

96. The largest number among 2.6, 2.066, 2.66, 2.08 is

(A) 2.6

(B) 2.66

(C) 2.066

(D) 2.08

 

99. If 90% of A = 30% of B and B = x% of A, then the value of x is

(A) 300

(B) 800

(C) 700

(D) 400

 

100. A boat can run 13 km/hr in still water and speed of current is 4 km/hr. In how many hours the boat will cover 68 km/hr downstream?

(A) 2

(B) 3

(C) 5

(D) 4

 

Video Explanation




 

Food SI Question Paper – 2022 (S-3)

  1. A and B start from the same place and travel in the same direction, B starting 2 hours after A. If A travels 40 km/h and B travels at 50 km/h, how far will they have travelled when B overtakes A?

(A) 400 km

(B) 200 km

(C) 500 km

(D) 100 km

 

  1. If ⅖ of my pocket money is ₹60, then the total pocket money I received was

(A) ₹100

(B) ₹120

(C) ₹150

(D) ₹180

 

  1. An 12 metre flag pole casts a shadow 15 metre long. If a flag pole is 20 metre long then the length of the shadow be

(A) 25 metre

(B) 60 metre

(C) 30 metre

(D) 22 metre

 

  1. At a certain school, there are 320 boys and 180 girls. The average absenteeism rate is 6¼% for boys and 8⅓% for girls. What is the average absenteeism rate overall for the school?

(A) 8%

(B) 7⅕%

(C) 7%

(D) 6⅓%

 

  1. The compound interest for ₹4,800 for 2 years at 5% per annum compounded annually is

(A) ₹492

(B) ₹5,292

(C) ₹229

(D) ₹5,390

 

  1. The doctor ordered Riya to take tables every 9 hours. If she took the first tablet at 11 AM at what time Riya take her 8th tablet?

(A) 5 AM

(B) 8 AM

(C) 11 AM

(D) 2 AM

 

  1. For 18 days of work a man is paid ₹1,530. For 30 days how much will he be paid?

(A) ₹2,380

(B) ₹2,500

(C) ₹2,580

(D) ₹2,550

 

  1. Taps A and B fill a tank in 4 hours and 6 hours respectively. Tap C of the tank empties in 12 hours. If all 3 are open, how long will it take to fill the tank?

(A) 5 hours

(B) 5.5 hours

(C) 3 hours

(D) 3.5 hours

 

  1. In a sale, on a washing machine marked at ₹7,500 a 20% discount was given. The owner still makes a 20% profit. What was the machine originally cost him?

(A) ₹5,000

(B) ₹6,800

(C) ₹5,500

(D) ₹6,000

 

  1. By selling a computer for ₹36,000, a dealer makes a 20% profit on the cost price. At what price should the computer be sold to make a 25% profit?

(A) ₹37,500

(B) ₹38,000

(C) ₹38,500

(D) ₹39,000

 





 

  1. The greatest 4-digit number which is a perfect square is

(A) 9999

(B) 1000

(C) 9801

(D) 9900

 

  1. Sum of the all factors of 24 is

(A) 12

(B) 36

(C) 48

(D) 60

 

  1. A car is travelling at a speed of 70 km/h. What would be the distance travelled by the car in 24 minutes?

(A) 28 km

(B) 35 km

(C) 30 km

(D) 25 km

 

  1. Find the value of a car bought for ₹2,50,000 if it depreciates at 20% p.a. after 3 years.

(A) ₹2,00,000

(B) ₹1,20,000

(C) ₹1,28,000

(D) ₹1,30,000

 

  1. Find the value of x if 5 is written in the form

(A) 3

(B) 2

(C) 6

(D) 8

 

  1. Phillip and Kevin made 60 paper flowers. If Phillip made 3 paper flowers while Kevin made 2, then how many did Phillip make?

(A) 36

(B) 24

(C) 30

(D) 20

 

  1. In a sale all items price are reduced by 25%. If a customer paid ₹6,750 for a sound system, then what was the regular price of the sound system?

(A) ₹27,000

(B) ₹20,250

(C) ₹9,000

(D) ₹5,400

 

  1. In a multiple choice test, 8 marks are awarded for each incorrect answer. If after 26 questions are answered, Raghu scored 0, how many questions did he answer correctly?

(A) 13

(B) 10

(C) 15

(D) 18

 

  1. A man and his son set out for a walk. The boy’s average step is two-third of his father’s. If the father has taken 12 steps find how many does the son take?

(A) 60

(B) 80

(C) 100

(D) 120

 

  1. Write the next term of the series.

5, 11, 19, 29, …..

(A) 39

(B) 41

(C) 40

(D) 42

 




 

  1. Rakesh sold his bike at a loss of 20%. If he sold it for ₹5,400 more, he would have sold it at a 10% profit. How much did he pay for the bike?

(A) ₹18,000

(B) ₹10,000

(C) ₹20,000

(D) ₹22,000

 

  1. Rohan took a loan of ₹1,500 with simple interest for as many years as the rate of interest. He paid ₹240 as interest at the end of loan period. Thus the time period he has taken to return the loan is

(A) 4 years

(B) 16 years

(C) 8 years

(D) 2 years

 

  1. The value of a new car is ₹4,00,000. If in the first year its value is decreased by 10%, find the value of the car in the beginning of the second year?

(A) ₹3,96,000

(B) ₹3,00,000

(C) ₹3,60,000

(D) ₹3,20,000

 

  1. If the combined daily wage of 5 men is ₹3,750, how much will 20 men earn in a week?

(A) ₹2,05,000

(B) ₹1,25,000

(C) ₹1,05,000

(D) ₹1,50,000

 

  1. A square PQRS is drawn on a paper and it was folded in half to form a rectangle of perimeter 30 cm. Then the perimeter of PQRS is

(A) 15 cm

(B) 60 cm

(C) 50 cm

(D) 40 cm

 

  1. 55% of the population of a city are male, 25% of the male population and 20% of the female population are under 21 years of age. If the population of the city is 10,000, find the ratio between the total population of males and females who are under 21.

(A) 55 : 36

(B) 11 : 9

(C) 5 : 1

(D) 5 : 4

 

  1. A tap drips water at a constant rate of 0.03 ml per second. How many litres is that per day?

(A) 2592

(B) 0.2592

(C) 0.1080

(D) 2.592

 

  1. The ratio of girls to boys who voted in the election is 2 : 3. If 10 more girls and 5 more boys were voted, then the ratio would have been 3 : 4. Hence the total number of students voted altogether is

(A) 325

(B) 235

(C) 125

(D) 532

 

  1. A container when half full holds 3.6 litres. How much more fluid is needed to make it ⅔ full?

(A) 7.2 litres

(B) 4.8 litres

(C) 1.2 litres

(D) 2 litres

 

  1. The area of a square park is equal to that of a rectangular field of length 96 m and breath 54 m. The length of the side of the square is

(A) 72 m

(B) 94 m

(C) 68 m

(D) 80 m

 




 

  1. 20% of a number is equal to ¹/₃₀, then the original number is

(A) ¹/₆

(B) ⅕

(C) ½

(D) 1

 

  1. Two trains are travelling towards each other on adjacent tracks. The first train is 86 m long and is moving at 120 km/h. The second train is 64 m long and is moving at 150 km/h. Find the time that elapses from the second that the trains first meet until they completely pass each other.

(A) 5 Sec

(B) 2 Sec

(C) 8 Sec

(D) 10 Sec

 

  1. If 3 cans of dog food will feed 2 dogs for 1 day, then how many dogs can be fed from 42 cans for 4 days?

(A) 6

(B) 5

(C) 7

(D) 8

 

  1. Rahul can dig the garden in 30 minutes, while his father takes 20 minutes. How long should they take if they work together?

(A) 10 min

(B) 12 min

(C) 15 min

(D) 6 min

 

  1. If xʸ=3 then the value of x⁴ʸ-25 is

(A) -13

(B) 30

(C) 56

(D) -15

 

 

  1. It costs of a family of two adults and three children ₹2,800 to go to a show. If a child’s ticket cost ½ of the price of an adult’s ticket, then the cost of an adult’s ticket is

(A) ₹600

(B) ₹800

(C) ₹500

(D) ₹700

 

  1. How much water must be added to 8 litres of a 90% acid solution to make a 75% solution?

(A) 1.5 litres

(B) 1.4 litres

(C) 1.2 litres

(D) 1.6 litres

 

  1. What is the week’s wages earned by a person who gets ₹3,700 per week plus 2% commission on the sale of goods in excess of ₹1,00,000, if his sales total is ₹2,40,000?

(A) ₹8,500

(B) ₹4,800

(C) ₹6,500

(D) ₹2,800

 

  1. A petrol pump can hold enough petrol to supply 80 cars with 35 litres each. Hence the number of cars it can supply with 50 litres petrol are

(A) 50

(B) 56

(C) 60

(D) 66

 

  1. Ravi has an average of 93 on 2 maths tests. What minimum marks does he need on his next tests to bring his average up to 95?

(A) 96

(B) 99

(C) 98

(D) 95

 




 

  1. A woman reduced her weight from 95 kg to 76 kg. Then the decrease per cent is

(A) 18%

(B) 9%

(C) 20%

(D) 10%

 

  1. Every morning Raj jogs to his work 8 km away at a constant speed of 12 km/h. How much time is saved if he cycles one morning at a speed of 20 km/h?

(A) 24 min

(B) 40 min

(C) 16 min

(D) 12 min

 

  1. Four women, A, B, C and D invested money in the ratio 1 : 4 : 7 : 8 in their business. Their profits were distributed according to their investment. If after one year C’s share of the profit was ₹35,000, then B’s share of the profit was

(A) ₹5,000

(B) ₹20,000

(C) ₹25,000

(D) ₹30,000

 

  1. Ramesh is 16 years older than Suresh. 20 years later Ramesh’s age will be four times the present age of Suresh. The present age of Ramesh is

(A) 12 years

(B) 28 years

(C) 36 years

(D) 32 years

 

  1. Find the value of

 

(A) 1

(B) -1

(C) 0

(D) 68

 

84.

 

(A) 50

(B) 45

(C) 55

(D) 30

 

  1. The sum of two numbers is 8 and their product is 16. Then the value of the sum of the reciprocals is

(A) 2

(B) ½

(C) 1

(D) 4

 

  1. A can with 30 marbles weighed 120 h=gm. The same can with 15 marbles weighed 95 gm. What is the weight of the can?

(A) 25 gm

(B) 50 gm

(C) 70 gm

(D) 65 gm

 

  1. The average age of a group of teachers is 35 and of principals is 50. If the average of the whole group of teachers and principals is 40, then the ratio of the number of teachers to the number of principals is

(A) 1 : 2

(B) 2 : 1

(C) 1 : 1

(D) 5 : 1

 

  1. Three year 8 classes had the same maths test. One class of 25 students had an average of 80%, the other class of 22 students had an average of 75%, while the third class of 13 students had an average of 61%. Then the average marks of all the students in the three classes is

(A) 74%

(B) 74.05%

(C) 123.42%

(D) 123%

 

Video Explanation





 

Food SI Question Paper – 2022 (S-4)


How much?

(A) 2

(B) 3

(C) 5

(D) 6

 

  1. The percentage measurement of water is 20% in 70 litres mixture of milk and water. How much litres water should be added in the mixture, so that the percentage measurement of water becomes 30% in the mixture?

(A) 15 litres

(B) 10 litres

(C) 20 litres

(D) 25 litres

 

  1. The ratio of income of two persons is 2 : 3 and the ratio of expenditure is 5 : 9. If both of the two persons can save rupees 600 at the end of a month, then what is the monthly income of the first person?

(A) Rs.1,600

(B) Rs.1,200

(C) Rs.1,800

(D) Rs.2,000

 

  1. An empty tank is water-filled by A and B pipes in 10 minutes, by B and C pipes in 12 minutes and by A and C pipes in 15 minutes. In how much time the three pipes together will fulfil the empty tank with water?

(A) 8 minutes

(B) 6 minutes

(C) 6½ minutes

(D) 5 minutes

 

  1. What is the difference between compound interest and simple interest of rupees 5,000 in 2 years at 8% annual rate of interest?

(A) 64

(B) 26

(C) 52

(D) 32

 

  1. The product of two numbers is 1575 and the quotient is 9/7, what are the two numbers?

(A) 45, 35

(B) 81, 63

(C) 35, 27

(D) 36, 35

 

  1. If (87¹⁹-6) is divided by 88, the remainder will be

(A) 5

(B) 1

(C) 81

(D) 87

 

  1. The product of three consecutive natural numbers is 120. What is the sum of the three numbers?

(A) 9

(B) 15

(C) 12

(D) 14

 

  1. What will be the value of angle between the hour-hand and minute-hand in a clock at dawn 4 a.m.?

(A) 90°

(B) 150°

(C) 120°

(D) 110°

 

  1. What will be the compound interest of rupees 900 in 2²/₉ years at 5% annual rate of interest?

(A) 103.28

(B) 110.20

(C) 104.50

(D) 102.16

 

  1. 1, 8, 9, 64, 25, 216, ?

(A) 49

(B) 256

(C) 128

(D) 343

 

  1. A cricketer had a certain average of runs up to his 64 innings. But the average runs of the innings gets down by 2 runs on becoming out at zero in the 65th innings. Then what is his present average of runs?

(A) 130

(B) 128

(C) 64

(D) 120

 




 

  1. What is the sum of the first 100 odd natural numbers?

(A) 10000

(B) 10650

(C) 15050

(D) None of the above

 

  1. What digit is to be put in the ‘*’ marked place to get the number 5432*7 divisible by 9?

(A) 0

(B) 1

(C) 6

(D) 9

 

  1. How many times will be some principal in principal & interest in 10 years at 10% years at 10% annual rate of simple interest?

(A) 1½ times

(B) 2 times

(C) 2½ times

(D) 3 times

 

  1. A train crosses a lamp-post in 10 seconds and crosses a 50 metres long platform in 14 seconds. Then what will be the speed of the train in an hour?

(A) 60 km/hour

(B) 45 km/hour

(C) 30 km/hour

(D) 40 km/hour

 

  1. If 26th day of March of 2019 is Tuesday, what day will be 26th day of March of 2022?

(A) Saturday

(B) Sunday

(C) Thursday

(D) Wednesday

 

  1. A 70 metres long train in a speed of 75 km/hour will cross a 105 metres long bridge in _____ time.

(A) 2⅕ seconds

(B) 8⅖ seconds

(C) 9⅖ seconds

(D) 18⅖ seconds

 

  1. A, B and C start a joint business. At the end of the year, A gets ⅖ portion of dividend, B gets ¼ portion of dividend and C gets rupees 4,900. What was the total profit in the business?

(A) Rs.12,000

(B) Rs.14,000

(C) Rs.15,000

(D) Rs.10,000

 

  1. A train goes 10 km distance in 12 minutes. If the speed of the train decreases 10 km/hour, then how much time will be needed for the train to go that distance?

(A) 20 minutes

(B) 10 minutes

(C) 15 minutes

(D) 25 minutes

 

  1. The cost price of an article is rupees 620 and it is 25% less than the marked price. If the article is sold at 15% discount, then the percentage of profit will be

(A) 14⅔%

(B) 13⅖%

(C) 13⅓%

(D) 12⅖%

 

47.

 

P=How much?

(A) 190

(B) 225

(C) 255

(D) 536

 




 

  1. 12 people can finish a work in 4 days. How many people will be needed to do 8 times of this work in half of the time?

(A) 112 people

(B) 150 people

(C) 160 people

(D) 192 people

 

  1. The smallest number among 3¹ᐟ³, 9¹ᐟ⁹, 3¹ᐟ⁵, 9¹ᐟ⁶ is

(A) 3¹ᐟ³

(B) 9¹ᐟ⁹

(C) 3¹ᐟ⁵

(D) 9¹ᐟ⁶

 

  1. The product of two consecutive numbers is 1980, what is the smallest number?

(A) 33

(B) 44

(C) 35

(D) 55

 

  1. Which is the highest number of six digits divided by 7, 12, 5 and 15 remaining the remainders 5, 10, 3 and 13 respectively?

(A) 999608

(B) 999598

(C) 999600

(D) 999500

 

  1. If rupees 42 is the difference of interest of some amount of principal between 3 and 4 years at 5% annual rate of simple interest, what is the amount of principal ?

(A) Rs.800

(B) Rs.840

(C) Rs.900

(D) Rs.620

 

  1. The average of 20 numbers is 12. If the average of the first 12 numbers is 11 and the average of the next 7 numbers is 10, the last number will be

(A) 38

(B) 36

(C) 26

(D) 28

 

67.

=How much?

(A) ¹/₂₅

(B) ³/₂₅

(C) ²/₂₅

(D) ¹/₅

 

  1. 4 years ago, the ratio of ages of father and son 9 : 2. The present age of the father is 40 years. What will be the present age of the son?

(A) 12 years

(B) 15 years

(C) 18 years

(D) 10 years

 

  1. A and B together can finish a work in 10 days, B and C together can finish that work in 12 days and C and A together can finish the work in 15 days. Then in how many days C alone will be able to do the work?

(A) 10 days

(B) 20 days

(C) 30 days

(D) 40 days

 

  1. Find out the value:

777⅕+777⅖+777⅗+777⅘

(A) 3110

(B) 3018

(C) 3000

(D) 3108

 

  1. The population of a village is 67,000. If 4% of population increases every year in the village, then what was the population of the village 2 years ago?

(A) 64,500

(B) 62,400

(C) 62,500

(D) 65,100

 




 

  1. In what proportion pure milk is mixed with water to sell the mixed milk at its cost price having 25% profit?

(A) 4 : 1

(B) 3 : 2

(C) 3 : 1

(D) 5 : 4

 

  1. The ratio of lengths of two trains is 5 : 4. The ratio of times to cross a post is 4 : 3. then what will be the ratio of speeds of the two trains?

(A) 15 : 16

(B) 5 : 3

(C) 6 : 5

(D) 5 : 4

 

  1. What is the unit digit of (593)²³×(124)²⁶?

(A) 8

(B) 6

(C) 4

(D) 2

 

  1. If the g.c.d. and the l.c.m. of two numbers are respectively 8 and 160, then the sum of the two numbers will be

(A) 80

(B) 62

(C) 74

(D) 72

 

  1. The total equivalent discounts of 10%, 20% and 30% serially on an article is

(A) 71.2%

(B) 62%

(C) 60.4%

(D) 49.6%

 

  1. If the price of sugar increases by 20% and 10% respectively, what will be the percentage increase on the total?

(A) 20%

(B) 32%

(C) 40%

(D) 30%

 

  1. Buying 5 eggs at rupees 10, sells 10 eggs at rupees 5, then what is the rate of loss?

(A) 75%

(B) 50%

(C) 80%

(D) 100%

 

  1. What is the value of

 

(A) 0.67

(B) 1

(C) 0.138

(D) 2

 

  1. What is the average of the cubes of consecutive even natural numbers from 1 to 25?

(A) 5200

(B) 4240

(C) 4056

(D) 4628

 

  1. If

What is the value of x²?

(A) -1

(B) 4

(C) 1

(D) 16

 

  1. A tank filled with water is made empty by two pipes in 6 hours and 10 hours respectively. What portion of the tank will be remained water-filled after 2 hours on opening the two pipes together?

(A) ⁸/₁₅ portion

(B) ⁷/₁₅ portion

(C) ⅕ portion

(D) ½ portion

 

  1. 10 carpenters can make 6 almirahs in 7 days. Then how days will take 21 carpenters to make 18 almirahs?

(A) 10 days

(B) 12 days

(C) 16 days

(D) 15 days

 

  1. Average of three number is 77. The first number is twice of the second number and the second number is twice of the third number. Then what is the first number?

(A) 132

(B) 144

(C) 120

(D) 160

 

  1. If ²⁶/₁₁ : ²⁴/₉ :: K : ¹⁴/₁₃, then K= How much?

(A) ⅓

(B) 2

(C) ²¹/₂₂

(D) 3

 

  1. Evaluate the smallest number which is completely divisible by 18, 30, 21 and 12 if it is made thrice.

(A) 420

(B) 360

(C) 520

(D) 660

 

  1. If A is 10% less of B and B is 10% more than 900, then what is the value of A?

(A) 660

(B) 800

(C) 891

(D) None of the above

 

  1. In an election, a candidate getting 60% of votes defeats the opponent candidate by 298 votes . Then total how many votes were polled in that election?

(A) 1600

(B) 1490

(C) 1460

(D) 1540

 

Video Explanation




 

Food SI Question Paper – 2022 (S-5)

  1. The time at which a sum of Rs.1,600 becomes Rs.1,852.20 at an annual rate of interest 20% compounded quantity is

(A) 3 months

(B) 6 months

(C) 9 months

(D) 12 months

 

  1. Five years ago, the father’s age was 8 times that of his son’s age. Five years hence, the sum of their ages will be 65 years. Father’s present age is

(A) 50 years

(B) 40 years

(C) 45 years

(D) None of the above

 

  1. The denominator of a fraction exceeds its numerator by 4. If both the numerator and denominator are increased by 3, the new fraction becomes ⅘. The original fraction is

(A) ¹³/₁₇

(B) ¹²/₁₇

(C) ¹¹/₁₇

(D) ¹⁴/₁₇

 

  1. The circumferences of the front and rear wheel of a rail engine are respectively 140 cm and 350 cm. The least distance to be covered by the engine so that both the wheels complete their full rotation simultaneously is

(A) 1400 cm

(B) 700 cm

(C) 1050 cm

(D) 980 cm

 

  1. The age of a man is twice the sum of the ages of his two children. After 20 year, his age will be equal to the sum of the ages of his two children. The age of the man is

(A) 35 years

(B) 45 years

(C) 40 years

(D) 50 years

 

  1. The average weight of some number of students is 55 kg. Among them the average weight of 20 students is 60 kg and that of the rest of the students is 51 kg. Total number of students is

(A) 54

(B) 52

(C) 48

(D) 45

 

  1. The ratio of two liquids A and B in a mixture is 2 : 3 and that in another mixture is 5 : 4. to get the equal quantity of the liquids A and B, the required ratio of the two mixtures is

(A) 3 : 7

(B) 4 : 9

(C) 6 : 11

(D) 5 : 9

 

  1. The number of biggest squared-shaped stone required to cover a rectangular area of sides 45 m and 33 m is

(A) 175

(B) 165

(C) 155

(D) 145

 

  1. A fruit vendor buys certain number of bananas. If the selling price of 5 bananas is equal to the cost price of 6 bananas, then his profit or loss percentage is

(A) 20%

(B) 25%

(C) 15%

(D) 30%

 

  1. A bag contains of rupee 1, 50 paise and 25 paise and the ratio of the values of the coins is 4 : 5 : 6. Then ratio of the numbers of the coins is

(A) 3:5:7

(B) 2:5:12

(C) 2:5:9

(D) 2:3:10

 

  1. The sum of two numbers is 150 and their H.C.F. is 15. The numbers are

(A) 60, 90

(B) 30, 120

(C) 75, 75

(D) 45, 105

 





 

  1. A man covers a distance of 24 km in 3½ hrs partly on foot at a speed of 4.5 km/hr and partly on bicycle at a speed of 10 km/hr. Then the man covers the distance on foot is

(A) 10 km

(B) 9 km

(C) 11 km

(D) 12 km

 

  1. In a flood relief camp there was a provision of food for 1000 people for 100 days, after 25 days, 250 people went away elsewhere. Number of days the remaining food lasts for remaining people is

(A) 100 days

(B) 90 days

(C) 200 days

(D) 160 days

 

  1. Aparna has enough money to buy 36 oranges at a rate of Rs.4.50 per orange is increased by 90 paise is

(A) 30

(B) 27

(C) 33

(D) 36

 

  1. A policeman starts to chase a thief. When the thief goes 5 steps, the policeman moves 6 steps. Again, 3 steps of the policeman is equal to 6 steps of the thief. The ratio of the speeds of the policeman and the thief is

(A) 12 : 11

(B) 11 : 7

(C) 12 : 7

(D) 12 : 5

 

  1. Ratio of three positive number is 2 : 3 : 5, sum of whose square is 950. Then the numbers are

(A) 2, 3, 5

(B) 8, 12, 20

(C) 10, 15, 25

(D) 12, 18, 30

 

  1. A number of two digits exceeds four times the sum of its digits by 6. It is increased by 9 on reversing the digits. The number is

(A) 45

(B) 43

(C) 34

(D) 54

 

  1. A 3-digit number is subtracted by a number obtained by reversing the digits of the original number. Then the difference is divisible by

(A) 91

(B) 98

(C) 99

(D) 101

 

  1. Mr. Bose’s monthly income is Rs.16,000. He spends ¼ of his income on food. Out of the remaining, he spends ³/₁₀ on house rent and ⁵/₂₄ on the education of his children. Money he saves per month is

(A) Rs.5,700

(B) Rs.5,800

(C) Rs.5,900

(D) Rs.6,200

 

  1. Out of 8000 candidates, 60% were boys. If 80% of the boys and 90% of the girls passed the examination, number of candidates failed is

(A) 1260

(B) 1270

(C) 1250

(D) 1280

 

  1. A person went to some place at a speed of 15 km/hr and returned to original place at a speed of 10 km/hr. The average speed of the person is

(A) 12 km/hr

(B) 13 km/hr

(C) 12.5 km/hr

(D) 14 km/hr

 

  1. A student secured 32% in an examination and failed by 12 marks. Another student secured 42% marks and got 28 marks more than the pass marks. The maximum marks of the examination is

(A) 500

(B) 600

(C) 400

(D) 700

 

  1. The ratio of milk and water in three equal pots are in the ratios 3:1, 5:3 and 9:7 respectively. Then the pot in which milk is more than water—

(A) Equal milk in all pots

(B) 3rd pot

(C) 2nd pot

(D) 1st pot

 




 

  1. Manish sold his watch at 10% loss. If he had sold for Rs.54 more, he would have made 8% profit. The selling price of the watch is

(A) Rs.490

(B) Rs.350

(C) Rs.270

(D) Rs.420

 

  1. What will be the angle between the hands of a clock when the time is at 12:10 a.m.?

(A) 25°

(B) 50°

(C) 60°

(D) 40°

 

  1. The ratio of monthly income of two persons is 9:7 and the ratio of monthly expenditure is 4:3. If each of them manages to save Rs.2,000 per month, then their monthly incomes are

(A) Rs.18,000, Rs.14,000

(B) Rs.13,500, Rs.10,500

(C) Rs.22,500, Rs.17,500

(D) Rs.27,000, Rs.21,000

 

  1. If

Then x=

(A) 5

(B) 2

(C) 1

(D) 3

 

  1. A gardener has 1400 plants to arrange in same number of rows and columns in a square field. The minimum number of more plants required to make such arrangement is

(A) 45

(B) 41

(C) 49

(D) 44

 

  1. The least number that must be added to 6412 to get a perfect square is

(A) 141

(B) 129

(C) 139

(D) 149

 

  1. A chemist has a solution which has 25% acid. The amount of two solutions required to make 10 litres of 40% acid solution are

(A) 6 litres, 4 litres

(B) 4 litres, 6 litres

(C) 7 litres, 3 litres

(D) 3 litres, 7 litres

 

  1. A, B and C start a business together. In a year they earn Rs.29,000. If the ratio of investment of A and B is 3 : 2 and that of B : C is 5 : 2, then A earns

(A) Rs.15,000

(B) Rs.14,000

(C) Rs.16,000

(D) Rs.18,000

 

  1. Three bells toll together and then at an intervals 3⅓, 2½ and 1⅓

(A) 10 seconds

(B) 8 seconds

(C) 12 seconds

(D) 15 seconds

 

  1. The length and breadth of a rectangular area increased and decreased respectively by 10%. Then the percentage of reduction/increase of the area is

(A) 0.9%

(B) 1%

(C) 1.1%

(D) 2.1%

 

  1. A man donated ⅒ of his money to a school, ⅙ of the remaining to a church and the remaining money he distributed equally among his three children. If each child gets Rs.50,000, then the man originally had

(A) Rs.1,50,000

(B) Rs.2,00,000

(C) Rs.2,50,000

(D) Rs.3,00,000

 

  1. The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and the denominator are increased by 3, the fraction becomes ⅔. The fraction is

(A) ⁷/₁₂

(B) ⁵/₉

(C) ⁸/₁₁

(D) ⁷/₉

 




 

  1. A steamer travels 90 km downstream at the same time as it takes to travel 60 km upstream. If the speed of the stream is 5 km/hr then the speed of the steamer in still water is

(A) 20 km/hr

(B) 15 km/hr

(C) 25 km/hr

(D) 30 km/hr

 

  1. A train passes a bridge 264 m long in 20 sec, but it takes 8 sec to cross a signal post of the rail line. The speed of the train is

(A) 83.6 km/hr

(B) 79.2 km/hr

(C) 64 km/hr

(D) 72.8 km/hr

 

  1. The number nearest to 100000 exactly divisible by 2, 3, 4, 5, 6 and 7 is

(A) 100030

(B) 100010

(C) 100020

(D) 99960

 

  1. A farmer grows paddy and jute in his 35 bighe of land in a ratio 4:3. He earns as profitRs.2,500 per bighe from paddy and Rs.2,800 per bighe from jute. The ratio of profit from paddy and jute is

(A) 25 : 21

(B) 5 : 4

(C) 23 : 22

(D) 4 : 5

 

  1. If

Then x=

(A) ⁸⁸/₁₉

(B) ⁸⁷/₁₉

(C) ⁹¹/₁₉

(D) ⁸⁹/₁₉

 

  1. The salary of a person is reduced by 25%. The percentage increase of the present salary to get back the earlier salary is

(A) 35%

(B) 25%

(C) 20%

(D) 33⅓%

 

  1. If ¼ of a number is added to ⅓ of that number, the result is 15 greater than ½ of that number. The number is

(A) 160

(B) 190

(C) 180

(D) 170

 

  1. A man buys postage stamp of 25 paise and 50 paise for Rs.10. He buys 28 stamps in all. Number of 25 paise stamp bought by him is

(A) 16

(B) 20

(C) 12

(D) 15

 

 

  1. The difference of the compound interest and simple interest on certain amount at the rate of 10% for 2 years is Rs.50. Then the amount is

(A) Rs.6,000

(B) Rs.5,000

(C) Rs.7,500

(D) Rs.4,500

 

  1. If 3 men or 4 women can earn Rs.480 in a day, then the amount that 6 men and 11 women will earn in day is

(A) Rs.2,380

(B) Rs.2,320

(C) Rs.2,280

(D) Rs.2,220

 

  1. A, B, C can do a piece of work together in 15 days. B alone and C alone can do the work in 30 days and 40 days respectively. A alone can do the work in

(A) 60 days

(B) 30 days

(C) 120 days

(D) 75 days

 




 

  1. In a school there were 660 students and the ratio of the number of the boys and girls was 13 : 9. After a few days 30 girls joined the school and few boys left the school. As a result, the ratio of the boys and girls become 6 : 5. The number of boys left the school is

(A) 40

(B) 50

(C) 30

(D) 60

 

  1. Raju sells two calculators for Rs.1,500 each. He earns a profit of 25% on one and suffers a loss of 25% on another. The profit/loss of the person is

(A) Rs.100

(B) Rs.200

(C) Rs.300

(D) Rs.350

 

  1. In 1972, the population of a village was 2000. In 1982 male population was increased by 10% and female population was decreased by 6% but there was no change of the total population. Then the male population in the year 1972 was

(A) 730

(B) 750

(C) 720

(D) 770

 

  1. The six digit least number which is exactly divisible by 215 is

(A) 100170

(B) 100180

(C) 100190

(D) 100160

 

  1. 3 men 4 boys can do a piece of work in 14 days, while 4 men and 6 boys can do the same work in 10 days. A boy can finish the work in

(A) 140 days

(B) 130 days

(C) 150 days

(D) 120 days

 

Video Explanation





 

Food SI Question Paper – 2022 (S-6)

  1. Find value:

 

(A) (x-1)/(x+2)

(B) (x+2)/(x-1)

(C) (x-3)/(x-1)

(D) None of the above

 

  1. If the mode of data 16, 15, 17, 16, 15, x, 19, 17, 14 is 15. Then value of x is

(A) 15

(B) 16

(C) 17

(D) 19

 

  1. Half of a tank of 21 dcm length, 11 dcm breadth and 6 dcm depth is full of water. Now if 100 iron spheres of 21 dcm diameter is immersed completely into the water of the tank, find the rise of water level in dcm.

(A) 2.1 dcm

(B) 21 dcm

(C) 21 cm

(D) 2.1 cm

 

  1. A pump of 5 HP can lift 36000 lt. of water in 8 hrs. How long it will take to lift 63000 lt. Of water by a 7 HP pump?

(A) 10 hrs.

(B) 12 hrs.

(C) 15 hrs.

(D) 8 hrs.

 

  1. If the median of arranging the ascending order of data 8, 9, 12, 17, x+2, x+4, 30, 31, 34, 39 is 24. Then value of x is

(A) 22

(B) 21

(C) 20

(D) 24

 

  1. If 0.8x + x/5 = 0.23 + 2, then value of x is

(A) 3.32

(B) 22.3

(C) 2.23

(D) 33.2

 

  1. A man can row 8 km/hr in still water. If the river is running at 3 km/hr, it takes 3 hrs. More in upstream than to go downstream for the same distance. The distance of place is

(A) 22.5 km

(B) 32.5 km

(C) 25 km

(D) 27.5 km

 

  1. The points D and E are situated on the sides AB and AC of ΔABC in such a way that DE||BC and AD:DB=3:1; if EA=3.3 cm, then length of AC=?

(A) 1.1 cm

(B) 4 cm

(C) 4.4 cm

(D) 5.5 cm

 

  1. The value of 

 

(A) 9

(B) 8

(C) 6

(D) 4

 

  1. A pond will be dug in our locality. 24 men need 12 days to cut that pond. How many men will be needed to dig that pond in 8 days?

(A) 36

(B) 30

(C) 48

(D) None of the above

 

  1. Find value of sin 43°cos47° + cos 43°sin 47°.

(A) 0

(B) 1

(C) sin4°

(D) cos4°

 

  1. The average of 5 numbers is 45. First four number is 40, 35, 60, 55, then the fifth number is 

(A) 40

(B) 35

(C) 60

(D) 55

 




 

  1. Measurement of each of 5 interior angle is 172° and measurement of each of the other interior angle of a polygon is 160°. Number of sides of the polygon is

(A) 20

(B) 21

(C) 25

(D) 30

 

  1. The diagonals of rhombus are in the ratio 3:4. If the area of the rhombus is 54 cm², then the perimeter of the rhombus is

(A) 48 cm

(B) 60 cm

(C) 30 cm

(D) 12 cm

 

  1. If the angle of elevation of the top of mobile tower from a distance of 10 m from its foot is 60°, then the height of the tower is

(A) 10 m

(B) 10√3 m

(C) 10/√3 m

(D) 100 m

 

  1. Find the value of K for which (x-3) will be a factor of the polynomial K²x³-Kx²+3Kx-K.

(A) 0 or 1/27

(B) 0

(C) 1/27

(D) 0 or –1/27

 

  1. What will be the value of 

 

(A) ⁵/₈₄

(B) ³/₇₀

(C) ⁷/₉₀

(D) ⅙

 

  1. If x = 2+√3, x+1/x = ?

(A) 2

(B) 2√3

(C) 4

(D) 2-√3

 

  1. In an Election, 80% voters cast their votes and the winning candidate got 65% of the cast votes. Find out the percentage of total voters supported him.

(A) 26%

(B) 78%

(C) 52%

(D) 13%

 

  1. If a person travels 10 km by bus in 30 mins. Then the velocity of the bus is

(A) 10 km/hr

(B) 20 km/hr

(C) 30 km/hr

(D) 40 km/hr

 

  1. The length of a radius of a circle is 13 cm and the length of a chord of a circle is 10 cm, the distance of the chord from the centre of the circle is

(A) 12.5 cm

(B) 12 cm

(C) √69 cm

(D) 24 cm

 

 


(A) 10

(B) 10⁻¹

(C) 10⁻²

(D) 1

 

  1. The product of two positive number is ¹⁶/₅₀ and their quotient is ½. Two numbers are

(A) ⅕, ⅘

(B) ⅖, ⅘

(C) ⅖, ⁶/₅

(D) ⅗, ⅘

 




 

  1. If 

The value of p is

(A) 10

(B) 12

(C) 11

(D) 13

 

  1. The price of a machine in a factory depreciates at the rate of 10% of the price at the beginning of the year. If the present price is Rs.60,000, then calculate what will be its estimated price after 3 years.

(A) Rs.43,740

(B) Rs.43,700

(C) Rs.43,640

(D) Rs.44,740

 

  1. If a commodity is sold with successive discounts of 20% and 10%, what will be the equivalent discount ?

(A) 28%

(B) 30%

(C) 10%

(D) 20%

 

  1. A person goes 24 m west from a place and then he goes 10 m north. The distance of the person from the starting point is

(A) 34 m

(B) 17 m

(C) 26 m

(D) 25 m

 

  1. A train passes two bridge of lengths 210 m and 122 m in 25 sec and 17 sec. Respectively. Length of the train is

(A) 60 m

(B) 70 m

(C) 65 m

(D) 75 m

 

  1. The cost of cultivation of a 30 m long pieces of land is Rs.150. If the breadth of the land be 5 m less, the cost would have been Rs.120. The breadth of the land is

(A) 25 m

(B) 35 m

(C) 30 m

(D) 40 m

 

  1. What is the rate of simple interest per annum, when the interest of some money in 10 years will be ⅖ part of its amount (principal along with interest)?

(A) 5⅔%

(B) 6⅓%

(C) 6⅔%

(D) None of the above

 

  1. My uncle’s present age is twice of my sister’s age, 10 years ago, my uncle’s age was thrice of my sister’s age. Find the present age of my uncle. 

(A) 20 years

(B) 40 years

(C) 80 years

(D) 60 years

 

  1. A mixture contains alcohol and water in the ratio 4 : 3. If 5 lt. of water is added to the mixture, the ratio becomes 4 : 5. Then the quantity of alcohol in the given mixture is

(A) 10 lt. 

(B) 12 lt.

(C) 15 lt.

(D) 18 lt.

 

  1. A man’s present age is 125% of what it was 10 years ago. His present age is

(A) 40 years

(B) 70 years

(C) 50 years

(D) 60 years

 

  1. x ∝ y and y = 8 when x = 2; if y = 16, value of x is

(A) 2

(B) 4

(C) 6

(D) 8

 


X=?

(A) 16

(B) 4

(C) 2

(D) 8

 




 

  1. In a partnership business the ratio of capitals of Amit, Angana, Badal is as ⅙:⅕:¼. If they make a profit of Rs.3,700 at the end of the year. The profit share of Badal is

(A) Rs.1,500

(B) Rs.1,000

(C) Rs.1,200

(D) Rs.2,000

 

  1. If the roots of the quadratic equation 4x²+6Kx+9=0 are equal, then value of K is

(A) 2 or 0

(B) -2 or 0

(C) 2 or -2

(D) Only 0

 

  1. The length of a radius in a circle drawn by Arun is 7 cm, determine the circular value of an angle subtended by an arc of 5.5 cm  length at the centre of that circle.

(A) π/6

(B) π/3

(C) π/4

(D) π/2

 

  1. Bulu and Tathagata can do a work separately in 20 days and 30 days respectively. After working 7 days together both of them left away. Then Tatai came and completed rest of the work alone in 10 days. How many days Tatai will take to complete the work alone?

(A) 20 days

(B) 28 days

(C) 24 days

(D) 16 days

 

  1. The ratio of two numbers is 3:4 and their H.C.F. is 4. Their L.C.M. is

(A) 12

(B) 48

(C) 24

(D) 16

 

  1. The mean proportional of 16 and 25 is

(A) 400

(B) 100

(C) 20

(D) 40

 

  1. Which number would replace in question marks in the series ? The series 7, 12, 19, ?, 39.

(A) 24

(B) 26

(C) 28

(D) 29

 

  1. The degree of the polynomial √5 is

(A) ½ 

(B) 2

(C) 1

(D) 0

 

  1. By selling 110 mangoes, if the cost price of 120 mangoes has been got, what will be the profit percentage?

(A) 8⅓%

(B) 10%

(C) 9¹/₁₁%

(D) None of the above

 

  1. The lengths of radii of two circles are 5 cm and 3 cm. The two circles touch each other externally. The distance between two centres of two circles is 

(A) 2 cm

(B) 2.5 cm

(C) 1.5 cm

(D) 8 cm

 

  1. A train of length 100 m, moving with a speed of 60 km/hr passes a tree. How many time takes to pass the tree?

(A) 5 sec

(B) 8 sec

(C) 6 sec

(D) 7 sec

 

  1. 2cos3θ = 1, value of θ = ?

(A) 10°

(B) 15°

(C) 20°

(D) 30°

 

  1. The length of radius of a sphere is increased by 50%. How much per cent will be increased of its curved surface area?

(A) 120%

(B) 125%

(C) 25%

(D) 130%

 

  1. If a:2 = b:5 = c:8 then

50% of a = 20% of b = ______% of c.

(A) 12⅓

(B) 12½

(C) 10½

(D) None of the above

 

  1. For a two digit number, the sum of two digits of number is 14 and if 29 is subtracted from the number, the two digits will be equal. Two digit number will be

(A) 95

(B) 86

(C) 59

(D) 68

 

Video Explanation





 

Food SI Question Paper – 2019

  1. A General of an Army wants to create a formation of square from 36562 army men. After arrangement, he found some army men remained unused. Then, the number of such army men who remained unused was

(A) 36

(B) 65

(C) 81

(D) 97

 

  1. A class is divided into two sections A and B. Passing average of 20 students of section A is 80% and passing average of 30 students in section B is 70%. What is the passing average of both sections?

(A) 72%

(B) 74%

(C) 75%

(D) 77%

 

  1. If the average age of Rakesh and Mohan is 15, average age of Mohan and Ramesh is 12 and the average age of Rakesh and Ramesh is 13, then the age of Mohan is

(A) 16 years

(B) 13 years

(C) 14 years

(D) 12 years

 

  1. The population of a city is 250000. It is increasing at the rate of 2% every year. The growth in the population after 2 years is

(A) 2500

(B) 10000

(C) 252000

(D) 10100

 

  1. In an examination out of 480 students, 85% of the girls and 70% of the boys passed. How many boys appeared in the examination, if total pass percentage was 75%?

(A) 370

(B) 340

(C) 320

(D) 360

 

  1. A sum of Rs. 300 is divided among P, Q and R in such a way that Q gets Rs. 30 more than P and R gets Rs. 60 more than Q. The, ratio of their shares is

(A) 2:3:5

(B) 3:2:5

(C) 2:5:3

(D) 5:3:2

 

  1. In a class of 49 students, the ratio of girls to boys is 4:3. If 4 girls leave the class, the ratio of girls to boys would be

(A) 11:7

(B) 8:7

(C) 6:5

(D) 9:8




  1. One-half of a certain number is equal to 65% of the 2nd number. Find the ratio of 1st to 2nd number.

(A) 10:13

(B) 8:13

(C) 13:8

(D) 13:10

 

  1. A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have been fetched Rs. 5,100 more. The sum is

(A) Rs. 1,70,000

(B) Rs. 1,50,000

(C) Rs. 1,25,000

(D) Rs. 1,20,000

 

  1. Suresh borrowed Rs. 800 at 6% and Naresh borrowed Rs. 600 at 10%. After how much time, will they both have equal debts? (At simple interest)

 

  1. A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father’s and the mother’s age is 51 years. What is the age of the son?

(A) 7 years

(B) 5 years

(C) 4 years

(D) 3 years

 

  1. Before 7 years, the ratio of ages of A and B was 3:4. After 9 years, the ratio of their ages will be 7:8. The present age of B will be

(A) 16 years

(B) 19 years

(C) 28 years

(D) 23 years

 

  1. A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together?

(A) 2 days

(B) 3 days

(C) 4 days

(D) 5 days

 

  1. A does 20% less work than B. If A can complete a piece of work in 7 hours, then B can do it in

(A) 4 hrs

(B) 6 hrs

(C) 8 hrs

(D) 10 hrs




  1. X, Y and Z undertake to do a work for Rs. 6,000. X and Y together do of the work and rest is done by Z alone. How much should be share of Z?

(A) Rs.1,350

(B) Rs.1,200

(C) Rs.1,500

(D) Rs.1,450

 

  1. A train takes 9 seconds to cross a pole. If the speed of the train is 48 km/hr, then length of the train is

(A) 150 m

(B) 120 m

(C) 90 m

(D) 80 m

 

  1. A 400 m long train takes 36 sec. to cross a man walking at 20 km/hr in the direction opposite to that of the train. What is the speed of the train?

(A) 20 km/hr

(B) 30 km/hr

(C) 15 km/hr

(D) 11 km/hr

 

  1. If the speed of a swimmer in still water is 9 km/hr, find the downstream speed of the swimmer, when the river is flowing with the speed of 6 km/hr.

(A) 15 km/hr

(B) 18 km/hr

(C) 3 km/hr

(D) 12 km/hr

 

  1. X covers 1 km in 8 min 40 sec while Y covers the same distance in 10 min. By what distance does X defeat Y?

 

  1. What will be the angle between the hands of a clock when the time is at 4:40 p.m.?

(A) 120°

(B) 100°

(C) 110°

(D) 130°

 

  1. The LCM of two numbers is 2376 while the HCF is 33. If one of the numbers is 297, then the another number is

(A) 216

(B) 264

(C) 642

(D) 792

 

  1. 12, 16, 32, 68, 132, ?

(A) 196

(B) 232

(C) 276

(D) 213





  1. How many numbers between -11 and 11 are multiples of 2 or 3?

(A) 11

(B) 14

(C) 15

(D) None of the above

 

  1. What least number must be added to 1057 to get a number exactly divisible by 23?

(A) 1

(B) 3

(C) 2

(D) 4

 

  1. Today is Monday. What will be the day after 64 days?

(A) Thursday

(B) Wednesday

(C) Friday

(D) Tuesday

 

  1. The mean temperature of Monday to Wednesday was 37° C and of Tuesday to Thursday was 34° C. If the temperature on Thursday was 4/5 that of Monday, then the temperature of Thursday was

(A) 35.5°C

(B) 34°C

(C) 36.5°C

(D) 36°C

 

77.

(A) 378

(B) 756

(C) 252

(D) 332

 

78.

(A) 36864

(B) 46864

(C) 56864

(D) 66864

 

  1. Which one among the following is the largest?

(A) 7/9

(B) 11/14

(C) 3/4

(D) 10/13

 

  1. If

Then what is x equal to?

(A) 7/10

(B) 13/10

(C) 11/10

(D) 17/10




  1. A train covers 90 m in passing a standing man. Find the length of the train.

(A) 20 m

(B) 87 m

(C) 71 m

(D) 90 m

 

  1. A man covered a distance of 12 km in 90 min by cycle. How much distance will he cover in 3 hrs, if he rides the cycle at a uniform speed?

(A) 36 km

(B) 24 km

(C) 30 km

(D) 27 km

 

  1. To cover a distance of 315 km in 2.8 hrs, what should be the average speed of the car?

(A) 112.5 m/s

(B) 56.25 m/s

(C) 62.5 m/s

(D) 31.25 m/s

 

  1. If speed of 3⅓ m/s is converted to km/h, then it would be

(A) 8 km/h

(B) 9 km/h

(C) 10 km/h

(D) 12 km/h

 

  1. A tank can be filled by pipe X in 2 hrs. and pipe Y in 6 hrs. At 10 a.m., pipe X was opened. At what time will the tank be filled if pipe y is opened at 11 a.m.?

(A) 12:45 p.m.

(B) 5:00 p.m.

(C) 11:45 a.m.

(D) 11:50 a.m.

 

  1. 3 men can do a piece of work in 18 days. 6 boys can also do the same work in 18 days. In how many days, 4 men and 4 boys together will finish the work?

(A) 10 days

(B) 6 days

(C) 12 days

(D) 9 days

 

  1. If cost of 15 eggs is Rs.75, then find out the cost of 4 dozen eggs.

(A) Rs. 240

(B) Rs. 300

(C) Rs. 150

(D) Rs. 185

 

  1. P, Q and R start a business. P invests 3 times as much as Q invests and Q invests (2/3)rd as much as R invests. Find the ratio of capitals of P, Q and R.

(A) 3:2:6

(B) 2:6:3

(C) 6:2:3

(D) 5:2:3

 

  1. Jagatram, a milk seller has certain quantity of milk to sell. In what ratio, he should mix water to gain 5% by selling the mixture at the cost price?

(A) 1:10

(B) 1:5

(C) 1:20

(D) 1:15




  1. In what proportion must a grocer mix wheat at Rs. 2.04 per kg and Rs. 2.88 per kg so as to make a mixture worth Rs. 2.52 per kg?

(A) 2:3

(B) 3:2

(C) 5:3

(D) 3:4

 

  1. Anita purchased a bicycle at a cost of Rs. 3,200. She sold it at a loss of Rs. 240. At what price did she sell the bicycle?

(A) Rs. 2,960

(B) Rs. 2,690

(C) Rs. 3,440

(D) Rs. 3,360

 

  1. Gopal bought a cell phone and sold it to Ram at 10% profit. Then, Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal’s position if he agreed?

(A) Neither loss nor gain

(B) Loss 1%

(C) Gain 1%

(D) Gain 0.5%

 

  1. A shopkeeper allows a discount of 10% to his customers and still gains 20% on cost, the marked price of the article which costs Rs. 450, is

(A) Rs. 600

(B) Rs. 540

(C) Rs. 660

(D) Rs. 580

 

  1. A dozen pair of socks quoted at Rs. 80 are available at a discount of 10%. How many pair of socks can be bought for Rs. 24?

(A) 4

(B) 5

(C) 3

(D) 6

 

  1. What would be the simple interest obtained on an amount of Rs. 8,930 at the rate of 8% per annum after 5 years?

(A) Rs. 5,413

(B) Rs. 2,678

(C) Rs. 3,572

(D) Rs. 4,752

 

  1. Find the value of

(A) 5997

(B) 5979

(C) 5994

(D) 2997

 

97.

(A) 648

(B) 762

(C) 612

(D) 728

 

  1. The least number which when divided by 4, 6, 8 and 9 leaves a remainder of 7, is

(A) 144

(B) 72

(C) 36

(D) 85

 

  1. The HCF of three numbers is 23. If they are in the ratio of 1:2:3, then find the numbers.

(A) 69, 15, 22

(B) 23, 46, 69

(C) 25, 31, 41

(D) 23, 21, 35

 

  1. The sum of place values of 2 in 2424 is

(A) 4

(B) 220

(C) 2002

(D) 2020

 

Video Explanation

 




 

Food SI Question Paper – 2014

  1. If the length of a rectangle is increased by 8m its area increases by 72 sq.m. The breadth of the rectangle is

(A) 8m

(B) 12m

(C) 9m

(D) cannot be concluded from the given data

 

  1. Ratio of principal and yearly amount is 16:17. The rate of interest per annum is

(A) 12½%

(B) 6¼%

(C) 5(15/17)%

(D) 10%

 

  1. Area of a rectangle is 24 cm2 and perimeter 20 cm. then length of diagonal is

(A) 2√7

(B) 2√11

(C) 2√13

(D) 2√17

 

  1. Ratio of cost price and selling price is 5 : 4. Then find the % of loss.

(A) 15%

(B) 20%

(C) 25%

(D) 11(1/9)%

 

  1. A=2p, B=A+3, C=B+3 The average of A, B and C is

(A) p+3

(B) 2p+1

(C) 2p+3

(D) 3p+6

 

  1. 300 apples are distributed among A, B and C in such a way that three times of the number received by A may be equal to four times of B and 9 times that of C. The number of apples received by B is

(A) 108

(B) 100

(C) 104

(D) 118

 

  1. If the sum of two numbers is 50 and their mean proportional is 15, then the numbers are

(A) 35,15

(B) 25,25

(C) 40,10

(D) 45,5





  1. Rs. 15000 being the worth of 0.25 part of a property, the worth of 0.03×0.5 part of thesame property is (in Rs.)
    (A) 9000

(B) 2250

(C) 1500

(D) 900

 

  1. A number is as much greater than 21 as is less than 71. The number is

(A) 41

(B) 39

(C) 49

(D) 46

 

  1. Find the principal, if the interest is Rs.180 per year @ 5% per annum

(A) 3000

(B) 3500

(C) 3600

(D) 4000

 

  1. Rahul, Rohit and Rawnak enter into a partnership business with investments of Rs. 3500,
    Rs.4500 and Rs. 5500. If the first 6 months profit is Rs.405, then share of Rahul in the profit will be

(A) Rs. 200

(B) Rs. 105

(C) Rs. 250

(D) Rs. 150

 

  1. In a partnership business, 3/4th of A’s capital, 0.25 of B’s capital and 30% of C’s capital areequal. Share of profit of B in a total profit of Rs. 52,000 is

(A) Rs. 8,000

(B) Rs. 24,000

(C) Rs. 30,000

(D) Rs. 20,000

 

  1. Ratio of Cost price and selling price is 10:11, then profit percentage is

(A) 5%

(B) 10%

(C) 11%

(D) 20%

 

  1. In an examination 65% of the total number of examinees passed. If the number of failures is17% more than the number of candidates not appeared in the examination then total number of passed candidates is

(A) 620

(B) 310

(C) 106

(D) 403

 

  1. 12 persons take 9 days to prepare 18 windows. The no. of days required by 54 persons to prepare 45 windows.

(A) 1

(B) 5

(C) 3

(D) 10




  1. A rectangular field has an area of 864 sq.m. One of its side is 24m. The ratio of its lengthand breadth is

(A) 6:5

(B) 3:2

(C) 4:3

(D) 9:5

 

  1. If in “y” years Rs. z is obtained as simple interest @ x% per annum, then the principal is

(A) Rs. (100x)/yz

(B) Rs. (100yz)/x

(C) Rs. xyz

(D) Rs. (100z)/xy

 

  1. If the area of the four walls of a room is 88 sq.m. and the perimeter of its floor is 22 m.then the height of the room is (in m.)

(A) 5

(B) 4

(C) 4.5

(D) 8

 

  1. Rs. 570 are to be divided among A, B and C so that their shares are in the ratio 1/3:1/5:1/10. The respective share of B is

(A) Rs. 180

(B) Rs. 300

(C) Rs. 90

(D) Rs. 120

 

  1. If the ratio of the areas of two squares is 4:9, then the ratio of their perimeters is

(A) 2:3

(B) 1:2√3

(C) √2:√6

(D) 3√2:1

 

21. Average age of three brothers and their father is 18 years. Average age of these three brothers and their mother is 16 years. Mother’s age is 34 years. The age of the father is

(A) 42 years

(B) 39 years

(C) 40 years

(D) 38 years

 

  1. The average of the least and the greatest prime number of two digits is

(A) 54

(B) 55

(C) 54.5

(D) 55.5

 

  1. The price of oil is increased by 20%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is

(A) 1:6

(B) 6:1

(C) 5:1

(D) 1:5




  1. The ratio between the present age of A and B is 4:5. If the difference between their age is 8 years. Then sum of their personal age is

(A) 32 years

(B) 40 years

(C) 65 years

(D) 72 years

 

  1. If Н.С.F. of a and b be c, then L.C.M. will be-

(A) abc

(B) ab/c

(C) ac/b

(D) c/ab

 

  1. When a number is divided by 63 the remainder is 25. When the number is divided by 7 theremainder will be

(A) 2

(B) 3

(C) 4

(D) 5

 

  1. Price of an article is increased twice consecutively by 10% and as a result of the article becomes Rs. 484. Initial price of the article was

(A) Rs. 375

(B) Rs. 380

(C) Rs. 390

(D) Rs. 400




 
28. If Sourav runs at 31.2 kmph, then in 3 seconds he will run

(A) 26 m

(B) 30 m

(C) 35 m

(D) 42 m

 

  1. A book seller sold two books for Rs. 178 each. On one he gains 14% while on the other helosses 14%. His gain or loss in the whole transaction is

(A) loss of 1.41%

(B) gain of 2.56%

(C) gain of 4%

(D) loss of 1.96%

 

  1. A man by a car at 15/16th of its value and sells it for 10% more than its value. His gain percentage is

(A) 11.67

(B) 15.57

(C) 16.67

(D) 17.33

 

  1. A person sold 320 mangoes for the cost price of 400 mangoes. His gain percent is

(A) 10%

(B) 15%

(C) 12(½)%

(D) 25%

 

  1. If a, b, c are three sum of money such that b is the simple interest on a, c is the simple interest on b for the same time and the same rate of interest, then we have

(A) a2 = bc

(B) c2 = ab

(C) abc = 1

(D) b2  = ac

 

  1. A four digit number is divisible by 7 becomes divisible by 3 when 10 is added to it. The largest such number is

(A) 9987

(B) 9996

(C) 9999

(D) 9989

 

  1. Two buses travel to a place at 25 kmph and 35 kmph respectively. If the second bus takes 16(½) hr less than the first for the same journey the length of journey is

(A) 1100 km

(B) 900 km

(C) 1350 km

(D) 785 km

 

  1. The H.C.F of two number is 9 and their L.C.M is 270. If the sum of the number is 99, theirdifference is equal to

(A) 18

(B) 15

(C) 12

(D) 9





  1. The salaries of A, B and C are in the ratio of 2:3:5. The salary of B and C together is Rs.8000. Percentage of the salary of C more than that of A by-

(A) 150%

(B) 100%

(C) 200%

(D) 250%

 

  1. Average of three numbers is 21 and the average of these three numbers and a fourthnumber is 18. The fourth number is

(A) 7

(B) 8.5

(C) 8

(D) 9

 

  1. The average of 11 numbers is 6. If each number is multiplied by 7 then the average ofthe new set of numbers is

(A) 66

(B) 77

(C) 36

(D) 42

 

  1. A train 150m long crosses a standing man in 5 seconds. The speed of the train is

(A) 108 kmph

(B) 32 kmph

(C) 112 kmph

(D) 40.5 kmph

 

  1. The number 77 is divided into two parts such that H.C.F. of two parts is 11 and their L.C.M is 110. The smaller of the two parts is

(A) 11

(B) 22

(C) 44

(D) 55

 

  1. A person is asked to simplify (2+2×2)/(2/2×2) and his answer is 16. The percentage error committed by him is

(A) 23.1%

(B) 81.25%

(C) 433.33%

(D)  No error

 

  1. If 37(½)% of a number is 45 then 87(½)% of the number will be

(A) 105

(B) 102

(C) 96

(D) 92




  1. The simple interest on Rs.5250 from 1st February, 2013 to April 14, 2013 at 7(½)% rate will be

(A) Rs. 78.75

(B) Rs. 104

(C) Rs. 26.50

(D) Rs. 104.25

 

  1. 2/3rd of a number is greater than 1/6th of it by 10. The number is

(A) 15

(B) 20

(C) 33

(D) 12

 

  1. If the list price of an article be x and the price after discount (x-y), then the rate of discount is

(A) y%

(B) 100y/x%

(C) 100x/y%

(D) 100y%

 

  1. Speed of the stream is 2km/hr. A boat takes 2 hours to cover a distance down the stream and 3 hours to return. Speed of the boat is

(A) 15 km/hr

(B) 20 km/hr

(C) 10 km/hr

(D) 25 km/hr

 

47. A certain number of men can finish a piece of work in 60 days. If however, there were 10  men less, it would take 20 days more for the work to be finished. No. of men were there originally
(A) 20

(B) 30

(C) 50

(D) 40

48. The recurring decimal fraction 0.3333……∞. represents the real number

(A) 0.3

(B) 33/100

(C) 1/3

(D) 100/33

 

  1. A carton containing 20 glass toys is dropped. Which of the following cannot be the ratio of broken toy to unbroken toy?

(A) 1:4

(B) 3:1

(C) 3:2

(D) 5:1

 

  1. Rs. 1760 was divided between A and B in such a way that 1/3rd of A’s profit will be equal to 2/5th of B’s profit. Find the profit of B.

(A) Rs. 700

(B) Rs. 750

(C) Rs. 800

(D) Rs. 850

 

  1. Pointing to a photograph of a boy Suresh said, “He is the son of the only son of my mother”. How is Suresh related to the boy?

(A) Brother

(B) Uncle

(C) Cousin

(D) Father

 

  1. Which of the following is correctly matched?

(A) Agriculture-Honey Bee

(B) Pisciculture-Silk Moth

(C) Sericulture-Fish

(D) Aquaculture-Mosquitoes

 

  1. Look at this series 22, 21, 23, 22, 24, 23, … What number should come next?

(A) 22

(B) 24

(C) 25

(D) 26

 

Video Explanation

 




 

Food SI Question Paper – 2006

  1. A watch sold for Rs.60 incurs a loss of 15%. In order to make a profit of 2%, how much should be the watch sold for ?

(A) Rs.70

(B) Rs.72

(C) Rs.75

(D) Rs.85

 

  1. Square root of 0.111…

(A) 1

(B) ¹⁄₉

(C) ½

(D) 0.333…

 

  1. A work is done by A in 4 days, B in 5 days and C in 10 days. Working together A, B and C can complete the whole work in

(A) 1³/₅ days

(B) 3 days

(C) 2⁵/₆ days

(D) 1⁹⁄₁₁ days

 

  1. A sum of money triples itself in 30 years. The interest will be

(A) 6(2/3)%

(B) 10%

(C) 15%

(D) 6%

 

  1. Which among the following words are alike:

Students, Book, Pen, Pencil

(A) Pen, Pencil

(B) Pen, Books

(C) Books, Students

(D) Pencil, Students

 

  1. The interest on Rs.250 at 10% per annum for 3 years is

(A) Rs.70

(B) Rs.75

(C) Rs.80

(D) Rs.85

 

  1. In a barrack of soldiers there was stock of food for 190 days for 4000 soldiers. After 30 days 800 soldiers left the barrack. For how many days shall the left-over food last for the remaining soldiers?

(A) 175 days

(B) 200 days

(C) 225 days

(D) 250 days




  1. The ratio of the angles of a triangle is 3 : 5 : 10, the measure of the largest angle is:

(A) 100°

(B) 80°

(C) 70°

(D) 110°

 

  1. The number which is divisible by 12, 18, 21 and 32 between 4000 and 5000 is:

(A) 4203

(B) 4023

(C) 4032

(D) 4302

 

  1. The value of – 50% of 50 + 50

(A) 50

(B) 100

(C) 150

(D) 75

 

  1. If ‘BAD’ is coded as 214, then ‘PAD’ will be coded as

(A) 1624

(B) 1614

(C) 215

(D) 712

 

  1. A silver-nickel alloy contains a mixture of 40% silver and 60% nickel. 120 pounds of such alloy contains silver of

(A) 48 Pound

(B) (100/120) Pound

(C) 50 Pound

(D) 60 Pound

 

  1. Product of two consecutive even numbers is 528, what are the numbers ?

(A) 44, 42

(B) 52, 54

(C) 34, 32

(D) 22, 24

 

  1. 9 litres of a mixture of milk and water contains 50% milk. How much quantity of water should be added so that the mixture contains 30% milk ?

(A) 3 litre

(B) 4 litre

(C) 5 litre

(D) 6 litre





  1. Ratio of two numbers is 3 : 4 and their L.C.M. is 120; find their H.C.F..

(A) 40

(B) 30

(C) 20

(D) 10

 

  1. A got 10% less marks than B. Then how much percentage more did B get from A ?

(A) 10%

(B) 11%

(C) 11(1/9)%

(D) 9(1/11)%

 

  1. Which number can be replaced by the ‘?’ Symbol

(A) 1

(B) 20

(C) 25

(D) 100

 

  1. A train 100 meter long crosses a bridge 100 meter long in 6 seconds. How much time will be taken by the same train to cross another bridge 200 m long ?

(A) 8 second

(B) 9 second

(C) 10 second

(D) 12 second

 

  1. Find the odd one out from the given words:

(A) Mango

(B) Banana

(C) Radish

(D) Guava

 

  1. As a pen and a piece of paper is related to each other, similarly a piece of chalk is related to

(A) Book

(B) Library

(C) Classroom

(D) Blackboard

 

  1. An increase of 20% tax on an article, reduces its usage by 20%. The total amount of tax received from the article

(A) Remains same

(B) increases by 4%

(C) decreases by 4%

(D) decreases by 5%




  1. Three sons of Hari takes birth after every 3 years. Total age of three sons is 24 years, then age of the youngest son is

(A) 7 years

(B) 8 years

(C) 5 years

(D) 10 years

 

  1. 64 litres of a mixture contains milk and water in the ratio 5 : 3. How much more quantity of water must be added so that the ratio of milk and water becomes 3 : 5 ?

(A) 40 litre

(B) 42 litre

(C) 42(2/3) litre

(D) 44 litre

 

  1. The average of 15 numbers is 7. The average of first 8 numbers is 6.5 and average of the last 8 numbers is 9.5. Which one is the middle number ?

(A) 21

(B) 22

(C) 23

(D) 24

 

  1. Factory : Siren is similar to

(A) Motor Car : Engine

(B) House : Room

(C) Clock : Bell

(D) Library : Book

 

  1. A is the mother of B, B is the daughter of C, C is the father of D, how is A related to D ?

(A) Niece

(B) Mother

(C) Father

(D) Daughter

 

  1. The salary of a man decreases by 50% and again increases by 50%. How much loss did he incur ?

(A) 50%

(B) 22%

(C) 25%

(D) 20%

 

  1. In order to pass in a subject one has to get 36% marks. A student got 55 marks and heard that if he would have got 2 marks less then he would have failed. What was the total marks of the subject ?

(A) 100

(B) 125

(C) 150

(D) 200




49.

(A) 0

(B) 1

(C) 2

(D) 3

 

  1. The price of an article is decreased by 25%. To bring back to its previous value, the current price should be increased by —

(A) 25%

(B) 33(1/3)%

(C) 20%

(D) 50%

 

  1. 12 men working 8 hours a day can complete a work in 30 days, 18 men working 4 hours a day can complete the work in:

(A) 30 days

(B) 40 days

(C) 45 days

(D) 50 days

 

  1. If Hari earns 20% more than Madhu, how much percent does Madhu earn less than Hari ?

(A) 20%

(B) 15%

(C) 16(2/3)%

(D) 22%

 

  1. Cost price of 4 articles is equal to selling price of 3 articles. Gain percent is:

(A) 25%

(B) 40%

(C) 33(1/3)%

(D) 37(½)%

 

  1. A man rows 18 km downstream in 4 hours and returns back in 12 hours. The speed of the stream in hours is

(A) 1 km

(B) 1.5 km

(C) 1.73 km

(D) 2 km

 

  1. The price of rice is increased from Rs. 10 to Rs. 12.50. What is the increase in percent ?

(A) 20%

(B) 22%

(C) 25%

(D) 30%




  1. A cyclist riding with the speed of 5m/s. What is the speed in km/hr. ?

(A) 18 km/hr

(B) 15 km/hr

(C) 30 km/hr

(D) 36 km/hr

 

  1. A man travels from his house at the speed of 15 km/hr. and returns back at the speed of 10 km/hr. Average speed of his total journey is

(A) 11 km

(B) 12 km

(C) 12(½) km

(D) 13 km

 

  1. Square root of 0.0009 is

(A) 0.003

(B) 0.0000003

(C) 0.03

(D) 0.0003

 

  1. Like Tiger is to Cat, similarly Snake is to

(A) Rat

(B) Crocodile

(C) Rabbit

(D) Lion

 

  1. The largest 5 digit number divisible by 15, 36, 21 is

(A) 99999

(B) 9959

(C) 9979

(D) 99540

 

  1. Hari, Jadu, Madhu started a business. Hari contributed ½ part, Jadu contributed ¹⁄₃ part and the rest of the amount given by Madhu. What will be the ratio of their profit ?

(A) 2 : 3 : 1

(B) 3 : 2 : 5

(C) 2 : 3 : 6

(D) 3 : 2 : 1

 

  1. In a school as many rupees were taken from each teacher, a total of 324 rupees were collected. How many teachers are present in the school ?

(A) 24

(B) 18

(C) 162

(D) 22





  1. When I was born my father’s age was 32 years. I got married at the age of 27 years. Until then 10 years has past. What is the present age of my father ?

(A) 48 years

(B) 59 years

(C) 61 years

(D) 69 years

 

  1. 5/9 times the square of a number is 3125. What is the number ?

(A) 625

(B) 5625

(C) 150

(D) 75

 

  1. In the year 1980 a person received an annual salary of Rs.2305.80. How much did the person earn daily?

(A) Rs. 6.23

(B) Rs. 6.30

(C) Rs. 6.31

(D) None of the above

 

  1. Rs.800 of 1.5 of ²/₅ of 30% is

(A) Rs. 150

(B) Rs. 148

(C) Rs. 144

(D) Rs. 140

 

  1. If all the “vowels” are removed from the alphabetical series, then which is the 10th letter from the beginning of the new alphabetical series ?

(A) Q

(B) P

(C) M

(D) T

 

  1. ¼th part of a stick is kept underwater. How much part (in percent) of the stick is above water ?

(A) 25%

(B) 50%

(C) 75%

(D) 100%

 

  1. Find the largest size of a bamboo that can be placed in a square field of area 100 square meters.

(A) 10 metre

(B) 20 metre

(C) 14.14 metre

(D) 25 metre

 

Video Explanation

 




 

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