Mathematics - WBPSC Miscellaneous Preliminary Question Paper

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Mathematics – WBPSC Miscellaneous Preliminary Question Paper

Miscellaneous Question Paper – 2023

5. Choose the correct one:

(A) Sum of two irrational numbers is an irrational

(B) Sum of two irrational numbers is always a rational

(D) None of the above

7. What would be the selling price of broiler chicken per kg if he wants to profit 20% when Ramen purchases the broiler Rs.115 per kg?

(A) Rs.132

(B) Rs.136

(D) None of the above

8. Rs.100 is divided in such a way between A and B such that the rupees of A : the rupees of B = 9 : 11. What are the amount of rupees of A and B?

(A) Rs.35 and Rs.65

(B) Rs.45 and Rs.55

(D) Rs.39 and Rs.61

14. What will be the angle between the hands of a clock when the time is at 9:15 a.m.?

(A) 100°

(B) 115°

(D) 180°

31. If the product of three continued proportional numbers is 343. Then what is the median proportional of the first and third?

(A) 7

(B) 13

(D) 9

39. If 12th January of 2024 was Friday, then what will be the 7th June of 2025?

(A) Monday

(B) Thursday

(D) None of the above

43. Choose the correct one (Use division algorithm)

(A) 24 = 2.11 + 2

(B) 24 = 2.10 + 4

(D) 24 = 2.9 + 6

48. Summation of unit place and ten place digits of a number is 9. After interchanging the digits the difference between the earlier and present numbers is 9. What is the number?

(A) 72

(B) 18

(D) 63

49. What is 171 as a natural number?

(A) Prime

(B) Even

(D) Composite

50. How many times does ⁷/₁₁ occur from 1 to 7?

(A) 7

(B) 13

(D) 11

57. Complete the pattern: 5, 7, 8; 6, 8, 12; 7, 9, ?

(A) 21

(B) 16

(D) 9

59. Ratio of two numbers is 5 : 13. If gcd of the numbers is 11, then what are the numbers?

(A) 110, 286

(B) 55, 143

(D) 165, 294

63. The ratio of the collection of story books of Rabi and Madhu is 2 : 3 respectively. After purchasing of 6 new books by Madhu the ratio of their books would be 1 : 3. How many books did they have earlier?

(A) 2, 4

(B) 4, 6

(D) None of the above

66. A medicine wholesaler allows a discount of 20% to his customer and still gains 15% on cost. If the maximum retail price is Rs.550 then what is the purchase price of the medicine?

(A) Rs.440

(B) Rs.374

(D) None of the above

73. Two trains start their journeys with velocities of 60 km/hr and 30 km/hr respectively in opposite directions from two different stations 120 km apart. The train of higher velocity is stopped after 40 min of its departure. When will the other meet the first one?

(A) At 160 minutes

(B) At 130 minutes

(D) None of the above

76. Add up the natural numbers from 1 to 100 and what is the value of the addition?

(A) 5020

(B) 5050

(D) None of the above

78. When will it be double if some capital was invested at the rate of 6¼%?

(A) In 12 years

(B) In 9 years

(D) In 8 years

82. In the fashion of ‘as many as rows as saplings’ it is to be found that 6 saplings are redundant to plant 127 saplings in a garden. How many rows are in the garden?

(A) 13

(B) 15

(D) 7

83. From which least number if one subtracted 1, the difference is divisible by 12, 16 and 28?

(A) 336

(B) 335

(D) 337

84. A rational number is

(A) expressible in a recessing decimal

(B) not expressible in a recessing decimal

(D) None of the above

89. A can complete a work in 9 days when B can complete the same work in 6 days. They can complete the work in 3 days if C joins them. How many days will C take if C is told complete the work alone?

(A) In 15 days

(B) In 12 days

(D) In 18 days

93. How much time shall a train of length 80 meter take to cross a 120 meter long platform when the train assumed the speed of 72 km/hr?

(A) 12 seconds

(B) 18 seconds

(D) 10 seconds

97. Mita and Arun started a business with Rs.700 and Rs.900 respectively. After 4 months when Mita invested Rs.500 more, then Arun withdrew Rs.300. If at the end of the year total profit is Rs.1720 then what are profits of both Mita and Arun?

(A) Rs.1000 and Rs.720

(B) Rs.980 and Rs.740

(D) None of the above

100. Amal and Bimal Start a business with Rs.500 for 9 months and an amount of money for 6 months respectively. If the total profit is of Rs.69 and that of Bimal is of Rs.46. Then what was the investment of Bimal at the starting of the business?

(A) Rs.1,200

(B) Rs.1,500

(D) Rs.1,000

Miscellaneous Question Paper – 2020

76. A train 100 metres long takes 6 seconds to cross a man walking at 5 kmph in a direction opposite to that of the train. The speed of the train is

(A) 40 kmph

(B) 45 kmph

(D) 55 kmph

77. Profit earned by selling an article for Rs.1060 is 20% more than the loss incurred by selling the article for Rs. 950. At what price should the article be sold to earn 20% profit?

(A) Rs. 980

(B) Rs. 1080

(D) Rs. 1200

78. The value of a machine depreciates at the rate of 10% per annum. If its present value is Rs.1,62,000, what was its value 2 years ago?

(A) Rs. 1,60,000

(B) Rs. 2,05,000

(D) None of the above

79. The speed of a boat in still water is 10 kmph. If it can travel 26 km downstream and 14km upstream in the same time, the speed of the stream is

(A) 2 kmph

(B) 2.5 kmph

(D) 4 kmph

80. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

(A) 30 days

(B) 40 days

(D) 70 days

81. If the compound interest on a certain sum of money at 16²⁄₃ % per annum for 3 years is Rs.1270, then the simple interest per annum on the same sum at the same rate and for the same period is

(A) Rs. 1080

(B) Rs. 2100

(D) None of the above

82. In the new budget, the price of kerosene oil rose by 25%. By how much must a person reduce his consumption so that his expenditure on it does not increase?

(A) 25 %

(B) 20 %

(D) 35 %

83.

(A) 6¹/₈

(B) 6³/₄

(D) 7⁵⁄₆

85. A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times itself at the same rate of compound interest in

(A) 7 years

(B) 10 years

(D) 20 years

86. In an examination, a student was asked to find ⁵⁄₁₆ of a number. By mistake, he found ⁵⁄₆ of that number. If his answer was 150 more than the correct answer, then the number is

(A) 288

(B) 188

(D) 278

87. A man invested ⅓, ¼ and remainder of his capital at the rate of 7%, 8% and 10% annual simple interest respectively. If his annual income is Rs.561, the capital invested is

(A) Rs. 5400

(B) Rs. 6000

(D) Rs. 7200

88. The speeds of three cars are in the ratio 5:4:6. The ratio among the times taken by them to travel the same distance is

(A) 5:4:8

(B) 6:4:5

(D) 12:15:10

89. If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3cm, a square with the same area as the original rectangle would result. The perimeter of the original rectangle is

(A) 48 cm

(B) 60 cm

(D) 75 cm

90. The distance between two stations A and B is 330 km. A train starts from A at 8 A.M. and travels towards B at 60 km/h. Another train starts from B at 9 A.M. and travels towards A at 75 km/h. At what time do they meet?

(A) 10 A.M.

(B) 10:30 A.M.

(D) 11:30 A.M.

91. The ratio of the annual incomes of A and B is 5:4 and the ratio of their annual expenditures is 3:2. If at the end of the year, each saves Rs. 1600, then the annual income of A is

(A) Rs. 3400

(B) Rs. 3600

(D) Rs. 4400

92. A batsman scored 98 runs which included 4 boundaries and 6 sixes. What per cent of his total score did he make by running between the wickets?

(A) 47%

(B) 46%

(D) 46 (46/49)%

93. The population of a town increases by 5% annually. If its population in 2001 was 1,10,250, what was it in 1999?

(A) 1,00,000

(B) 1,08,000

(D) 1,20,000

94. A library has an average of 510 visitors on Sundays and an average of 240 visitors on other days of the week. The average number of visitors per day in a month of 30 days beginning with a Sunday is

(A) 250

(B) 276

(D) 285

95. Two numbers are less than a third number by 40% and 55% respectively. How much per cent is the second number less than the first?

(A) 30%

(B) 20%

(D) 25%

96. The cost price of an article is 64% of the marked price. The gain per cent after allowing a discount of 12% is

(A) 37.5%

(B) 48%

(D) 52%

97. The L.C.M. of two numbers is 60. The numbers are in the ratio 3:4. The sum of the numbers is

(A) 25

(B) 35

(D) 45

98.

(A) 0.352

(B) 0.262

(D) 0.252

99. Ajay got married 6 years ago. His present age is ⁵⁄₄ times his age at the time of his marriage. Ajav’s sister was 5 years younger to him at the time of his marriage. The present age of Ajay’s sister is

(A) 25 years

(B) 26 years

(D) 35 years

100. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio A:B.

(A) 2:3

(B) 1:1

(D) 4:3

Video Explanation

Miscellaneous Question Paper – 2018

1. If 75% of the students in a school are boys and the number of girls is 420, the number of boys is

(A) 1176

(B) 1350

(D) 1260

2. If A’s salary is 25% less than that of B, then how much per cent is B’s salary more than that of A?

(A) 44¼ %

(B) 33⅓ %

(D) 55¹⁄₅ %

3. A seller sold an article with 20% loss. If he sold the article with Rs. 200 more he would have a profit of 5%. Cost price of the article was

(A) Rs. 600

(B) Rs. 800

(D) Rs. 1200

4. A dishonest dealer claims to sell his goods at the cost price but uses a false weight of 900gm. for 1Kg. His gain per cent is

(A) 13%

(B) 11¹⁄₉ %

(D) 12¹⁄₉ %

5. In what proportion must water be added to spirit to gain 20% by selling it at the cost price?

(A) 2:5

(B) 1:5

(D) 4:5

6. The simplified value of

(A) 99

(B) 990

(D) 99000

7. A student was asked to divide a number by 3, but instead of dividing it, he multiplied it by 3

and got 29.7. The correct answer was

(A) 9.3

(B) 3.3

(D) 9.9

8. If of cistern is filled in 1 minute, how much more time will be required to fill the rest of it?

(A) 10 sec.

(B) 12 sec.

(D) 20 sec.

9. X can do a piece of work in 20 days and Y can do it in 12 days. Y worked at it for 9 days. In

how many days can X alone finish the remaining work?

(A) 5

(B) 3

(D) 11

10. 12 workers take 4 hours to complete a job. How long would it take 15 workers to complete

the job?

(A) 2 hrs. 40 mins.

(B) 3 hrs. 12 mins.

(D) 3 hrs. 30 mins.

11. A gardener plants 17956 trees in such a way that there are as many rows as there are trees

in a row. The numbers of trees in a row are

(A) 136

(B) 134

(D) 154

12. A man invested of his capital at 7%, at 8% and the remainder at 10%. If his annual income

is Rs. 561, the capital is

(A) Rs. 6600

(B) Rs. 6000

(D) Rs. 7200

13. A train can go from Burdwan to Howrah in 6 hours and another train can go from Howrah to

Burdwan in 4 hours. Both of them start at 7 A.M. They will meet at

(A) 9:15 A.M.

(B) 9:22 A.M.

(C) 9:24 A.M.

(D) 9:25 A.M.

14. Ajoy is much younger to Vijoy as he is older to Tarun. If the total ages of Vijoy and Tarun is

48 years, how old is Ajoy?

(A) 23 years

(B) 21 years

(D) 18 years

15. X has monthly income of Rs. 25000. He spends 10% education, 20% of the remaining income is spent on housing, 15% of the remaining income is deposited in savings schemes. The rest income is spent on food and clothes. How much percentage of income does he spend on food and clothes?

(A) 65%

(B) 61.2%

(D) 55%

16. A train runs for 2 hrs. at the speed of 35 km/h. It runs for 3(½) hrs at the speed of 60 km/h and then runs for 2(½) hrs at the speed of 70 km/h. Find the average speed of the train.

(A) 50 km/h

(B) 55 km/h

(D) 56.87 km/h

17. A reduction of 20% in the price of apples enables a buyer to get one dozen more for Rs. 50.

Find the reduced price per dozen of apples?

(A) Rs.8

(B) Rs.12

(D) None of the above

18. What least number must be added to 15370 to make it a perfect square?

(A) 4

(B) 6

(D) 9

19. If (12 + 22 + 32 +……. + 102) = 385, then the value of (22 + 42 + 62 +……. + 202) is

(A) 770

(B) 1540

(D) 385 X 385

20. If x:y = 2:1, then (x2-y2) : (x2+y2) = ?

(A) 3:5

(B) 5:3

(D) 3:1

21. How many litre of water is to be mixed in 12 litre of milk costing Rs. 10 per litre, so that it can be sold at Rs. 8 per litre?

(A) 3 Litre

(B) 5 Litre

(D) 3.5 Litre

22.

(A) 2

(B) 3

(D) 5

23. A, B and C started a partnership business investing their capital in ½ : 1/3 : 1/5 ratio. After 5 months A withdrew (1/3) of his capital. If profit of the year is Rs. 6740, what should be A’s share of profit?

(A) Rs. 2900

(B) Rs. 3200

(D) Rs. 2800

24. As a result of wrong posting of number of a student I examination as 83 instead of 63,

average number of all students has been increased by 1/2. How many students are there in the

class?

(A) 10

(B) 20

(D) 73

25. A man spends in 4 months what he earns in 3 months. If his annual savings is Rs. 45,000,

his monthly income is

(A) Rs. 15,000

(B) Rs. 18,000

(D) Rs. 22,000

Video Explanation

Miscellaneous Question Paper – 2012 (S-1)

1. The ratio of two number is 4:5 and their L.C.M. is 100. Determine their sum?

(A) 90

(B) 40

(D) 45

7. In an Election for a Panchayat, there were two candidates. A total of 9820 votes were polled. 110 votes were declared invalid. The successful candidate got 6 votes for every 4 votes his opponent had. The margin did the successful candidate win

(A) 1900

(B) 1930

(D) 1950

8. A certain work can be done by A and B in 6 days, by B and C in 12 days. If C, alone can do the same work in 36 days then how long will it take to finish the work by working A, B and C together?

(A) 5(1/7) days

(B) 5(2/7) days

(D) 5(4/7) days

17. It has to pay Rs.225/- as bill when 9 bulbs are used for 30 days using them for 4 hours per day. Find the number of days if 5 bulbs are used for 6 hours per day for the payment of Rs.375/- against the bill.

(A) 60

(B) 55

(D) 45

20. The compound interest on a certain sum for 2 years is Rs.410/- and the simple interest for the same period is Rs.400/-. The rate of interest is

(A) 4%

(B) 5%

(D) 5.1%

25. The compound interest, calculated yearly, on a certain sum of money for the second year is Rs.800/- and for the third year is Rs.864/-. The rate of interest will be

(A) 8%

(B) 10%

(D) 6%

32. At first the income of a person is reduced by 50%. Then his income is increased by 50%. What is the percentage increase or decrease of his income?

(A) Decrease 25%

(B) Increase 25%

(D) No change

50. The difference between the greatest and lowest numbers formed out of the four digits 8, 9, 0, 7 is

(A) 9081

(B) 1809

(D) 2781

54. A, B and C gain Rs.3,500/- from a joint stock business. If the ratio of the capitals of A and B be 5:2 and that of B and C be 3:2, determine A’s share in profit.

(A) Rs.2,100/-

(B) Rs.840/-

(D) Rs.600/-

55. An A.C. machine is priced at Rs.15,000/- and is sold at a discount of 10%. There is a further off-season discount of 5% on the net amount. The customer pay

(A) Rs.14,000/-

(B) Rs.13,000/-

(D) Rs.12,500/-

56. A trader has written 20% excess price on a saree but while selling it, gives a 5% discount. Profit is

(A) 10%

(B) 12%

(D) 13%

57. The simplest value of

(A) 1¹³⁄₁₅

(B) 2¹³⁄₁₅

(D) ¹⁵⁄₁₃

65. At what rate of interest will Rs.360/- amount to Rs.522/- in 5 years?

(A) 8%

(B) 8½%

(D) 9½%

69. At what rate will the interest on Rs.900/- in 4 years be equal to the interest on Rs.720/- in 6 years at 5% per annum ?

(A) 4%

(B) 5%

(D) 6½ %

75. A train 280 meters long is moving at speed of 60 km/hr. The time (second) taken by the train to cross a platform 220 meters long is

(A) 20

(B) 25

(D) 35

78. Some people can do three-seventh of a work in 28 days. To finish the rest of work in 21 days 14 more people were appointed. Determine the number of those people who were appointed initially.

(A) 12

(B) 16

(D) 20

79. What is the greatest presquare number of 7265 ?

(A) 7221

(B) 7224

(D) 7229

84. The greatest number of 33(⅓)% of 4, 2% of 5000, 45% of 200.8, 121(¾) is

(A) 33⅓% of 4

(B) 2% of 5000

(D) 121¾

88. A person weighs 80 Kg. By morning walk, at the beginning of each year, he decreases 5% weight. His weight after 3 years will be:

(A) 68 Kg.

(B) 68.75 Kg.

(C) 68.59 Kg.

(D) 68.50 Kg.

89. In still water the actual speed of a boat is 10 km./hr. and the speed of the river-current is 4 km./hr. What time will it take to cover a distance of 30 km. against the current ?

(A) 2 hrs.

(B) 3 hrs.

(D) 5 hrs.

90. The simplest value of

(0.25)2 + (0.25)1/2 × (0.5)3

(A) .0125

(B) 0.125

(D) 12.5

93. Due to rotten fish a fish trader forces to sell in 10% loss. If the purchase value is Rs.250/-, the selling price will be

(A) Rs.220/-

(B) Rs.230/-

(D) Rs.235/-

94. Each of A and B got 8 wickets for 28 runs. Afterwards A got one wicket for 35 runs and B got 4 wickets for 56 runs. Whose average of getting wicket was better?

(A) A is better

(B) B is better

(D) None of the above

100. In a box there are 378 coins combining 1 rupee, 50 paise and 25 paise coins. The ratio of their values is 13:11:7. Determine the number of 25 paise coins.

(A) 78

(B) 132

(D) 190

Video Explanation

Miscellaneous Question Paper – 2012 (S-2)

3. A swimming pool can be filled by 2 pipes together in 6 hours. If the longer pipe alone takes 5 hours less than the smaller to fill the pool, the time in which the longer pipe alone would fill the pool is

(A) 9 hours

(B) 10 hours

(D) 8.5 hours

5. A man won Rs.60,000/- in a state lottery. 35% of the money was taken by the Government as a tax. He actually receives

(A) Rs.38,000/-

(B) Rs.38,750/-

(D) Rs.38,500/-

14. If X : Y = 4 : 7, the ratio of 21X + 2Y : 7X + 4Y is

(A) 7 : 4

(B) 3 : 8

(D) 1 : 4

18. The ratio of wages of two labours is 4 : 3. If the wages of the first be decreased by Rs.9 and that of the second be increased by Rs.9, the ratio of the wages will be reverse ratio as it was at first. Determine the wages of first labour.

(A) Rs.27

(B) Rs.36

(D) Rs.48

19. The value of

(A) 99000

(B) 9900

(D) 99900

20. The difference of mother’s age and her daughter’s age is 21 years and the ¹⁄₁₂ part of the product of their ages is less than the mother’s age by 18 years. The daughter’s age is

(A) 2 years

(B) 3 years

(D) 1 year

24. What percent of 30 is 27?

(A) 90%

(B) 80%

(D) 85%

25. The time required for Rs.15,625/- to be Rs.17,576/- at 4% per annum compound interest is

(A) 2 years

(B) 3 years

(D) 3.5 years

29. A bag contains Rs.325 in the form of 1 rupee, 25 paisa and 50 paisa coins. The no. of coins are in the ratio 3 : 4 : 5. The number of 1 rupee coin is

(A) 100

(B) 120

(D) 130

34. There are 40 members of boys to girls is 3 : 1. The number of girls be added to the club to

make the ratio of boys to girls 3 : 2 is

(A) 12

(B) 10

(D) 20

37. In an Examination 17% of the candidates fail in Bengali and 18% in English. If 5% fail in

both Bengali and English, the percentage of those who pass in both the subjects is

(A) 50%

(B) 60%

(D) 65%

39. The ratio of the monthly incomes of two persons is 7 : 4 and their expenditures is 5 : 2. Each of them saves Rs.2,000/- per month. Their monthly incomes

(A) Rs.8000/-, Rs.4000/-

(B) Rs.7000/-, Rs.4000/-

(D) Rs.5000/-, Rs.2000/-

44. Rs.145 is divided among A, B, C so that ½ of A’s share, ⅔ of B’s share and ¾ of C’s share are equal. A’s share will be

(A) Rs.60

(B) Rs.70

(D) Rs.75

45. Rs.9,000/- were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs.160 less. The original number of persons

(A) 20

(B) 25

(D) 40

47. A train travels a distance of 300 Km. at a constant speed. If the speed of the train is increased by 5 Km. an hour, the journey would have taken 2 hours less. The speed of the train

will be

(A) 30 Km./h

(B) 25 Km./h

(D) 35 Km./h

52. A sum lent on simple interest becomes Rs.2520/- in 2 years and Rs.2700/- in 5 years. The principal sum is

(A) Rs.2400/-

(B) Rs.2000/-

(D) Rs.2600/-

57. By selling a plot of land for Rs.4,50,000/-, a person losses 10%. To gain 15%, the selling price will be

(A) Rs.5,00,000/-

(B) Rs.5.25,000/-

(D) Rs.5,75,000/-

68. The value of a car is Rs.3,00,000/- at present. If the value depreciates 10% in the first year, 8% in the 2nd year, the depreciated value after 3 years will be

(A) Rs.2,00,000/-

(B) Rs.2,35,000/-

(D) Rs.2,35,980/-

70. A man donated 4% of his income to a charity and deposited 10% of the rest in a bank. He now has Rs.10,800/-. His income is

(A) Rs.12,500/-

(B) Rs.18,500/-

(D) Rs.10,900/-

85. Ram and Shyam together can complete a work in 6 days. If each worked alone, it would take Shyam 5 days less than Ram. Ram can complete the work alone in

(A) 10 days

(B) 15 days

(D) 8 days

88. The outside dimensions of a bordered table cloth are 16 cm and 14 cm. If the area of the table cloth excluding the border is 120 cm2, the width of the border is

(A) 3 cm

(B) 2 cm

(D) 2.5 cm

90. 33 bighas of land can be ploughed by 15 ploughs in 11 days. In how days 22 bighas of land will be ploughed by 10 ploughs?

(A) 10

(B) 11

(D) 8

92. The cost price of 15 articles is equal to the selling price of 12 articles. The profit percent is

(A) 20%

(B) 15%

(D) 25%

96. The difference between the simple and compound interest on a certain sum of money for 3 years at 5% per annum is Rs.61/-. The sum is

(A) Rs.8,000/-

(B) Rs.9,000/-

(D) Rs.9,100/-

98. A man sells two watches at Rs.99/- each. On one he gains 10% and on the other he losses 10%. His loss or gain percent on the whole transaction is

(A) Loss 1%

(B) Loss 5%

(D) Profit 5%

Video Explanation

Miscellaneous Question Paper – 2011

2. 10 men and 8 boys can do the same work as 4 men and 20 boys can do in 8 days. Then how many men can do the work of 16 boys?

(A) 8

(B) 14

(D) 12

5. The least integer by which 3969 be multiplied to make it a perfect cube is

(A) 21

(B) 7

(D) 9

12. The expenses on rice, fish and oil of a family are in the ratio of 12 : 17: 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of the family are increased by

(A) 14(1/8)%

(B) 7(1/8)%

(D) 56(1/8)%

14. Ratio of A and B is 2:3 and that of B and C is 4:3, then ratio of A:B:C is

(A) 8:12:15

(B) 6:9:8

(D) 8:16:9

15. 3 bells ring together. After that they began to ring at an interval of 1.2 minutes, 1.6 minutes and 2.7 minutes respectively. Find the number of times the first bell will ring from beginning to the time when they ring once again together.

(A) 36

(B) 16

(D) 32

22. A starts from a place P to go to a place Q. At the same time B starts from Q to P. After meeting they arrive at their destinations in 4 and 9 hours respectively. The ratio of the speed of A to that of B is

(A) 4 : 9

(B) 9 : 4

(D) 3 : 2

23. The value of 5.3˙ + 3.2˙5˙ + 12.1˙

(A) 20.069

(B) 20.65

(D) 20.169

24. Two pipes A and B can fill a tank in 16 minutes and 24 minutes respectively. By opening two pipes together, after how much time, the pipe A should be closed so that tank can be filled in 12 minutes altogether?

(A) 4 minutes

(B) 5 minutes

(D) 8 minutes

29. A train takes 18 seconds to pass completely through a station 165 meters long and 15 seconds to pass completely through another station 120 meters long. The speed of the train is

(A) 45 km/hr

(B) 54 km/hr

(D) 60 km/hr

35. A trader marked up his goods up by 50%. What percent of discount he can allow so that there is no gain no loss?

(A) 50%

(B) 40%

(D) 33(1/3)%

36. The number, the square of which is the difference between the squares of 53.04 and 48.96 is

(A) 20.4

(B) 24.00

(D) 15.36

37. Today is Barun’s birthday. After 1 year, he will be twice as old as he was 12 years ago. How old is Barun today?

(A) 20 years

(B) 22 years

(D) 27 years

38. An object travels the first 300 km of its journey of 500 km in 6 hrs. And the rest 200 km in 10 hrs. Then its average speed is

(A) 25.5 Kmph

(B) 31.25 Kmph

(D) 37.75 Kmph

42. The average of 7 consecutive even numbers is 36. Then sum of second and sixth numbers is

(A) 74

(B) 72

(D) 78

44. A and B start a partnership business. Ratio of their investments is 1/3:¼. They agreed to pay 30% of the total profit to B for managerial work and rest will be distributed as per their share. If at the end of a year, total profit is Rs. 20000, find share of profit of A?

(A) Rs. 7500

(B) Rs. 7200

(D) Rs. 8000

45. A dishonest tradesman marks his goods at an advance of 5% on the cost price, but uses a fraudulent balance whose beam is horizontal when the weight in one scale is one-fifteenth more than the weight in the other. His actual gain per cent is

(A) 10%

(B) 15%

(D) 11%

55. If 10 men or 15 women can complete a work in 12 days, then 6 men and 11 women will complete the same work in

(A) 9 days

(B) 12 days

(D) 15 days

62. In an examination, having 273 candidates, the ratio of successful and unsuccessful candidates is 11:2. If 3 more candidates become successful, find the new ratio of successful and unsuccessful candidates.

(A) 6:1

(B) 13:2

(D) 9:2

66. A sum of money amounts to Rs. 6900 in 3 years and Rs. 7800 in 6 years. The rate of interest is

(A) 7%

(B) 6%

(D) 5%

71. The average of a number and its square is five times of the number. The number is

(A) 5

(B) 9

(D) 7

74. The speed of a train is 30% more than that of an express bus. What is the time taken by the train to cover a distance which is covered by the bus in 4 hours 20 minutes?

(A) 3 hours 20 minutes

(B) 3 hours 10 minutes

(D) 3 hours 30 minutes

75. If 2/3 of A=75% of B=1.5 of C, find A:B:C

(A) 9:8:5

(B) 18:16:11

(D) 18:16:15

77. The least number between 300 and 400 which when divided by 6, 9 and 15 leaves a remainder 3 in each case, is

(A) 360

(B) 357

(D) 343

96. By selling an article if there is a loss of 12(½)%, then ratio of selling price and cost price is?

(A) 5: 7

(B) 7: 8

(D) 8: 7

100. The ratio of velocity of the minute hand and second hand of a clock is

(A) 1: 60

(B) 1: 720

(D) None of the above

Video Explanation

Miscellaneous Question Paper – 2010

4. Three friends had dinner at a restaurant. When the bill was received Ramesh paid 2/3 as much as Suresh paid and Suresh paid ½ as much as Dipesh paid. What fraction of the bill did Suresh pay?

(A) 3/8

(B) 3/11

(D) 1/3

17. A batsman makes a score of 98 runs in the 19th innings and thus increases his average by 4. The average of his run after 19th innings is

(A) 22

(B) 24

(D) 26

20. The 1st January of 2000 was a Saturday. The first day of March, 2000 was

(A) Tuesday

(B) Wednesday

(D) Monday

22. The cost of white-washing the walls of a room 20 m long and 8 m high at Rs. 5 per sq. metre is Rs. 7200. The cost of carpeting the room at Rs. 27.50 per sq metre is

(A) Rs. 5500

(B) Rs. 2750

(D) Rs. 5400

28. The smallest number of four digits which on division by 4, 6, 10 and 15 leaves a remainder 2 in each case is

(A) 1020

(B) 1022

(D) 1040

29. A and B can complete a piece of work in 18 days. They worked together for 12 days and then A left. B alone finished the work in 15 days. If Rs.1500 be paid for the work then A’s share is

(A) Rs. 750

(B) Rs. 800

(D) Rs. 900

30. A thief seeing a policeman at a distance of 150 metres starts running at 10 km/hr and the policeman gives immediate chase at 12 km/hr. When the thief is over-taken the thief has travelled a distance of

(A) 750 m

(B) 900 m

(D) 1 km

31. The present age of Kamal is 47 years and that of his wife is 38 years. When they got married Kamal was exactly one and a half times as old as his wife. How many years ago did they get married?

(A) 12 years

(B) 15 years

(D) 20 years

32. A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on the fourth day?

(A) 30 minutes past 11 p.m.

(B) 59(1/3) minutes past 11 p.m.

(D) 11 p.m.

34. The monthly salaries of A and B are as 2:3. If each receives an increment of Rs. 300 per month, the above ratio becomes 13:19. The salary of A is

(A) Rs. 1800

(B) Rs. 5400

(D) Rs. 3600

35. In a certain series, each number except the first and second is obtained by adding the previous two numbers. If the first number is 2 and sixth is 26, then the seventh number is

(A) 52

(B) 46

(D) 40

36. Two kinds of tea cost Rs. 240 per kg and Rs. 360 per kg. They are mixed in the ratio 5:3. At what rate the mixture of tea will be sold in order to gain 20% on the whole?

(A) Rs. 300/kg

(B) Rs. 350/kg

(D) Rs. 342/kg

38. In an election to the Legislative Assembly 4% of the voters of the constituency refused to vote and of the two candidates the one who was supported by 52% of the voters of the whole constituency was elected by a majority of 500. The number of voters who actually voted is

(A) 5500

(B) 5000

(D) 6000

39. A train travels from Kolkata to Asansol at the rate of 60 km/hr and returns from Asansol to Kolkata at the rate of 40 km/hr. The average rate for the whole journey is

(A) 50 km/hr

(B) 48 km/hr

(D) 45 km/hr

41. One-third of a tower is painted black. (5/11)th of the remaining part is painted red and the rest is painted white. If the white part measures 60 ft, the total height of the tower is

(A) 100 feet

(B) 154 feet

(D) 110 feet

47. A pineapple costs Rs.7 each. A watermelon costs Rs.5 each. A man spends Rs.38 on these fruits. The number of pineapples purchased is

(A) 2

(B) 3

(D) 5

54. A certain number of men spent Rs. 7569, each spending as many rupees as there were men. The number of men is

(A) 83

(B) 87

(D) 81

56. The sum of eleven consecutive odd integers is 253. The smallest of these integers is

(A) 11

(B) 15

(D) 13

61. The difference of the greatest and the least amongst ¼, 1/3, 2/5, 3/7 is

(A) 5/28

(B) 3/20

(D) 1/35

64. A cistern can be filled by a pipe in 2 hours and it can be emptied by a waste-pipe in 3 hours. If the pipes are opened for one hour each alternatively, the tank will be full in

(A) 6 hours

(B) 2(5/12) hours

(D) 5 hours

65. At what time between 10 and 11 o’clock will the hands of a watch be opposite to each other?

(A) 21(9/11) min. past 10

(B) 20 min. past 10

(D) 20(9/11) min. past 10

67. A loss of 19% gets converted into a profit of 17% by increasing the selling price by Rs. 162. The cost price of the article is

(A) Rs. 540

(B) Rs. 600

(D) Rs. 360

79. In a club 30% of the members can speak in English, 40% can speak in Hindi. If 10% of the members can speak both in English and Hindi and 48 members can speak neither in English nor in Hindi, the total number of members in the club is

(A) 80

(B) 120

(D) 160

80. After measuring 200 metres of a rope it was discovered that the measuring metre was 3 centimetre too long. The true length measured is

(A) 260 meters

(B) 200 meters 6 cm

(D) 206 meters

83. The value of

(A) 1

(B) 2

(D) 2/3

Video Explanation

Miscellaneous Question Paper – 2009

7. Cost price of sugar is decreased by 20%. Then what will be the amount of sugar one get more with the money which was the price of 20 kg sugar, before ?

(A) 16 kg.

(B) 10 kg.

(D) 5 kg.

8. Weight of a pitcher fully with water is 16.5 kg. Weight of the same pitcher is 7.5 kg. When ⅖ part of it is filled with water, what will be weight when its ½ part is filled up ?

(A) 9 kg.

(B) 10 kg.

(D) 15 kg.

9. The sum of ages of three person is 171 yrs. 8 yrs ago ratio of their ages was 8 : 7 : 6 . Find out their present age.

(A) 68 yrs, 67 yrs, 35 yrs.

(B) 64 yrs, 57 yrs, 50 yrs.

(D) 75 yrs, 82 yrs, 90 yrs.

10. Find out a number so that ratio of ¾ with the number is equal to ratio of the number with ²⁷⁄₆₄

(A) ⁹⁄₁₅

(B) ⁹⁄₁₆

(D) ⁵⁄₁₆

11. Find out the last digit of the number (137)⁷³¹

(A) 3

(B) 5

(D) 2

17. Find out the ratio in which Darjeeling tea costing Rs.32 per kg. and Assam tea costing Rs.25 per kg. are mixed and then the mixture is sold in Rs.32.40 per kg. at a profit of 20%.

(A) 2 : 5

(B) 3 : 4

(D) None of the above

18. Average of first four numbers among five numbers is 26 and that last of four numbers is 25. Find out the difference between the first and fifth number.

(A) 5

(B) 4

(D) 7

19. The denominator of a fraction which is equal to 2/4(⅖) is 7. Find the numerator:

(A) 11

(B) 22

(D) ⁵⁄₁₁

20. Length of a page of your exercise book is 15 cm and breadth of the same is 12 cm. There is 2 cm. broad margin in each side of the page. Find out the area of the page where you write.

(A) 100 sq.cm.

(B) 92 sq.cm.

(D) 88 sq.cm.

21. Area of a square ‘P’ is ¹²¹⁄₂₅₆ part of the area of square ‘Q’. Length of the square ‘P’ will be a part of the length of the side of square ‘Q’ . Find out the part.

(A) ¹¹⁄₁₃

(B) ¹¹⁄₁₆

(D) ¹¹⁄₁₈

37. The ratio of length and breadth of a rectangular space is 3 :1. Its area is 192 Sq. meter. Find out its length and breadth.

(A) 24 meter, 8 meter

(B) 30 meter, 15 meter

(D) 50 meter, 10 meter

38. There is a drum containing 5 Kl. 432 lit. mustard oil, and another drum containing 5 Kl. 917 lit. coconut oil. A number of tins of same size are fully filled up with two types of oils separately. Find out the possible largest volume of each tin ?

(Ans- 97 lit.)

(A) 100 lit.

(B) 120 lit.

(D) None of the above

39. Weight of 1 litre water is 1 Kg. Find out the volume of 0.1 gm. water in cubic millimeter ?

(A) 300 cubic ml.m.

(B) 500 cubic ml.m.

(D) 100 cubic ml.m.

40. Difference between a simple fraction and its reciprocal 1(¹⁄₁₅). Find out the fraction.

(A) ⅜

(B) ⅝

(D) ⅗

41. Product of two numbers is ¹⁴⁄₁₅ and their quotient is ³⁵⁄₂₄ . Find out the numbers.

(A) ¹⁄₁₅, ¹²⁄₁₉

(B) ⁵⁄₇, ³⁄₁₀

(D) ⅗, ⁹⁄₂₁

57. The ratio of two numbers is 2 : 3 and their H.C.F is 10. Find out their product.

(A) 600

(B) 300

(D) None of the above

58. The remainder in each case will be 10 when a greatest five digit number is divided by 16, 24, 30 & 36.

(A) 99956

(B) 97930

(D) 98665

59. Two person start from their destination from the same place at the same time with respective velocities 3.75 km/hr and 3 km/hr. First person has reached their destination 30 minutes before the 2nd person. Find out the distance of their destination.

(A) 9.5 km.

(B) 7.5 km.

(D) 5.9 km.

60. In a flood-relief camp foodgrains were stored for 70 days for 1000 refugees. After 10 days, more 200 refugees joined the camp. How many days will they spend with the stored foodgrains ?

(A) 30 days

(B) 50 days

(D) 40 days

61. Find out the greater common factors of the fractions ¹⁵⁄₁₆, ²⁵⁄₃₆, ¹³⁄₃₂

(A) ¹⁄₂₈₈, ¹⁄₅₇₆, ¹⁄₈₆₄

(B) ¹⁄₅₇₆, ¹⁄₂₄₄, ¹⁄₃₈₉

(D) ¹⁄₇₀₂, ¹⁄₃₉₄, ¹⁄₆₁₃

77. In an examination, 80% examinees passed in English, 70% passed in Maths, and 150 examinees passed in both the subjects. If all the examinees passed at least in one subject, then find out the total number of examinees :

(A) 300

(B) 500

(D) 600

78. A man sends 0.15 part of his monthly income for study of his son, 0.8 part of the rest income for other expenditure of his family and then he makes his savings with the rest part. If his savings in a month is Rs.425, then find out his monthly income.

(A) Rs.2,700

(B) Rs.2,500

(D) Rs.2,600

79.

(A) 398

(B) 394

(D) 504

80. A train passes 45 km. in an hour. The train passed away two posts consecutively within 10 seconds. Find out the distance between the two posts .

(A) 170 m.

(B) 250 m.

(D) 125 m.

81. A boatman started for a 36 km. distant place and came back again. The time of return was 1 hr. more than the time of reaching. Speed of current was 3 km/hr. Then find out the speed of the boat in still water.

(A) 15 km/hr

(B) 16 km/hr

(D) 17 km/hr

Video Explanation

Miscellaneous Question Paper – 2008

12. The value of

(A) 2

(B) ³⁄₂

(D) 3⁶⁄₁₃

15. The present ages of three persons are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

(A) 20, 35, 45

(B) 8, 20, 28

(D) 20, 36, 46

16. A vendor losses the selling price of 4 oranges on selling 36 oranges. Her loss percent is :

(A) 10%

(B) 11⅑%

(D) None of the above

19. X got 30% concession on the labelled price of an article and sold it for Rs.8750 with 25% profit on the price she bought. What was the labelled price ?

(A) Rs.16,000

(B) Rs.12,000

(D) None of the above

23. In a school 10% of the boys are same in number as ¼ th of the girls. What is the ratio of boys to girls in that school ?

(A) 3 : 2

(B) 5 : 2

(D) 4 : 3

26. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in :

(A) 6 hrs.

(B) 6⅔ hrs

(D) 7 hrs

28. A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds in terms of ratio of their speed.

(A) Dog’s speed : hare’s speed = 15 : 16

(B) Dog’s speed : hare’s speed = 16 : 15

(D) Dog’s speed : hare’s speed = 5 : 3

35. The ratio of the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is :

(A) 70 km/hr

(B) 75 km/hr

(D) 87.5 km/hr

36. How long does a train 110 metres long running at the speed of 72 km/hr take to cross a bridge 132 metres in length ?

(A) 9.8 sec

(B) 12.1 sec

(D) 14.3 sec

41. In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

(A) 29 years

(B) 19 years

(D) 39 years

43. In what ratio must water be mixed with milk costing Rs.12 per litre to obtain a mixture worth Rs.8 per litre ?

(A) 1 : 2

(B) 2 : 1

(D) 3 : 2

46. A train starts with the speed of 70 km/hr with its speed increasing every two hours by 10 km/hr. In how many hours will it cover 345 kms ?

(A) 2¼ hrs

(B) 4 hrs 5 mins

(D) None of above

49. The diagonal of a square is 4√2 cm. The diagonal of another square whose area is double that of the first square, is :

(A) 8 cm

(B) 8√2 cm

(D) 16 cm

53. The difference between simple and compound interest @10% per annum on a sum of Rs.1000 after 4 years is :

(A) Rs.31

(B) Rs.32.10

(D) Rs.64.10

54. The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm² . The volume of the cuboid is :

(A) 24 cm³

(B) 48 cm³

(D) 120 cm³

55. The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm × 6 cm × 2 cm is :

(A) 2√13 cm.

(B) 2√14 cm.

(D) 10√2 cm.

58. At what time between 9 and 10 o’clock will the hands of a watch be together ?

(A) 45 min past 9

(B) 50 min past 9

(D) 48²⁄₁₁ min past 9

66. If ⅗ th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it ?

(A) 40 sec

(B) 30 sec

(D) 24 sec

68. A number was divided successively in order by 4, 5 and 6. The remainders were respectively 2, 3 and 4. The number is :

(A) 214

(B) 476

(D) 1908

72. A two digit number is such that the product of the digits is 8. When 18 is added to the number, then the number is reversed. The number is

(A) 18

(B) 42

(D) 24

74. In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining food last now ?

(A) 180

(B) 285

(D) 28.5

75. The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditure is 3 : 2 If at the end of each year, each saves Rs.1600, then the income of A is :

(A) Rs.3400

(B) Rs.3600

(D) Rs.4400

84. Half of 1 percent is equal to :

(A) 0.005

(B) 0.05

(D) 0.2

85. What is the smallest number by which 3600 be divided to make it a perfect cube ?

(A) 9

(B) 450

(D) 300

Video Explanation

Miscellaneous Question Paper – 2007

4. The length of a rectangular field is increased by 10% and breadth is decreased by 10%. The net change in area is

(A) No change

(B) 1% increase

(D) 1% decrease

7. In an examination, 58% passed in English and 68% in Mathematics while 17% failed in both the subjects. If 215 candidates passed in both the subjects, then number of candidate is

(A) 450

(B) 475

(D) 500

9. Pipes A and B can fill an empty tank separately in 3 hrs. and 4 hrs. respectively, While pipe C can empty it in 2 hrs. At 6.00 A.M., tank was empty and 3 pipes are opened. The tank will be filled up at

(A) 12.00 noon

(B) 6.00 P.M.

(D) 11.00 A.M.

12. Out of 3 positive integers, ratio of the first two numbers is 8 : 9 and that of the last two numbers is 3 : 4. If 3rd number is 36, the sum of the first two numbers is

(A) 102

(B) 51

(D) 53

14. First Rs.8000 of annual income is tax free and income-tax is 1% beyond this. An employee paid Rs.160 as income-tax in a year. His monthly income is

(A) Rs.1500

(B) Rs.2500

(D) Rs.2000

17. Weight of a bucket, when it is half full of water is 8 kg while. When it is ⅕th full of water, its weight is 5 kg. When it is full of water its weight is

(A) 13 kg

(B) 15 kg

(D) 12 kg

19. In the same rate, the simple interest of Rs.300 in 4 years and that of Rs. 600 in 3 years together is Rs.150. The rate is

(A) 4%

(B) 5%

(D) 8%

22. In a division problem, quotient and remainder are x and y respectively. If divisor is 7 more than x+y , the dividend is

(A) x²+7xy+y

(B) x²+7x+xy+y

(D) x²+7xy+x+y

24. A car is moving 5 m in t secs. Its speed in km/hr is

(A) 18/t

(B) 3/10t

(D) 3t/10

27. If 30% of P = 40 % of Q, then Q is equal to

(A) 75% of P

(B) 80% of P

(D) 55% of P

29. 1 is subtracted from the square of an odd integer. The greatest integer, by which the result is always divisible is

(A) 2

(B) 4

(D) 8

32. A train crosses an electric pole and a bridge of length 264 m in 8 secs and 20 secs respectively. The length of the train is

(A) 176 m

(B) 172 m

(D) 180 m

34. A boy saves 50% more money than the previous month. If in two consecutive months, his total saving is Rs.80, his saving in first month is

(A) Rs.24

(B) Rs.32

(D) Rs.36

37. An angle is drawn 89°33′ instead of 90°. The error is

(A) 2%

(B) 1%

(D) ½%

39. The digit in the unit position of the sum 104² + 105² + 106² is

(A) 5

(B) 7

(D) 2

44. Three bells ring together and after that they ring at an intervals of 3⅓ secs, 2⅖ secs, and 2²⁄₇ secs, respectively. They again will ring together after.

(A) 48 secs

(B) 1 min 12 secs

(D) 4 mins

49. The circumference of wheel of a car is ‘d’ m. If it completes 100 revolutions per minute, the velocity of the car is

(A) 60 d km/hr

(B) 16 d km/hr

(D) 3 d km/hr

54. A car takes 2½ hours more to reach its destination. If moves ⅗ times of its normal speed. The time to reach the destination with normal speed is

(A) 3¾ hrs.

(B) 3½ hrs.

(D) 4¼ hrs.

57. The ratio of the distance covered to the displacement of a particle moves along a semi-circle of radius ‘r’ is

(A) π/4

(B) π/2

(D) π

59. A and B do a job in 9 and 18 days respectively. They start the job together but A left 3 days before the completion of the job. The job is completed in

(A) 7 days

(B) 8 days

(D) 10 days

64. 4 oranges are sold at cost price of 5 oranges. The percentage of profit is

(A) 20%

(B) 25%

(D) 17½%

69. Pure milk and water is mixed in the ratio 5 : 1. If cost of pure milk is Rs.12.00 per Iitre, the cost of 1 litre of such mixed milk is

(A) Rs.10.00

(B) Rs.10.50

(D) Rs.11.00

79. The ratio of two numbers is 2 : 3, while their LCM is 54. Their sum is :

(A) 45

(B) 48

(D) 36

84. The present ages of father and his son are 18x and 2x² respectively. When father was 3x² years old, age of son was x+4 . Present age of father is

(A) 58

(B) 68

(D) 72

89. A fraction is multiplied by itself and then divided by its reciprocal. The result becomes ⁵¹²⁄₂₇. The original fraction is

(A) ⁷⁄₃

(B) ³⁄₇

(D) ¾