ICDS – Prelim Question Paper – 2019
1. A watch seller fixed his marked price fixing 25% profit on cost price. But he sold the watch at 20% rebate. What was his gain or loss?
(A) 2% gain
(B) 2% loss
(C) 2.5% gain
(D) No loss or gain
2. An article was sold at a gain of 8%. Had it been sold for Rs.50 more, there would have been a profit of 12%. Find the cost price of the article.
(A) Rs.1150
(B) Rs.1200
(C) Rs.1250
(D) Rs.1300
3. A completes ⁷⁄₁₀ of a work in 14 days. Then he takes the help of B and completes the remaining work in 2 days more. In how many days can B alone complete the work?
(A) 16 days
(B) 14 days
(C) 12 days
(D) 10 days
7. If the number of works performed by p men in p days is p, then find the number of days in which q men can perform q works.
(A) p days
(B) q days
(C) p/q days
(D) q/p days
9. Which of the following statements is true?
(A) √7+√2 > √6+√3
(B) √11+√3 > √8+√6
(C) √5+√3 > √6+√2
(D) √15+√5 > √14+√6
12. A wall clock needs 3 seconds to strike 6 bells. Determine the time it requires to strike 9 bells.
(A) 6 seconds
(B) 5.8 seconds
(C) 5 seconds
(D) 4.8 seconds
13. Rahim travelled a distance of 45 kms in 4 hours. He travelled partly on foot at the rate of 8 kms per hour and the rest on bicycle at 16 kms per hour. How much distance did he travel on bicycle?
(A) 26 kms.
(B) 23 kms.
(C) 22 kms.
(D) 19 kms.
14. The ratio of speeds of the minute-hand and the hour-hand of a clock is
(A) 1 : 3
(B) 1 : 4
(C) 4 : 3
(D) 12 : 1
23. All surfaces of a cube are coloured. If a number of smaller cubes are taken out from it, each side ¼ the size of the original cube’s side, indicate the number of cubes with only one side painted.
(A) 60
(B) 32
(C) 24
(D) 16
24. The simplest value of 1000-999.9˙ will be
(A) 1
(B) 0.1
(C) 0.01
(D) 0
27. The length, breadth and height of a room are respectively 8′, 6′ and (2√11)′. What is the length of the longest iron rod that can be kept inside the room?
(A) (12√3)′
(B) (11√3)′
(C) 12′
(D) 11′
28. The sum of the squares of two consecutive even numbers is 5620. The sum of the numbers is
(A) 100
(B) 102
(C) 104
(D) 106
35. If 1 is added to the numerator of a fraction, it becomes ½ and if 1 is subtracted from the denominator of it, it becomes ⅓. Find the fraction.
(A) ⅕
(B) ¼
(C) ⅓
(D) ½
38. The ratio of Assam tea and Darjeeling tea in a special blend is 3 : 4. Then determine the quantity of the mixture of tea in which 1 kg of Assam tea is present.
(A) 1.2 kg
(B) 12 kg
(C) 1 kg
(D) ⁷⁄₃ kg
39. In a club, every member contributed as many 10 rupees as the number of members to raise the subscription of amount Rs.4000. How many members are there in that club?
(A) 40
(B) 30
(C) 20
(D) 10
41. Ayan working for 2 days and Sayan working for 3 days complete ⅗ of a work. Again Ayan working for 3 days and Sayan working for 4 days complete ¹³⁄₁₅ of the work. How many more days Sayan will take than Ayan to complete the work, if they work separately?
(A) 5 days
(B) 10 days
(C) 15 days
(D) 20 days
45. A goods train of length 360 metres is moving with speed 30 km/hr. How much time will the train take to cross a platform of length 140 metres?
(A) 0.28 minute
(B) 0.72 minute
(C) 1 minute
(D) 1.5 minute
46. In two acid solutions, the quantities of acids are respectively 40% and 60%. In what ratio are the solutions to be mixed so that the quantity of acid in the new mixture will be 50%?
(A) 1 : 2
(B) 1 : 1
(C) 1 : 3
(D) 2 : 3
49. Simplify :
(A) 0
(B) 2√2
(C) 3√5
(D) √7
52. The distance between two places A and B is 25 kms. Sayak Started walking from A towards B at 6 am with the speed of 5 km/hr. He takes rest for 5 minutes after walking every distance measuring 5 kms. When will Sayak reach B?
(A) At 11 a.m.
(B) At 10 mins. past 11 a.m.
(C) At 20 mins. past 11 a.m.
(D) At 25 mins. past 11 a.m.
53. If A : B = 3 : 4 and B : C = 6 : 5, then determine the value of A : C.
(A) 3 : 4
(B) 6 : 5
(C) 9 : 10
(D) 1 : 2
55. In an examination, a student scores 4 marks for every correct answer and losses 1 mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempted correctly is
(A) 35
(B) 38
(C) 40
(D) 42
56. A photo of size 2″ × 3″ is uniformly enlarged so as to increase its area by 9 times. What is the breadth of the enlarged figure?
(A) 9″
(B) 4″
(C) 6″
(D) 12″
57. The present age of a father is thrice that of his daughter. 15 years ago, the age of the father was 6 times that of his son. If the daughter is 4 years than the son, determine the present age of the father.
(A) 51 years
(B) 53 years
(C) 55 years
(D) 56 years
60. The ratio of two numbers is 5 : 7 and their L.C.M. is 385. Determine the G.C.D. of the numbers.
(A) 1
(B) 5
(C) 7
(D) 11
61. If x : y : z = 3 : 2 : 1, then find the value of
(A) 1
(B) 0
(C) -1
(D) ½
65. There is a road of 2 metres broad around a rectangular garden whose length is 25 metres and breadth is 17 metres. The area of the road is
(A) 184 sq.metres.
(B) 88 sq.metres.
(C) 34 sq.metres.
(D) 50 sq.metres.
67. Find the simplest value of
(A) 31²⁄₇
(B) 29²⁄₇
(C) ¹⁄₂₀₃
(D) ⅐
71. P is any point inside the rectangle ABCD. Then which one of the following is correct?
(A) PA + PC = PB + PD
(B) PA² + PC² = PB² + PD²
(C) PA² + PB² = PD² + PC²
(D) PA² + PD² = PB² + PC²
72. In the series 7, 14, 28, …, what will be the 10th term?
(A) 1792
(B) 2456
(C) 3584
(D) 4096
74. Find the ratio of ’20 kms. per hour’ and ’20 metres per second’.
(A) 7 : 9
(B) 5 : 7
(C) 5 : 18
(D) 1 : 1
75. A boat covers a distance of 1 km in 6 minutes in downstream and a distance of 6 km in 1 hour in upstream. Determine the speed of the stream.
(A) 182 kms/hr.
(B) 188 kms/hr.
(C) 8 kms/hr.
(D) 2 kms/hr.
76. In an examination, 25% of the candidates pass in Mathematics and 20% of the candidates pass in English. If 10% of the candidates pass in both the subjects, then determine the percentage of the candidates who fail in both the subjects.
(A) 55
(B) 65
(C) 70
(D) 75
79. A and B together complete a work in 2 days. The time taken by B to complete the work individually is 3 days more than that taken by A. In how many days B alone can complete the work?
(A) 3 days
(B) 4 days
(C) 5 days
(D) 6 days
81. Simplify:
(A) 27
(B) 23
(C) ¹⁹⁄₂₃
(D) ¹⁹⁄₂₇
82. Find the smallest positive number to be subtracted from the number 9545 so that the result of subtraction is a perfect square.
(A) 59
(B) 106
(C) 136
(D) 89
83. The simple interest and the compound interest of a capital are respectively Rs.1440 and Rs.1483.20 in 2 years. Determine the rate of interest.
(A) 6%
(B) 5%
(C) 6.5%
(D) 9%
86. If the areas of a square and a circle are equal, then compare their circumferences.
(A) 2 : √π
(B) π : 2
(C) 1 : 1
(D) π : √2
88. Two pipes fitted in a tank separately fills it with water in 6 hours and 12 hours respectively. In how much time will those two pipes together fill the tank?
(A) 3 hours
(B) 4 hours
(C) 5 hours
(D) ¹¹⁄₂ hours
91. The income of Kabita exceeds that of Sabita by 10%. How much less is the income of Sabita than that of Kabita?
(A) 9%
(B) 9¹⁄₁₁%
(C) 10
(D) 10¹⁄₁₁%
93. A number when divided by 5279421 leaves the remainder 637. What will be the remainder when that number is divided by 7?
(A) 5
(B) 3
(C) 1
(D) 0