*AMCAT Quant Questions*

*AMCAT Quant Questions*

**Q1. The cost price of 10 articles is equal to the selling price of 9 articles. find the profit percent.**

A. 101/9 %

B. 100/9 %

C. 102/9 %

D. 103/9 %

Ans. B

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**Q2. If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:**

A. 55/601

B. 601/55

C. 11/120

D. 120/11

Ans. C

**Q3. Express a speed of 36 kmph in meters per second?**

A. 10 mps

B. 12 mps

C. 14 mps

D. 17 mps

Ans. A

**Q4. Express 25 mps in kmph?**

A. 15 kmph

B. 99 kmph

C. 90 kmph

D. None

Ans. C

**Q5. The ratio of radii of two right circular cylinders is 6:7 and their heights are in the ratio 5:9. The ratio of their respective curved surface areas is**

A. 14:15

B. 17:19

C. 23:29

D. 10:21

Ans. D

**Q6. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?**

A. 4

B. 10

C. 15

D. 16

Ans. D

**Q7. The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?**

A. 15 kmph

B. 12 kmph

C. 10 kmph

D. 5 kmph

Ans. A

**Q8. In how many ways can the 7 letters A,B,C,D,E,F and G be arranged so that C and E never together.**

A. 5040

B. 6480

C. 3600

D. 1440

Ans. C

**Q9. Four different electronic devices make a beep after every 30 minutes, 1 hour, 3/2 hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at:**

A. 12 midnight

B. 3 a.m.

C. 6 a.m.

D. 9 a.m.

Ans. D

**Q10. A car covers a distance of 624 km in 6 ½ hours. Find its speed?**

A. 104 kmph

B. 140 kmph

C. 104 mph

D. 10.4 kmph

Ans. A

**Q11. How many numbers are there in all from 4000 to 4999 (both 4000 and 4999 included) having at least one of their digits repeated?**

A. 356

B. 216

C. 496

D. 504

Ans. C

**Q12. The number of prime factors of (3 x 5)12 (2 x 7)10 (10)25 is:**

A. 47

B. 60

C. 72

D. None of these

Ans. D

**Q13. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?**

A. 3.75 days

B. 4 days

C. 5 days

D. 6 days

Ans. A

**Q14. If 1/2x +1/4x+1/8x=14 Then the value of x is:**

A. 8

B. 12

C. 4

D. 16

Ans. D

**Q15. What least value must be assigned to * so that the number 63576*2 is divisible by 8?**

A. 1

B. 2

C. 3

D. 4

Ans. C

**Q16. Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ?**

A. 1 litre

B. 7 litre

C. 31 litre

D. 41 litre

Ans. C

**Q17. A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?**

A. 10 days

B. 20 days

C. 5 days

D. 4 days

Ans. B

**Q18. Find the value of h[f(1,2,3), g(2,1,-2), h(1,-1,-1)].**

A. 0.5

B. none

C. 1

D. 0

Ans. D

**Q19. Which of the following numbers is exactly divisible by 24 ?**

A. 35718

B. 63810

C. 537804

D. 3125736

Ans. D

**Q20. A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?**

A. 15 days

B. 14 days

C. 13 days

D. 11 days

Ans. D

**Q21. The number nearest to 15207, which is divisible by 467, is:**

A. 14342

B. 15211

C. 14944

D. 15411

Ans. D

**Q22. 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?**

A. 1:2

B. 2:1

C. 2:3

D. 6:5

Ans. D

**Q23. A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?**

A. 56

B. 48

C. 36

D. 58

Ans. B

**Q24. Find the simple interest on Rs. 306.25 from March 3rd to July 27th( In the same year ) at 3.75 percent.**

A. Rs. 4.57

B. Rs. 4.59

C. Rs. 4.53

D. Rs 4.58

Ans. B

**Q25. If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?**

A. 3

B. 1

C. 4

D. 0

Ans. D

**Q26. What number has a 5:1 ratio to the number 10?**

A. 42

B. 50

C. 55

D. 62

Ans. B

**Q27. Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?**

A. 3:8

B. 9:31

C. 8:21

D. 10:27

Ans. B

**Q28. The radius of wheel of axis’s car is 50 cm. What is the distance that the car would cover in 14 revolutions?**

A. 11 m

B. 22 m

C. 33 m

D. 44 m

Ans. D

**Q29. The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:**

A. 8100

B. 17600

C. 44100

D. None of these

Ans. C

**Q30. A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?**

A. Rs.18000

B. Rs.15000

C. Rs.17000

D. Rs.14000

Ans. D

**Q31. P can do a piece of work in 5 days of 8 hours each and Q can do in 4 days of 6 hours each. How long will they take do it working 5 hours a day?**

A. 2 days

B. 3 days

C. 4 days

D. 5 days

Ans. B

**Q32. By selling 15 oranges, a fruit seller gains the selling price of 1 orange. Calculate his gain percentage**

A. 6.14%

B. 7.14%

C. 8%

D. 8.41%

Ans. B

**Q33. (xn+yn) is divisible by (x-y):**

A. for all values of n

B. only for even values of n

C. only for odd values of n

D. for no values of n

Ans. D

**Q34. The greatest number that will divide 63, 138 and 228 so as to leave the same remainder in each case:**

A. 15

B. 20

C. 35

D. 40

Ans. A

**Q35. Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6 and 7 leaves a remainder 2 in each case.**

A. 422

B. 842

C. 12723

D. None of these

Ans. B

**Q36. Dhruv and Naksh drive at the speeds of 36 Kmph and 54 kmph respectively. If Naksh takes 3 hours lesser than what Dhruv takes for the same distance. Then distance is :**

A. 324 km

B. 524 km

C. 320 km

D. 420 km

Ans. A

**Q37. In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?**

A. 22

B. 24

C. 25

D. 23

Ans. A

**Q38. P can do a piece of work in 5 days of 8 hours each and Q can do in 4 days of 6 hours each. How long will they take do it working 5 hours a day?**

A. 2 days

B. 3 days

C. 4 days

D. 5 days

Ans. B

**Q39. What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?**

A. 10

B. 12

C. 14

D. None of these

Ans. A

**Q40. The radius of a circle is increased by 1%. Find how much % does its area increases?**

A. 1.01%

B. 5.01%

C. 3.01%

D. 2.01%

Ans. D

**Q41. Libra had three diamond weighing equal. One of the diamond fell and broke into 4 equal pieces weighing 20gm each. what was the total weight of three diamonds.**

A. 200 gm

B. 280 gm

C. 320 gm

D. 240 gm

Ans. D

**Q42. If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:**

A. 55/601

B. 601/55

C. 11/120

D. 120/11

Ans. C

**Q43. Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. What biggest measure can measure all the different quantities exactly ?**

A. 1 litre

B. 7 litre

C. 31 litre

D. 41 litre

Ans. C

**Q44. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?**

A. 4

B. 10

C. 15

D. 16

Ans. D

**Q45. The probability that a student passes Subject A, B or C is 98%. The probability that he or she passes A is 41%, B is 59%. The probability that he or she passes A and C is 25% and B and C is 20%. The probability that he or she passes all the 3 subjects is 14%. What is the probability that he or she passes subject C?**

A. 48

B. 42

C. 25

D. 29

Ans. D

**Q46. If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:**

A. 3 but not by 9

B. 9

C. 6

D. 27

Ans. B

**Q47. The cost price of 10 articles is equal to the selling price of 9 articles. find the profit percent.**

A. 101/9 %

B. 100/9 %

C. 102/9 %

D. 103/9 %

Ans. B

**Q48. P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is:**

A. 11

B. 121

C. 242

D. None of these

Ans. C

**Q49. What is the ratio of number of years which have imports above the average imports to those which have imports below the average imports?**

A. 5:3

B. 2:6

C. 3:8

D. none

Ans. D

**Q50. Ritu has 3 shirts in shades of red, 4 in yellow shades and 5 in green shades . Three shirts are picked at random.The probability that all of those are in red shades is :**

A. 2c3/13c3

B. 1c3/13c4

C. 3c3/12c3

D. 5c3/10c3

Ans. C

**Q51. Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such that C + n2 is divisible by 5 is:**

A. 4

B. 5

C. 3

D. Does not exist

Ans. D

**Q52. Four bells begin to toll together and then each one at intervals of 6 s, 7 s, 8 s and 9 s respectively. The number of times they will toll together in the next 2 hr is:**

A. 14 times

B. 15 times

C. 13 times

D. 11 times

Ans. A

**Q53. The increase in imports in 1982 was what percent of the imports in 1981?**

A. 25%

B. 5%

C. 125%

D. 80%

Ans. A

**Q54. What is the greatest positive power of 5 that divides 30! exactly?**

A. 5

B. 6

C. 7

D. 8

Ans. C

**Q55. A sum of Rs 468.75 was lent out at simple interest and at the end of 1 year and 8 months, the total amount of Rs 500 is received. find the rate of interest.**

A. 2%

B. 4%

C. 1%

D. 3%

Ans. B

**Q56. The ratio of radii of two right circular cylinders is 6:7 and their heights are in the ratio 5:9. The ratio of their respective curved surface areas is**

A. 14:15

B. 17:19

C. 23:29

D. 10:21

Ans. D

**Q57. 15 , 22, 72, 552 , ?**

A. 4500

B. 4592

C. 4763

D. 8800

Ans. D

**Q58. Sangeeta invested rs.20,000 at 8 % per annual . if the interest is compounded half yearly , then total interest earned by Sangeeta at the end of the year is :**

A. 1432

B. 1632

C. 1332

D. 1122

Ans. B

**Q59. The product of two numbers is 16200. If their LCM is 216, find their HCF.**

A. 75

B. 70

C. 80

D. Data inconsistent

Ans. A

**Q60.Consider the following two curves in the X-Y plane**y=(x3+x2+5)

y=(x2+x+5)

Which of the following statements is true for -2<= x <=2?

A. The two curves do not intersect.

B. The two curves intersect thrice.

C. The two curves intersect twice.

D. The two curves intersect once.

Ans. B

**Q61. A positive integer is selected at random and is divided by 7,what is the probability that the remainder is 1?**

A. 3/7

B. 4/7

C. 1/7

D. 2/7

Ans. C

**Q62. In how many ways can the 7 letters A,B,C,D,E,F and G be arranged so that C and E never together.**

A. 5040

B. 6480

C. 3600

D. 1440

Ans. C

**Q63. There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number.**

A. 5

B. 7

C. 11

D. 17

Ans. A

**Q64. M and N are two distinct natural numbers. HCF and LCM of M and N are K and L respectively. A is also a natural number, which of the following relations is not possible?**

A. K*L=A*

B. L*A=K

D. None of these

Ans. B

**Q65. A mixture of 40 litres of salt and water contains 70% of salt.how much water must be added to decrease the salt percentage to 40%?**

A. 40 litres

B. 30 litres

C. 20 litres

D.2 litres

Ans. B