Quantitative Aptitude Practice Test Questions On - Problems on H.C.F and L.C.M - Online Test Part - 8

Problems on H.C.F and L.C.M Online Test Part - 8

Exam Name - Quantitative Aptitude
Subject Name - Problems on H.C.F and L.C.M
Exam Type - Multiple Choice Questions
No Of Questions - 10

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Question - 1:The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:?

1. 1008
2. 1015
3. 1022
4. 1032

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Answer = B - 1015
Explanation: No Explanation

Question - 2:The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is ?

1. 15 cm
2. 25 cm
3. 35 cm
4. 42 cm

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Answer = C - 35 cm
Explanation: Required length = H.C.F of 700 cm, 385 cm and 1295 cm
‹=› 35 cm.

Question - 3:Which of the following fraction is the largest ? ?

1. 7/8
2. 13/16
3. 31/40
4. 63/80

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Answer = A - 7/8
Explanation: No Explanation

Question - 4:The product of two numbers is 1320 and their H.C.F is 6.The L.C.M of the numbers is ?

1. 220
2. 1314
3. 1326
4. 7920

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Answer = A - 220
Explanation: L.C.M = product of numbers / H.C.F
‹=› 1320 / 6
‹=›220.

Question - 5:The H.C.F. of 210, 385 and 735 is : ?

1. 7
2. 14
3. 21
4. 35

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Answer = D - 35
Explanation: No Explanation

Question - 6:The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is ?

1. 10
2. 46
3. 70
4. 90

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Answer = A - 10
Explanation: Let the numbers be x and (100 - x) .
Then, x (100 - x) = 5 ×495
‹=›x2 - 100x + 2475 = 0.
‹=› (x -55) (x - 45) = 0.
x = 55 or x = 45.
Therefore, the numbers are 45 and 55.
Required difference = (55 - 45) = 10.

Question - 7:The L.C.M. of two number is 45 times their H.F.C. If one of the numbers is 125 and the sum of H.C.F. and L.C.M. is 1150, the other number is : ?

1. 215
2. 220
3. 225
4. 235

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Answer = C - 225
Explanation: No Explanation

Question - 8:The greatest number of four digits which is divisible by 15, 25, 40 and 75 is: ?

1. 9000
2. 9400
3. 9600
4. 9800

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Answer = C - 9600
Explanation: No Explanation

Question - 9:The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is ?

1. 1600
2. 3600
3. 6400
4. 14400

Show/Hide Answer

Answer = B - 3600
Explanation: No Explanation

Question - 10:The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is: ?

1. 74
2. 94
3. 184
4. 364

Show/Hide Answer

Answer = D - 364
Explanation: No Explanation

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