Quantitative Aptitude Multiple Choice Questions On - Problems on H.C.F and L.C.M - Online Test Part - 9

Problems on H.C.F and L.C.M Online Test Part - 9

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 least number which when divided by 5, 6, 8, 9 and 12 leaves a remainder 1 in each case, but when divided by 13 leaves no remainder is :?

1. 361
2. 721
3. 1801
4. 3601

Show/Hide Answer

Answer = D - 3601
Explanation: No Explanation

Question - 2:Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively ?

1. 125
2. 127
3. 129
4. 131

Show/Hide Answer

Answer = B - 127
Explanation: No Explanation

Question - 3:Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is ?

1. 40
2. 80
3. 120
4. 200

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Answer = A - 40
Explanation: No Explanation

Question - 4:252 can be expressed as a product of primes as: ?

1. 2 x 2 x 3 x 3 x 7
2. 2 x 2 x 2 x 3 x 7
3. 3 x 3 x 3 x 3 x 7
4. 2 x 3 x 3 x 3 x 7

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Answer = A - 2 x 2 x 3 x 3 x 7
Explanation: No Explanation

Question - 5:The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is ?

1. 22
2. 48
3. 56
4. 27

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Answer = B - 48
Explanation: No Explanation

Question - 6: 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: ?

1. 55/601
2. 601/55
3. 11/120
4. 120/11

Show/Hide Answer

Answer = C - 11/120
Explanation: No Explanation

Question - 7:Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.?

1. 4
2. 7
3. 9
4. 13

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Answer = A - 4
Explanation: Required number
= H.C.F of (91 - 43), (183 - 91) and (183 - 43)
= H.C.F of 48, 92 and 140
= 4.

Question - 8:The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is: ?

1. 504
2. 536
3. 544
4. 548

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Answer = D - 548
Explanation: No Explanation

Question - 9:Product of two co-prime numbers is 117. Their L.C.M should be ?

1. 1
2. 117
3. equal to their H.C.F
4. cannot be calculated

Show/Hide Answer

Answer = B - 117
Explanation: H.C.F of co-prime numbers is 1.
So, L.C.M = 117/1
‹=› 117.

Question - 10:Which of the following is a pair of co-primes ??

1. (21, 35)
2. (23, 92)
3. (18, 25)
4. (16, 62)

Show/Hide Answer

Answer = C - (18, 25)
Explanation: No Explanation

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