## Friday, 11 November 2016

### AMCAT Previous Years Questions on LCM and HCF

 Topics Sub- Topics Expected Ques Basic Mathematics 6 - 8 Questions Applied Mathematics 8 - 10 Questions Engineering Mathematics 8 - 10 Questions

Ques. 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:
Op 1: 55/601
Op 2: 601/55
Op 3: 11/120
Op 4: 120/11
Op 5:

Correct Op : 3

Ques. The L.C.M. of two numbers is 4800 and their G.C.M. is 160. If one of the numbers is 480, then the
other number is:
Op 1: 1600
Op 2: 1800
Op 3: 2200
Op 4: 2600
Op 5: None of these

Correct Op : 1

Ques. The L.C.M. of two numbers is 140. If their ratio is 2:5, then the numbers are:
Op 1: 28,70
Op 2: 28,7
Op 3: 8,70
Op 4: 8,40
Op 5: None of these

Correct Op : 1

Ques. The product of two numbers is 16200. If their LCM is 216, find their HCF.
Op 1: 75
Op 2: 70
Op 3: 80
Op 4: Data inconsistent
Op 5:

Correct Op : 1

Ques. 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?
Op 1: K*L=A
Op 2: K*A=L
Op 3: L*A=K
Op 4: None of these
Op 5:

Correct Op : 3

Ques. The ratio of two numbers is 3:4 and their HCF is 4.Their LCM is:
Op 1: 12
Op 2: 16
Op 3: 24
Op 4: 48
Op 5:

Correct Op : 4

Ques. What will be obtained if 8 is subtracted from the HCF of 168, 189, and 231?
Op 1: 15
Op 2: 10
Op 3: 21
Op 4: None of these
Op 5:

Correct Op : 4

Ques. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
Op 1: 1
Op 2: 2
Op 3: 3
Op 4: 4
Op 5:

Correct Op : 2

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