HCF and LCM Questions and Answers for Practice
The sum of a pair of positive integers is 336 and their H.C.F. is 21. The number of such possible pairs is
(A) 4
(B) 5
(C) 2
(D) 3
Correct Answer : A
Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are
(A) 4, 8, 12
(B) 10, 20, 30
(C) 12, 24, 36
(D) 5, 10, 15
Correct Answer : C
The LCM of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is
(A) 40
(B) 64
(C) 28
(D) 32
Correct Answer : A
LCM of (a2 – 9) and (a4 – 81) is:
(A) $$ {(a^{2}-9)(a+3)}$$
(B) $$ {(a^{2}-9)(a^{2}+9)}$$
(C) (a+3)(a- 3)
(D) $$ {(a^{2}-9)(a-3)}$$
Correct Answer : B
Two numbers are in the ratio 3 : 4. The product of their H.C.F. and L.C.M. is 2028. The sum of the numbers is
(A) 86
(B) 91
(C) 68
(D) 72
Correct Answer : B
The LCM and the HCF of the numbers 28 and 42 are in the ratio:
(A) 3 : 2
(B) 7 : 2
(C) 6 : 1
(D) 2 : 3
Correct Answer : C
The ratio of the sum to the LCM of two natural numbers is 7 : 12. If their HCF is 4, then the smaller number is :
(A) 12
(B) 8
(C) 20
(D) 16
Correct Answer : A
If the ratio of two numbers is 2 : 3 and their L.C.M. is 54, then the sum of the two numbers is
(A) 45
(B) 270
(C) 5
(D) 15
Correct Answer : A
HCF of $$ {2\over3},{4\over 5} \ and \ {6\over 7}$$
(A) $$ {48\over 105}$$
(B) $$ {2\over 105}$$
(C) $$ {1\over 105}$$
(D) $$ {24\over 105}$$
Correct Answer : B
LCM of two numbers is 2079 and their HCF is 27. If one of the numbers is 189, the other number is
(A) 297
(B) 584
(C) 189
(D) 216
Correct Answer : A
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