HCF and LCM Questions and Answers for Practice
What is the HCF of 16, 72 and 28 ?
(A) 3
(B) 4
(C) 2
(D) 1
Correct Answer : B
The L.C.M and H.C.F of the two numbers are 84 and 21 respectively. If the numbers have a ratio of 1: 4, what is the larger number?
(A) 56
(B) 84
(C) 82
(D) 15
Correct Answer : B
The LCM of two consecutive even numbers is 144, find the numbers?
(A) 16 and 18
(B) 14 and 16
(C) 18 and 20
(D) 22 and 24
Correct Answer : A
What is the L.C. M of $$ {2\over 5},{3\over 10},{4\over 15}$$.
(A) $$ {12\over 15}$$
(B) $$ {1\over 30}$$
(C) $$ {12\over 5}$$
(D) None of these
Correct Answer : C
Three numbers are in the ratio of 3:5:10 and their LCM is 630. Find their HCF.
(A) 21
(B) 42
(C) 63
(D) 36
Correct Answer : A
Two numbers are in the ratio 3: 4 if their LCM is 240 then smaller number will be
(A) 100
(B) 80
(C) 60
(D) 50
Correct Answer : C
If (x + k ) is the common factor of x2 + ax + b and x2 + cx + d , then what is k equal to ?
(A) $$ {(d-b)\over {(c-a)}}$$
(B) $$ {(d-b)\over {(a-c)}}$$
(C) $$ {(d+b)\over {(c+a)}}$$
(D) $$ {(d-b)\over {(c+a)}}$$
Correct Answer : A
The greatest number that can be subtracted from 10000 so that the remainder may be divisible by 32, 36, 48 and 54 is-
(A) 9136
(B) 9216
(C) 9316
(D) 9236
Correct Answer : A
What is the highest common factor of 2x3 + x2 -x -2 and 3x3- 2x2 + x - 2 ?
(A) x – 1
(B) x + 1
(C) 2x + 1
(D) 2x – 1
Correct Answer : A
The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and sum of HCF and LCM is 1150. The other numbers is-
(A) 225
(B) 235
(C) 240
(D) 250
Correct Answer : A
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Vikram Singh
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