100+ Problems on HCF and LCM Aptitude Questions Answers - 2

Question: 6

The number of prime factors in the expression (6)¹⁰ x (7)¹⁷ x (11)²⁷ is

(A) 44

(B) 54

(D) 71

Ans: C

Since 2, 3, 7, 11 are prime numbers and the given expression is
2¹⁰ × 3¹⁰ × 7¹⁷ × 11²⁷.
The number of prime factors in the given expression is
(10 + 10 + 17 + 27) = 64.

Question: 7

The H.C.F and L.C.M of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is

(A) 66

(B) 132

(D) 528

View Answer

Ans: B

First number = 2 x 44 = 88

Second number = $$({44 × 264} / {88})$$ = 132.

Question: 8

The G.C.D. of two whole numbers is 5 and their LCM is 60. If one of the number is 20, then the other number would be

(A) 13

(B) 15

(D) 25

View Answer

Ans: B

1^st number x 2^nd number = GCD x LCM

∴ 2^nd number = $$({5 × 60} / {20})$$ = 15.

Question: 9

The greatest number that will divided 187, 233 and 279 leaving the same remainder in each case is

(A) 16

(B) 26

(D) 46

View Answer

Ans: D

Required number = HCF of (223 – 187), (279 – 233) and (279 – 187)

= HCF of 36, 46 and 92 = 46.

Question: 10

LCM and HCF of two numbers are 48 and 8 respectively. If one of the numbers is 16, the second number is

(A) 36

(B) 24

(D) 12

View Answer

Ans: B

Second number = $$({LCM × HCF} / {First number})$$

= $$({48 × 8} / {16})$$ = 24.

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100+ Problems on HCF and LCM Aptitude Questions Answers - 2

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