100+ Problems on HCF and LCM Aptitude Questions Answers - 1

Question: 1

The HCF of two numbers is 11 and their LCM is 7700. If one of these numbers is 275, then the other one is

(A) 918

(B) 308

(C) 283

(D) 279

Ans: B

Other number = $$(11 × {7700} / {275})$$ = 308.

Question: 2

The H.C.F. and L.C.M. of two numbers are 50 and 250 respectively. If the first number is divided by 2, the quotient is 50. The second number is

(A) 50

(B) 100

(C) 105

(D) 125

Ans: D

First number = (50 x 2) = 100

Second number = $$ ({50 × 250} / 100)$$ = 125.

Question: 3

A rectangular courtyard 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose?

(A) 10 cm

(B) 14 cm

(C) 21 cm

(D) 42 cm

Ans: C

Largest size of the = H.C.F of 378 cm and 525 cm = 21 cm.

Question: 4

Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

(A) 15

(B) 30

(C) 40

(D) 45

Ans: D

Required number = H.C.F. of (3026 – 11) and (5053 – 13)

                          = H.C.F. of 3015 and 5040 = 45.

Question: 5

The LCM of 148 and 185 is

(A) 3700

(B) 2960

(C) 740

(D) 680

Ans: C

HCF of 148 and 185 is 37.

HCF and LCM = Product of numbers

∴ LCM = $$({148 × 185} / {37})$$ = 740.

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