# 100+ LCM and HCF Questions for IBPS PO, SO, Clerk Pdf - 1

Question: 1

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

(A) 12

(B) 18

(C) 24

(D) 36

Ans: C

Second number = $${LCM × HCF} / {First number}$$ = $${48 × 8} / {16}$$ = 24.

Question: 2

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is

(A) 12

(B) 16

(C) 24

(D) 48

Ans D

Let the numbers be 3x and 4x.

Then, their H.C.F. = x.

So, x = 4.

So, the numbers are 12 and 16.

L.C.M. of 12 and 16 = 48.

Question: 3

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is

(A) 276

(B) 299

(C) 322

(D) 345

Ans: C

Clearly, the numbers are (23 × 13) and (23 × 14).

∴ Larger number = (23 × 14) = 322.

Question: 4

Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?

(A) 27

(B) 36

(C) 43

(D) 480

Ans: B

Maximum length of each part

= H.C.F. of 78 cm, 104 cm, 117 cm, 169 cm = 13 cm.

∴ Number of pieces = $$({78 + 104 + 117 + 169} / {13})$$ = $${468}/{13}$$ = 36.

Question: 5

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is

(A) 504

(B) 536

(C) 544

(D) 548

Ans: D

Required number = (L.C.M. of 12, 15, 20, 54) + 8 = 540 + 8 = 548.

Error Report!

1000+ Easy Puzzles Questions and Answers More

1000+ Brain Teasers Logic Puzzles Questions and Answers More

1000+ Electrical Engineering Questions and Answer Pdf More

1000+ Power Plant Engineering Questions and Answers Pdf More

1000+ Simple Logic Puzzles Questions and Answers More

100+ TNPSC Indian Economy Mock Test More

100+ IBPS Reasoning Questions with Answers More

1000+ Crossword Puzzles Questions and Answers More

1000+Computer Awareness Previous Year Questions Pdf More

1000+ Materials of Construction Objective Questions & Answers Pdf More