100+ LCM and HCF Questions for IBPS PO, SO, Clerk Pdf - 2

Question: 6

Three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length. What is the greatest possible length of each plank?

(A) 5 m

(B) 7 m

(C) 14 m

(D) 42 m

Ans: B

Greatest possible length of each plank = (H.C.F. of 42, 49, 63) m = 7m.

Question: 7

Find the least number which when decreased by 11 is divisible by 14, 15, 21, 32 and 60.

(A) 3271

(B) 3360

(C) 3371

(D) 4371

Ans: C

Required number = (L.C.M. of 14, 15, 21, 32, 60) + 11

                            = 3360 + 11 = 3371.

Question: 8

Four bells start ringing simultaneously at the difference of 3, 4, 5 and 8 seconds. After how many minutes they will ring simultaneously again?

(A) 1 minutes

(B) 2 minutes

(C) 4 minutes

(D) 5 minutes

Ans: B

L.C.M. of 3, 4, 5 and 8 = 120 secs = 2 minutes.

Question: 9

The H.C.F. of 1.75, 5.6 and 7 is

(A) 0.7

(B) 0.07

(C) 0.35

(D) 0.3

Ans: C

Given numbers with two decimal places are 1.75, 5.60 and 7.00.

Without decimal places, these numbers are 175, 560 and 700, whose H.C.F. is 35.

∴ H.C.F. of given numbers = 0.35.

Question: 10

The capacity of two pots is 120 litres and 56 litres respectively. Find the capacity of a container which can exactly measure the contents of the two pots.

(A) 7500 cc

(B) 7850 cc

(C) 8000 cc

(D) 9500 cc

Ans: C

Required capacity = H.C.F. of 120 litres and 56 litres = 8 litres = 8000 cc. [1 litre = 1000 cc]

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