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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