100+ LCM and HCF Questions and Answers for Bank Exams - 1
Question: 1
The LCM of three different numbers is 120. Which of the following cannot be their HCF?
(A) 8
(B) 12
(C) 24
(D) 35
Ans: D
Since HCF is always a factor of LCM.
So we cannot have numbers with HCF 16 and LCM 136.
Question: 2
The H.C.F of two numbers is 12 and their difference is 12. The numbers are
(A) 94, 106
(B) 84, 96
(C) 70. 82
(D) 66, 78
Ans: B
Out of the given numbers, the two with H.C.F. 12 and difference 12 are 84 and 96.
Question: 3
Find the greatest number which will divide 25, 73 and 97 so as to leave the same remainder in each case.
(A) 12
(B) 18
(C) 24
(D) 32
Ans: C
73 – 25 = 48
97 – 73 = 34
97 – 25 = 72.
H.C.F. of 48, 24 and 72 is 24.
Question: 4
Three different containers contain different quantities of mixture milk and water, whose measurements are 403 Kg, 434 Kg and 465 Kg. What biggest measure must be there to measure all the different quantities exactly?
(A) 1 Kg
(B) 7 Kg
(C) 14 Kg
(D) 31 Kg
Ans: D
Biggest measure = H.C.F. of (403, 434, 465) = 31 kg.
Question: 5
21 mango trees, 42 apple trees and 56 orange trees have to be planted in rows such that each row contains the same number of tress of one variety only. Minimum number of rows in which the trees may be planted is
(A) 2
(B) 5
(C) 12
(D) 17
Ans: D
For the minimum number of rows, the number of trees in each row must be the maximum.
∴ Number of trees in each row = H.C.F. of 21, 42, 56 = 7.
Hence, number of rows = $$({21 + 42 + 56} / {7})$$ = $${119} / {7}$$ = 17.
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