100+ LCM and HCF Questions and Answers for Bank Exams - 2
Question: 6
If the HCF of two numbers is 2 and their LCM is 70, then the numbers are
(A) 2, 35
(B) 4, 70
(C) 6, 70
(D) 14, 10
Ans: D
Product of two numbers = HCF x LCM = 2 x 70 = 140.
Question: 7
The HCF and LCM of two numbers are 18 and 3780 respectively. If one of them is 540, then the second one is
(A) 112
(B) 118
(C) 126
(D) 142
Ans: C
Required number = $$({HCF × LCM} / {given number})$$
= $$({18 × 3780} / {540})$$ = 126.
Question: 8
A merchant has 140 litres, 260 litres, 320 litres of three kinds of oil. He wants to sell the oil by filling the three kinds separately in tins of equal volume. The volume of such a tin will be
(A) 13 litres
(B) 16 litres
(C) 20 litres
(D) 70 litres
Ans: C
HCF of 140, 260 and 320 = 20 or volume of each tin = 20 litres.
Question: 9
The L.C.M. of 3, 2.7 and 0.09 is
(A) 0.27
(B) 0.027
(C) 27
(D) 2.7
Ans: C
Given numbrs are 3.00, 2.70 and 0.09.L.C.M. of 300, 270, and 9 is 2700.
∴ L.C.M. of given numbers = 27.00 = 27.
Question: 10
The H.C.F. and L.C.M. of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is
(A) 24
(B) 36
(C) 48
(D) 72
Ans: C
Other number = $$({12 × 336} / 84)$$ = 48.
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