HCF & LCM Handout – 3
63.
HCF and LCM of the two numbers are 12 and
144. If the ratio of two numbers is 3:4. What is the larger number?
a) 36 b) 48
c) 84 d) None
64.
The LCM and the HCF of the numbers 36 and 126
are in the ratio
a) 14:1 b) 5:2
c) 7:1 d) 7:3
65.
HCF of two different numbers is 14, which one
of the following cannot be their LCM?
a) 140 b) 84
c) 70 d) 72
66.
The L.C.M. of three different numbers is 210.
Which of the following cannot be their H.C.F.?
a) 21 b) 42
c) 24 d) 14
67.
The LCM and GCD of the two numbers are 1200
and 40 respectively. One of the numbers is 120. The other number is
a) 400 b) 180
c) 200 d) 360
68.
The HCF of the two numbers is 24 and their
product is 6912. What is their LCM?
a) 144 b) 288
c) 576 d) 72
69.
The reciprocals of HCF and LCM of the two
numbers are 1/9 and 1/315 respectively. If one of the numbers is
63, find the other number.
a) 21 b) 45
c) 77 d) 91
70.
The HCF and LCM of the two numbers are 33 and
792 respectively. If the first number is divided by 9, the quotient is 11. What
is the other number?
a) 198 b) 264
c) 231 d) 296
71.
The LCM of the two numbers is 33 times their
HCF. The sum of LCM and HCF is 714. If one of the numbers is 63, then the other
number is __
a) 84 b) 231
c) 148 d) 121
72.
The LCM of two numbers is 10 times their HCF.
One of the numbers is 210, and the sum of their HCF and LCM is 462. Find the
other number.
a) 252 b) 42
c) 168 d) 84
73.
Given that 17 is the HCF and 1445 is the LCM
of two numbers, and one of these numbers falls between 70 and 120, what is that
number?
a) 85 b) 102
c) 119 d) None
74.
Two numbers, each greater than 23, have an
HCF of 23 and an LCM of 1449. The sum of these two numbers is ?
a) 368 b) 441
c) 1472 d) None
75.
If the product of the LCM and the HCF of two
numbers is 96, and their difference is 4, then what is the greater number?
a) 3 b) 4
c) 12 d) 8
