LCM & HCF SSC CGL Questions

SSC CGL-Quantitative Aptitude

LCM & HCF MCQ Questions


1.
Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.
SSC CGL 2021-11.04.2022-1
A.
238689
B.
239685
C.
239688
D.
237687
😑 View Answer Rough Work Error
ANSWER :
B. 239685
2.
LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, what is the other number?
SSC CGL 2021-11.04.2022-1
A.
57
B.
171
C.
1680
D.
210
😑 View Answer Rough Work Error
ANSWER :
D. 210
3.
Find the greatest number which divides 108, 124 and 156, leaving the same remainder.
SSC CGL 2021-11.04.2022-2
A.
16
B.
12
C.
10
D.
18
😑 View Answer Rough Work Error
ANSWER :
A. 16
4.
How many numbers are there from 500 to 650 (including both) which are neither divisible by 3 nor by 7?
SSC CGL 2021-11.04.2022-2
A.
87
B.
99
C.
121
D.
21
😑 View Answer Rough Work Error
ANSWER :
A. 87
5.
A and B are two prime numbers such that A>B and their LCM is 209. The value of A2-B is:
SSC CGL 2021-12.04.2022-3
A.
350
B.
372
C.
361
D.
339
😑 View Answer Rough Work Error
ANSWER :
A. 350
6.
A and B are two prime numbers such that A > B and their LCM is 209. The value of B² - A is:
SSC CGL 2021-13.04.2022-2
A.
111
B.
102
C.
121
D.
109
😑 View Answer Rough Work Error
ANSWER :
B. 102