LCM & HCF SSC GD Questions

LCM & HCF MCQ Questions

1.
x is the smallest number of 5-digits which when divided by 10, 15, 24, 35 and 42 leaves a remainder 7 in each case. The sum of the digits of x is:
SSC GD 2021-30.11.2021-1
A.
18
B.
19
C.
13
D.
16
ANSWER :
D. 16
2.
25 and 750 are the highest common factor and the lowest common multiple of two numbers, respectively. If one of the two numbers is 75, find the other number.
SSC GD 2021-30.11.2021-2
A.
250
B.
75
C.
50
D.
25
ANSWER :
A. 250
3.
Find the greatest number of four digits which is divisible by 18, 21 and 24.
SSC GD 2021-02.12.2021-1
A.
9864
B.
9618
C.
9842
D.
9576
ANSWER :
D. 9576
4.
The HCF of 319,435 and 667 is x . The value of x lies between:
SSC GD 2021-02.12.2021-1
A.
25 and 30
B.
35 and 40
C.
30 and 35
D.
20 and 25
ANSWER :
A. 25 and 30
5.
The LCM and HCF of two numbers are 3564 and 81, respectively. If the numbers are 324 and x, then what is the sum of the digits of x ?
SSC GD 2021-02.12.2021-2
A.
18
B.
13
C.
19
D.
17
ANSWER :
A. 18
6.
LCM of two prime numbers x and y (x > y) is 253. The difference between the numbers is:
SSC GD 2021-02.12.2021-3
A.
14
B.
16
C.
11
D.
12
ANSWER :
D. 12