LCM & HCF SSC GD Questions

LCM & HCF MCQ Questions

13.
Find the greatest number that exactly divides 2880, 6525 and 8307.
SSC GD 2021-06.12.2021-3
A.
7
B.
11
C.
3
D.
9
ANSWER :
D. 9
14.
The greatest number that divides 415, 688 and 825 leaving 7, 8 and 9 as remainders, respectively, is:
SSC GD 2021-07.12.2021-1
A.
126
B.
132
C.
142
D.
136
ANSWER :
D. 136
15.
Let x be the greatest number of 4-digits which when divided by 12, 15, 16 and 20, the remainders are 9, 12, 13 and 17, respectively. The sum of the digits of x is:
SSC GD 2021-07.12.2021-2
A.
13
B.
27
C.
17
D.
28
ANSWER :
B. 27
16.
The greatest number which divides 52, 68 and 116 to leave the same remainder in each case is:
SSC GD 2021-07.12.2021-2
A.
14
B.
12
C.
18
D.
16
ANSWER :
D. 16
17.
Let x be the greatest number of six digits which when divided by 5, 6, 7, 8 and 9, leaves the remainders 4, 5, 6, 7 and 8, respectively. What is the sum of the digits of x?
SSC GD 2021-07.12.2021-3
A.
41
B.
47
C.
44
D.
43
ANSWER :
C. 44
18.
The LCM and HCF of two numbers are 210 and 5, respectively. If one of the numbers is 30, then what is the other number?
SSC GD 2021-07.12.2021-3
A.
42
B.
190
C.
30
D.
35
ANSWER :
D. 35