LCM & HCF SSC GD Questions

LCM & HCF MCQ Questions

7.
The sum and the difference of the LCM and HCF of two positive numbers are 148 and 140, respectively. If one number is 16, then the other number is:
SSC GD 2021-03.12.2021-2
A.
38
B.
34
C.
36
D.
46
ANSWER :
C. 36
8.
Which is the smallest number which when divided by 8, 9 and 10 leaves remainder 1 in each case?
SSC GD 2021-03.12.2021-1
A.
360
B.
361
C.
359
D.
181
ANSWER :
B. 361
9.
Which is the greatest 3-digit number divisible by 4, 5 and 6?
SSC GD 2021-03.12.2021-3
A.
980
B.
960
C.
990
D.
978
ANSWER :
B. 960
10.
What is the HCF of the following fractions?
\(\frac{5}{4}\), \(\frac{24}{25}\), \(\frac{16}{35}\)
SSC GD 2021-03.12.2021-3
A.
\(\frac{4}{5}\)
B.
\(\frac{48}{175}\)
C.
\(\frac{4}{175}\)
D.
\(\frac{48}{5}\)
ANSWER :
C. \(\frac{4}{175}\)
11.
A number when divided by 65, gives 31 as the remainder. The same number when divided by 13, gives the remainder:
SSC GD 2021-06.12.2021-1
A.
3
B.
7
C.
5
D.
9
ANSWER :
C. 5
12.
The LCM of two positive numbers is 28 times their HCF. If their HCF is 5 and the difference between the numbers is 15, then the sum of the two numbers is:
SSC GD 2021-06.12.2021-3
A.
55
B.
44
C.
50
D.
65
ANSWER :
A. 55