LCM and HCF SSC MTS Questions

SSC MTS-Numerical and Mathematical Ability

LCM and HCF MCQ Questions


13.
The LCM of (x3 - 27, x2 - x - 6, x + 2) is:
SSC MTS 2021-04.11.2024-1
A.
\((x-3)(x+2)(x^{2}-3x+9)\)
B.
\((x+3)(x+2)(x^{2}-3x+9)\)
C.
\((x-3)(x+2)(x^{2}+3x-9)\)
D.
\((x-3)(x+2)(x^{2}+3x+9)\)
😑 View Answer Rough Work Error
ANSWER :
D. \((x-3)(x+2)(x^{2}+3x+9)\)
14.
Determine the smallest number which when divided by 20, 15 and 30 leaves remainder 6 in each case.
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A.
36
B.
66
C.
56
D.
96
😑 View Answer Rough Work Error
ANSWER :
B. 66
15.
The HCF and LCM of two numbers are 11 and 3465, respectively. If one of the two numbers is 693, what is the other number?
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A.
315
B.
75
C.
55
D.
65
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ANSWER :
C. 55
16.
Three numbers are in the ratio 3 : 4 : 5 and their LCM is 2400. Their HCF is:
SSC MTS 2021-05.11.2024-1
A.
60
B.
40
C.
30
D.
25
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ANSWER :
B. 40
17.
The LCM of 16,20 and 24 is:
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A.
260
B.
135
C.
180
D.
240
😑 View Answer Rough Work Error
ANSWER :
D. 240
18.
The ratio of two numbers is 3:4 and their HCF is 4. Then, their LCM is:
SSC MTS 2021-05.11.2024-3
A.
24
B.
28
C.
38
D.
48
😑 View Answer Rough Work Error
ANSWER :
D. 48