LCM & HCF SSC CGL Questions

SSC CGL-Quantitative Aptitude
LCM & HCF

LCM & HCF MCQ Questions


13.
The ratio of two numbers is 5:4 and their HCF is 4. What is their LCM?
SSC CGL 2022-01.12.2022-4
A.
80
B.
48
C.
36
D.
60
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ANSWER :
A. 80
14.
Three numbers are in the ratio of 2:3:5 and their LCM is 90. Find their HCF.
SSC CGL 2022-02.12.2022-4
A.
9
B.
1
C.
6
D.
3
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ANSWER :
D. 3
15.

The LCM of two numbers is 120 and the numbers are in the ratio 3 : 8. The sum of the numbers will be:
SSC CGL 2022-03.12.2022-3

A.

48

B.

55

C.

45

D.

60

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ANSWER :
B. 55
16.
The LCM of the two numbers is 4104 and the HCF is 9. If one of the numbers is 171, find the other.
SSC CGL 2022-05.12.2022-4
A.
218
B.
215
C.
220
D.
216
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ANSWER :
D. 216
17.

The sum of two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?
SSC CGL 2022-06.12.2022-4

A.

\( \frac{1}{7} \)

B.

\( \frac{1}{11} \)

C.

\( \frac{1}{6} \)

D.

\( \frac{1}{9} \)

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ANSWER :
D. \( \frac{1}{9} \)
18.

What is the LCM of

\[(8x^{3}+80x^{2}+200x)\ \text{and}\ (4x^{4}+16x^{3}-20x^{2})\]

SSC CGL 2022-07.12.2022-1
A.

8x²(x + 5)²(x - 1)

B.

8x²(x - 1)²(x + 5)

C.

4x²(x - 1)²(x + 5)

D.

4x²(x + 5)²(x - 1)

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ANSWER :
A. 8x²(x + 5)²(x - 1)
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