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HCF and LCM
📆 June 13, 2025
Total Questions: 50
41.
The LCM of x³ - 27, x² - x - 6, x + 2 is:
[SSC MTS 04/11/2024 (Morning)]
(a) (x - 3)(x + 2)(x² - 3x + 9)
(b) (x + 3)(x + 2)(x² - 3x + 9)
(c) (x - 3)(x + 2)(x² + 3x - 9)
(d) (x - 3)(x + 2)(x² + 3x + 9)
Correct Answer:
(d) (x - 3)(x + 2)(x² + 3x + 9)
42.
The product of LCM and HCF of two numbers is 24. If the difference between the two numbers is 2, then find the numbers.
[SSC MTS 13/11/2024 (Evening)]
(a) 5 and 3
(b) 6 and 4
(c) 2 and 4
(d) 8 and 6
Correct Answer:
(b) 6 and 4
43.
The LCM of 1/6, 4/15, 5/9, 7/27, 8/3 is:
[SSC MTS 14/11/2024 (Afternoon)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
44.
The largest number of four digits that is exactly divisible by 17 and 36 is:
[SSC CPO 03/10/2023 (1st Shift)]
(a) 8568
(b) 9180
(c) 9792
(d) 7956
Correct Answer:
(c) 9792
45.
Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:
[SSC CPO 03/10/2023 (1st Shift)]
(a) 45
(b) 105
(c) 60
(d) 15
Correct Answer:
(b) 105
46.
Find the greatest number which when divides 261, 853 and 1221, leaves a remainder of 5 in each case.
[SSC CPO 03/10/2023 (2nd Shift)]
(a) 18
(b) 17
(c) 16
(d) 19
Correct Answer:
(c) 16
47.
Find the LCM of 3/2, 81/16, and 9/8.
[SSC CPO 03/10/2023 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
48.
Find the greatest possible length. (in metres) that can be used to exactly measure the lengths 6 m, 5 m 25 cm and 12 m 50 cm.
[SSC CPO 03/10/2023 (2nd Shift)]
(a) 0.35 m
(b) 0.90 m
(c) 0.75
(d) 0.25 m
Correct Answer:
(d) 0.25 m
49.
The least number which should be added to 1351 so that the sum is exactly divisible by 2, 4, 6 and 8 is:
[SSC CPO 03/10/2023 (3rd Shift)]
(a) 13
(b) 11
(c) 15
(d) 17
Correct Answer:
(d) 17
50.
Let the HCF of m and n be 'a' and let n = ab, LCM of m and n is given by:
[SSC CPO 04/10/2023 (1st Shift)]
(a) ab
(b) am
(c) bm
(d) mn
Correct Answer:
(c) bm
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