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HCF and LCM (Part-2)
📆 June 13, 2025
Total Questions: 37
21.
Find the smallest three digit number which when added to 5 is exactly divisible by 12, 14 and 18.
[SSC MTS 14/09/2023 (2nd Shift)]
(a) 240
(b) 225
(c) 245
(d) 247
Correct Answer:
(d) 247
22.
The ratio of two numbers is 3 : 4. If the sum of these two numbers is 70, then what is their LCM?
[SSC MTS 14/09/2023 (3rd Shift)]
(a) 120
(b) 96
(c) 108
(d) 84
Correct Answer:
(a) 120
23.
Find the least number divisible by 2, 3, 5, 6, 9 and 18, which is a perfect square.
[SSC CGL 24/07/2023 (2nd shift)]
(a) 900
(b) 400
(c) 144
(d) 3600
Correct Answer:
(a) 900
24.
The smallest six-digit number which is divisible by 12, 16, 24, 28 is:
[Matriculation Level 30/06/2023 (Shift-3)]
(a) 100128
(b) 100190
(c) 100180
(d) 100160
Correct Answer:
(a) 100128
25.
The HCF of two numbers is one-twentieth of their LCM. If one of the numbers is 96 and the difference of the LCM and the HCF is 456, then what is the other number?
[SSC CHSL Tier II (26/06/2023)]
(a) 48
(b) 120
(c) 144
(d) 72
Correct Answer:
(b) 120
26.
What is the HCF of two prime numbers X and Y ?
[SSC MTS 02/05/2023 (Morning)]
(a) 1
(b) 2
(c) Y
(d) X
Correct Answer:
(a) 1
27.
What is that least number that should be added to 478 so that the number obtained becomes exactly divisible by 5, 6 and 12?
[SSC MTS 04/05/2023 (Morning)]
(a) 62
(b) 12
(c) 2
(d) 52
Correct Answer:
(c) 2
28.
The product of two co-prime numbers is 483. Find the Least Common Multiple of both numbers.
[SSC MTS 08/05/2023 (Afternoon)]
(a) 483
(b) 21
(c) 1
(d) 23
Correct Answer:
(a) 483
29.
What is that least perfect square which is exactly divisible by each of 14, 84 and 28?
[SSC MTS 10/05/2023 (Afternoon)]
(a) 7056
(b) 3528
(c) 1764
(d) 441
Correct Answer:
(c) 1764
30.
The greatest number which when divides 456 and 553 leaves the remainder as 6 and 3 respectively is:
[SSC MTS 12/05/2023 (Evening)]
(a) 5
(b) 50
(c) 10
(d) 30
Correct Answer:
(b) 50
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