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HCF and LCM (Part-2)
📆 June 13, 2025
Total Questions: 37
1.
The LCM and HCF of two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.
[SSC CPO 04/10/2023 (2nd Shift)]
(a) 55 and 85
(b) 65 and 75
(c) 60 and 80
(d) 65 and 85
Correct Answer:
(d) 65 and 85
2.
If the HCF of 45 and 55 is expressible in the form of 55 x 5 + 45m, then what is the value of m?
[SSC CPO 04/10/2023 (3rd Shift)]
(a) 5
(b) -6
(c) -5
(d) 6
Correct Answer:
(b) -6
3.
Find the least number which when divided by 4, 9, 12 and 15, leaves the remainder 3 in each case.
[SSC CPO 04/10/2023 (3rd Shift)]
(a) 193
(b) 183
(c) 360
(d) 180
Correct Answer:
(b) 183
4.
Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15.
[SSC CPO 04/10/2023 (3rd Shift)]
(a) 2450
(b) 1780
(c) 1890
(d) 2340
Correct Answer:
(d) 2340
5.
Which of the following numbers leaves the remainder equal to the highest common factor of 6, 8 and 9, when divided by 6, 8 and 9?
[SSC CPO 04/10/2023 (3rd Shift)]
(a) 506
(b) 575
(c) 291
(d) 433
Correct Answer:
(d) 433
6.
Find the least number which is exactly divisible by 20, 28, 34, 60 and 75.
[SSC CPO 05/10/2023 (1st Shift)]
(a) 34500
(b) 35900
(c) 35700
(d) 36220
Correct Answer:
(c) 35700
7.
Which is the largest number that divides each of 1036, 1813 and 3885 without leaving any remainder?
[SSC CPO 05/10/2023 (1st Shift)]
(a) 259
(b) 111
(c) 333
(d) 37
Correct Answer:
(a) 259
8.
What is the LCM of 0.15, 0.18 and 0.45?
[ SSC CPO 05/10/2023 (2nd Shift)]
(a) 0.6
(b) 0.9
(c) 0.81
(d) 0.09
Correct Answer:
(b) 0.9
9.
What will be the least number which when doubled will be exactly divisible by 12, 14, 16 and 18?
[SSC CPO 05/10/2023 (2nd Shift)]
(a) 636
(b) 226
(c) 428
(d) 504
Correct Answer:
(d) 504
10.
The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.
[SSC CPO 05/10/2023 (3rd Shift)]
(a) 64 and 320
(b) 56 and 280
(c) 48 and 240
(d) 46 and 230
Correct Answer:
(a) 64 and 320
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