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HCF and LCM
📆 June 13, 2025
Total Questions: 50
31.
Three numbers are in the ratio 5 : 7 : 9, and their LCM is 1260. What is the difference between the largest and the smallest number?
[SSC CHSL Tier II (18/11/2024)]
(a) 24
(b) 20
(c) 16
(d) 32
Correct Answer:
(c) 16
32.
Three red lights on the same road start blinking at the same time and blink repeatedly after every 4, 6 and 8 minutes, respectively. How many times will they blink together in an interval of 3 hours, excluding blinking together at the starting moment?
[SSC MTS 08/10/2024 (Afternoon)]
(a) 5
(b) 7
(c) 6
(d) 4
Correct Answer:
(b) 7
33.
As part of the partial work from home process, Amita went to office every 2nd day, Amrita went to office every 3rd day, and Tosita went to office every 6th day, respectively. All three went to office on 31 October 2021. On how many days did all three attend office on the same date during the remaining two months of the year?
[SSC MTS 15/10/2024 (Evening)]
(a) 9
(b) 10
(c) 11
(d) 12
Correct Answer:
(b) 10
34.
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34, respectively.
[SSC MTS 16/10/2024 (Evening)]
(a) 1284
(b) 1294
(c) 1384
(d) 1394
Correct Answer:
(d) 1394
35.
If two positive integers x and y are written as x = a²b³ and y = a³b; and a and b are prime numbers, then HCF (x, y) is:
[SSC MTS 17/10/2024 (Evening)]
(a) ab²
(b) a² b²
(c) ab
(d) a²b
Correct Answer:
(d) a²b
36.
x,y and z are divisible by 2,3 and 4, respectively. What is the highest common factor (HCF) of 6x, 4y and 3z?
[SSC MTS 18/10/2024 (Morning)]
(a) At least 36
(b) At least 12
(c) At least 18
(d) At least 16
Correct Answer:
(b) At least 12
37.
Find the HCF of: 3 × 11², 2⁴ × 3² × 5³ × 11³ and 3 × 5 × 7 × 11
[SSC MTS 18/10/2024 (Evening)]
(a) 385
(b) 1815
(c) 33
(d) 165
Correct Answer:
(c) 33
38.
Two numbers are in the ratio of 7 : 9 and their LCM is 630. Find the numbers
[ SSC MTS 21/10/2024 (Morning)]
(a) 56, 72
(b) 77,99
(c) 70, 90
(d) 63, 81
Correct Answer:
(c) 70, 90
39.
If the HCF of 156 and 96 is expressible in the form of 156 × 12 + 96A, then the value of A is:
[SSC MTS 23/10/2024 (Afternoon)]
(a) -19.735
(b) 19.735
(c) -19.375
(d) 19.375
Correct Answer:
(c) -19.375
40.
The HCF of 1.75, 5.6 and 7 is:
[SSC MTS 28/10/2024 (Morning)]
(a) 0.35
(b) 3.5
(c) 0.07
(d) 0.7
Correct Answer:
(a) 0.35
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