Sheet
05 HCF & LCM
8. What is the smallest three digit number which is
divisible by both 6 and 8?
(a) 9700 (b) 9300 (c) 9930 (d) 9900
SSC GD – 2023
15. What is the largest five digit number which can be
(a) 120 (b) 150 (c) 110 (d) 100 exactly divided by 36, 48 and 60?
9. What is the smallest four digit number which is
divisible by both 15 and 20?
(a) 99560 (b) 99480 (c) 99360 (d) 99820
16. If a natural number when divided by 2, 3 and 4
(a) 1020 (b) 1010 (c) 1050 (d) 1030 leaves a remainder of 1 in each case, then what is
10. What is the largest 3 digit number which is divis- the smallest possible three digit natural number?
ible by 4, 5 and 6?
(a) 960 (b) 978 (c) 980 (d) 990 (a) 109 (b) 105 (c) 103 (d) 107
SSC GD – 2021 SSC GD – 2023
11. The largest three digit number which is divisible by 17. What is the largest four digit number which when
3,12, 24 and 36 is: divided by 18, 36, and 48 gives the same remain-
der 8 each time?/
(a) 936 (b) 984 (c) 900 (d) 924
SSC GD – 2023
12. What is the smallest four digit number which is (a) 9944 (b) 9946 (c) 9964 (d) 9984
divisible by 20, 25 and 30? SSC GD – 2021
18. Dividing the largest three digit number by 3, 4, 6,
15 and 20 gives a remainder of 1 in each case. What
will be the sum of the digits of that number?
(a) 1200 (b) 1020 (c) 1050 (d) 1500
13. Find the largest four digit number which is divis-
ible by 14, 30 and 42.
(a) 10 (b) 15 (c) 16 (d) 13
SSC GD – 2023
(a) 9870 (b) 9780 (c) 9098 (d) 9880
19. Find the sum of digits of the smallest 6 digit num-
SSC GD – 2021 ber divisible by 18, 24 and 25.
14. What is the largest four digit number which can be
completely divided by 15, 20, 25 and 30?/
(a) 12 (b) 10 (c) 15 (d) 9
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SSC GD – 2024
20. Find the sum of the digits of the smallest 5 digit
number divisible by 18, 24 and 30.
(a) 9 (b) 8 (c) 7 (d) 11
ANSWER KEY
Type - 06
8. (a) 16. (a)
17. (a)
9. (a)
10. (a) 18. (c)
11. (a) 19. (d)
20. (a)
12. (a)
13. (a)
14. (d)
15. (c)
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