Previous Year Question – Number System
SSC CHSL 2023 Tier - 1, SSC CGL , MTS
SSC CHSL 2023
1. Which of the following is the nearest number to 13051 and is divisible by 9?
(a) 13057 (b) 13056 (c) 13059 (d) 13058
Solution
(a) 1 (b) 3 (c) 0 (d) 2
Solution
3. The divisor is 10 times the quotient and 5 times the remainder in a division sum. What is the dividend if the remainder is 46?
(a) 5972 (b) 4286 (c) 4874 (d) 5336
Solution
4.What is the largest five digit number exactly divisible by 88 ?
(a) 99992 (b) 99986 (c) 99984 (d) 99968
Solution
5. What is the least number that must be added to the greatest 6-digit number so that the sum will be exactly divisible by 294 ?
(a) 234 (b) 194 (c) 269 (d) 189
Solution
6. Which of the following sets is suchthat all its elements are divisors of thenumber 2520 ?
(a) 12, 49, 18 (b) 8 , 9, 7 (c) 16, 15, 14 (d) 21, 10, 25
Solution
7. What is the remainder when 38 is divided by 7?
(a) 5 (b) 4 (c) 6 (d) 2
Solution
8. If 7 divides the integer n, then the remainder is 2. What will be the remainder if 9n is divided by 7 ?
(a) 3 (b) 5 (c) 1 (d) 4
Solution
9. What will be the greatest number 32a78b, which is divisible by 3 but NOT divisible by 9 ? (Where a and b are single digit numbers).
(a) 324781 (b) 329787 (c) 326787 (d) 329784
Solution
10. The sum of the cubes of two given numbers is 10234, while the sum of the two given numbers is 34. What is the positive difference between the cubes of the two given numbers?
(a) 3484 (b) 3488 (c) 3356 (d) 8602
Solution
11. If a 10-digit number 620x976y52 is divisible by 88, then the least value of (x² + y²) will be:
(a) 8 (b) 7 (c) 11 (d) 10
Solution
12. The six-digit number N = 4a6b9c is divisible by 99, then the maximum sum of the digits of N is:
(a) 18 (b) 36 (c) 45 (d) 27
Solution
SSC CGL 2023
1. What will be the remainder when (265)4081 + 9 is divided by 266 ?
(a) 8 (b) 6 (c) 1 (d) 9
Solution
2. A and B have some toffees. If A gives one toffee to B, then they have an equal number of toffees. If B gives one toffee to A, then the toffees with A are double with B. The total number of toffees with A and B are _______.
(a) 12 (b) 10 (c) 14 (d) 15
Solution
3. Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8.
(a) 4 (b) 8 (c) 6 (d) 10
Solution
4. The largest 5-digit number exactly divisible by 88 is:
(a) 99990 (b) 99984 (c) 99978 (d) 99968
Solution
5. Find the sum of 3 + 32 + 33 + ……. + 38 .
(a) 6561 (b) 6560 (c) 9840 (d) 3280
Solution
6. How many of the following numbers are divisible by 132 ?
660, 754, 924, 1452, 1526, 1980, 2045 and 2170
(a) 3 (b) 6 (c) 5 (d) 4
7. A six – digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by :
(a) 3 (b) 2 (c) 5 (d) 7
8. Which of the following numbers is divisible by 24 ?
(a) 52668 (b) 49512 (c) 64760 (d) 26968
9. The cost of 32 pens and 12 pencils is ₹790. What is the total cost (in ₹ ) of 8 pens and 3 pencils together?
(a) 200.5 (b) 197.5 (c) 180.5 (d) 220.5
10. The smallest number added to 888 so that it is exactly divisible by 35 is :
(a) 22 (b) 23 (c) 20 (d) 21
11. An 11-digit number 7823326867X is divisible by 18. What is the value of X?
(a) 6 (b) 4 (c) 8 (d) 2
12. Part One While solving a problem, Suhas by mistake took a number as dividend which was 10% less than the original dividend. He also mistakenly took a number as the quotient which was 20% less than the original quotient. If the correct quotient of the original question of division was 24 and the remainder was 0, then assuming that there was no error in his calculation, what was the quotient obtained by Suhas?
(a) 27 (b) 21.6 (c) 26.4 (d) 30
13. Which of the following numbers is divisible by 36 ?
(a) 8840 (b) 1542 (c) 96272 (d) 55512
13. The sum of the two numbers is 98. The difference between the two numbers is 28, Find one of the two numbers.
(a) 32 (b) 62 (c) 58 (d) 35
14. Which of the numbers 9592450, 9592330, 9592885 and 9592741 is divisible by 11 ?
(a) 9592885 (b) 9592741 (c) 9592450 (d) 9592330
15. When m is divided by 7, the remainder is 5. When 3m is divided by 7, the remainder is:
(a) 3 (b) 2 (c) 1 (d) 0
16. What is the sum of the divisors of 484 that are perfect squares?
(a) 125 (b) 35 (c) 610 (d) 13
17. The square of 72 is equal to the product of 216 and a number. Find the number.
(a) 35 (b) 18 (c) 24 (d) 48
18. Which number among 34936, 35508, 35580 and 36508 is divisible by 33 ?
(a) 35508 (b) 35580 (c) 36508 (d) 34936
19. Find the value of a to make 6234a6 divisible by 9.
(a) 8 (b) 7 (c) 10 (d) 6
20. What is the smallest number whichcan be added to 9454351626 so that it becomes divisible by 11 ?
(a) 1 (b) 6 (c) 5 (d) 4
21. Find the remainder when 88 + 6 is divided by 7.
(a) 0 (b) 2 (c) 3 (d) 1
22. In a division sum, the divisor is 13times the quotient and 6 times theremainder. If the remainder is 39, then the dividend is:
(a) 4240 (b) 4576 (c) 4251 (d) 4800
23. Which of the following numbers is divisible by 99?
(a) 31548 (b) 60687 (c) 44775 (d) 84456
24. What is the remainder when (17 +1) is divided by (x + 1) ?
(a) x (b) x – 1 (c) 0 (d) 1
25. A four-digits number abba is divisible by 4 and a < b. How many such numbers are there?
(a) 10 (b) 8 (c) 12 (d) 6
26. A 9 – digit number 846523X7Y is divisible by 9, and Y – X = 6. Find the value of 
(a) 4 (b) 2 (c) 6 (d) 8
27. When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15 ?
(a) 6 (b) 5 (c) 3 (d) 0
28. Which of the following is the smallest 5 – digits number that is exactly divisible by 526 ?
(a) 10520 (b) 11046 (c) 10516 (d) 10426
29. A 6 – digit number has digits as consecutive natural numbers. The number is always divisible by ____.
(a) 4 (b) 5 (c) 2 (d) 3
30. How many of the following numbers are divisible by 3 but NOT by 9 ?
5826, 5964, 6039, 6336, 6489, 6564, 6867 and 6960
(a) 5 (b) 3 (c) 4 (d) 6
31. Which number among 11368,11638, 11863 and 12638 is divisible by 11 ?
(a) 11368 (b) 12638 (c) 11638 (d) 11863