Number System (Part-4)​​​

21. If 72 * 72 is divisible by 9, the missing * digit will be: [Graduate Level 24/06/2024 (Shift-3)]

(a) 5 or 8
(b) 0 or 9
(c) 2 or 4
(d) 3 or 6

Correct Answer: (b) 0 or 9

Solution:

22. The number 7918378 is divisible by [Graduate Level 25/06/2024 (Shift-3)]

(a) 13
(b) 9
(c) 11
(d) 4

Correct Answer: (a) 13

Solution:

23. What least number must be subtracted from 2001 to get a number exactly divisible by 17? [Graduate Level 25/06/2024 (Shift-3)]

(a) 12
(b) 13
(c) 11
(d) 14

Correct Answer: (a) 12

Solution:

24. If * is a digit such that 7235 * is divisible by 11, then the value of is: [Graduate Level 26/06/2024 (Shift-3)]

(a) 9
(b) 6
(c) 5
(d) 8

Correct Answer: (d) 8

Solution:

25. The average of 25 integers is zero. What is the maximum possible number of positive integers? [Graduate Level 26/06/2024 (Shift-4)]

(a) 12
(b) 20
(c) 13
(d) 24

Correct Answer: (d) 24

Solution:

26. Find the largest number which should replace P in the 7- digit number 87893P4 to make the number divisible by 4. [Graduate Level 26/06/2024 (Shift-4)]

(a) 8
(b) 9
(c) 2
(d) 0

Correct Answer: (a) 8

Solution:

27. Find the smallest non-zero value of k so that 7-digit number 48397k5 is divisible by 9 [Graduate Level 26/06/2024 (Shift-4)]

(a) 2
(b) 5
(c) 4
(d) 9

Correct Answer: (d) 9

Solution:

28. 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? [SSC CHSL 07/08/2023 (2nd Shift)]

(a) 234
(b) 194
(c) 269
(d) 189

Correct Answer: (d) 189

Solution:

29. Which of the following sets is such that all its elements are divisors of the number 2520? [SSC CHSL 08/08/2023 (1st Shift)]

(a) 12,49,18
(b) 8,9,7
(c) 16,15,14
(d) 21,10,25

Correct Answer: (b) 8,9,7

Solution:

30. 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). [SSC CHSL 09/08/2023 (2nd Shift)]

(a) 324781
(b) 329787
(c) 326787
(d) 329784

Correct Answer: (d) 329784

Solution:

Number System (Part-4)​​​

21. If 72 * 72 is divisible by 9, the missing * digit will be: [Graduate Level 24/06/2024 (Shift-3)]

22. The number 7918378 is divisible by [Graduate Level 25/06/2024 (Shift-3)]

23. What least number must be subtracted from 2001 to get a number exactly divisible by 17? [Graduate Level 25/06/2024 (Shift-3)]

24. If * is a digit such that 7235 * is divisible by 11, then the value of is: [Graduate Level 26/06/2024 (Shift-3)]

25. The average of 25 integers is zero. What is the maximum possible number of positive integers? [Graduate Level 26/06/2024 (Shift-4)]

26. Find the largest number which should replace P in the 7- digit number 87893P4 to make the number divisible by 4. [Graduate Level 26/06/2024 (Shift-4)]

27. Find the smallest non-zero value of k so that 7-digit number 48397k5 is divisible by 9 [Graduate Level 26/06/2024 (Shift-4)]

28. 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? [SSC CHSL 07/08/2023 (2nd Shift)]

29. Which of the following sets is such that all its elements are divisors of the number 2520? [SSC CHSL 08/08/2023 (1st Shift)]

30. 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). [SSC CHSL 09/08/2023 (2nd Shift)]

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Number System (Part-4)