Number System

11. If two numbers are each divided by the same divisor, then the remainders are 6 and 7, respectively. If the sum of the two numbers be divided by the same divisor, then the remainder is 5. The divisor is: [SSC CHSL 04/07/2024 (2nd Shift)]

(a) 6
(b) 4
(c) 13
(d) 8

Correct Answer: (d) 8

Solution:

12. Find the lowest positive value of (c - b) such that the 7-digit number 1738b9c is divisible by 12. [SSC CHSL 01/07/2024 (4th Shift)]

(a) 4
(b) 7
(c) 1
(d) 2

Correct Answer: (c) 1

Solution:

13. Successive division of a number by 2, 3, 5 and 7 gives remainders 1, 4, 0 and 5, respectively. What will be the sum of the remainders if the same number is divided by 7, 5, 3 and 2 successively? [SSC CHSL 01/07/2024 (4th Shift)]

(a) 17
(b) 8
(c) 10
(d) 9

Correct Answer: (d) 9

Solution:

14. Ram gives a six-digit number 468312 to Shyam to check the divisibility. Shyam tells Ram that the number is divisible by 57. Shyam asks Rarn, "If we rearrange the digits of this number in descending order, then by which number will it be always divisible ?" [Graduate Level 21/06/2024 (Shift-3)]

(a) 2
(b) 3
(c) 19
(d) 17

Correct Answer: (b) 3

Solution:

15. A 4-digit number '34PQ' divisible by 3,5 and 7. Find the value of P+Q. [Matriculation Level 20/06/2024 (Shift-4)]

(a) 11
(b) 12
(c) 10
(d) 13

Correct Answer: (a) 11

Solution:

16. A six-digit number is divisible by 33. If 21 is added to the number, then the new number which formed is also divisible by: [Higher Secondary 20/06/2024 (Shift-2)]

(a) 5
(b) 4
(c) 2
(d) 3

Correct Answer: (d) 3

Solution:

17. A six-digit number 11p9q4 is divisible by 24. Then the greatest possible value for pq is: [SSC CGL Tier II (26/10/2023)]

(a) 56
(b) 68
(c) 42
(d) 32

Correct Answer: (a) 56

Solution:

18. The remainder of the term 9 + 9² +.........+ 9⁽²ⁿ⁺¹⁾ when divided by 6 is: [SSC CHSL 11/08/2023 (4th Shift)]

(a) 1
(b) 4
(c) 2
(d) 3

Correct Answer: (d) 3

Solution:

19. Two numbers, when divided by a certain divisor, leave the remainder 57. When sum of the two numbers is divided by the same divisor, the remainder is 49. The divisor is: [SSC CHSL 08/08/2023 (3rd Shift)]

(a) 56
(b) 57
(c) 49
(d) 65

Correct Answer: (d) 65

Solution:

20. In a division sum, the divisor is 11 times the quotient and 5 times the remainder. If the remainder is 44, then the dividend is: [SSC CHSL 07/08/2023 (4th Shift)]

(a) 8888
(b) 4448
(c) 8444
(d) 4444

Correct Answer: (d) 4444

Solution:

Number System

11. If two numbers are each divided by the same divisor, then the remainders are 6 and 7, respectively. If the sum of the two numbers be divided by the same divisor, then the remainder is 5. The divisor is: [SSC CHSL 04/07/2024 (2nd Shift)]

12. Find the lowest positive value of (c - b) such that the 7-digit number 1738b9c is divisible by 12. [SSC CHSL 01/07/2024 (4th Shift)]

13. Successive division of a number by 2, 3, 5 and 7 gives remainders 1, 4, 0 and 5, respectively. What will be the sum of the remainders if the same number is divided by 7, 5, 3 and 2 successively? [SSC CHSL 01/07/2024 (4th Shift)]

14. Ram gives a six-digit number 468312 to Shyam to check the divisibility. Shyam tells Ram that the number is divisible by 57. Shyam asks Rarn, "If we rearrange the digits of this number in descending order, then by which number will it be always divisible ?" [Graduate Level 21/06/2024 (Shift-3)]

15. A 4-digit number '34PQ' divisible by 3,5 and 7. Find the value of P+Q. [Matriculation Level 20/06/2024 (Shift-4)]

16. A six-digit number is divisible by 33. If 21 is added to the number, then the new number which formed is also divisible by: [Higher Secondary 20/06/2024 (Shift-2)]

17. A six-digit number 11p9q4 is divisible by 24. Then the greatest possible value for pq is: [SSC CGL Tier II (26/10/2023)]

18. The remainder of the term 9 + 9² +.........+ 9⁽²ⁿ⁺¹⁾ when divided by 6 is: [SSC CHSL 11/08/2023 (4th Shift)]

19. Two numbers, when divided by a certain divisor, leave the remainder 57. When sum of the two numbers is divided by the same divisor, the remainder is 49. The divisor is: [SSC CHSL 08/08/2023 (3rd Shift)]

20. In a division sum, the divisor is 11 times the quotient and 5 times the remainder. If the remainder is 44, then the dividend is: [SSC CHSL 07/08/2023 (4th Shift)]

Related Posts