Number System (Part-4)​​​

31. 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? [SSC CHSL 11/08/2023 (1st Shift)]

(a) 3484
(b) 3488
(c) 3356
(d) 8602

Correct Answer: (a) 3484

Solution:

32. The six-digit number N = 4a6b9c is divisible by 99, then the maximum sum of the digits of N is: [SSC CHSL 17/08/2023 (1st Shift)]

(a) 18
(b) 36
(c) 45
(d) 27

Correct Answer: (d) 27

Solution:

33. What will be the remainder when (265)⁴⁰⁸¹+9 is divided by 266? [SSC CGL 14/07/2023 (1st shift)]

(a) 8
(b) 6
(c) 1
(d) 9

Correct Answer: (a) 8

Solution:

34. 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______ . [SSC CGL 14/07/2023 (3rd shift)]

(a) 12
(b) 10
(c) 14
(d) 15

Correct Answer: (a) 12

Solution:

35. Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8. [SSC CGL 17/07/2023 (1st shift)]

(a) 4
(b) 8
(c) 6
(d) 10

Correct Answer: (c) 6

Solution:

36. The largest 5-digit number exactly divisible by 88 is: [SSC CGL 17/07/2023 (2nd shift)]

(a) 99990
(b) 99984
(c) 99978
(d) 99968

Correct Answer: (d) 99968

Solution:

37. 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: [SSC CGL 17/07/2023 (4th shift)]

(a) 3
(b) 2
(c) 5
(d) 7

Correct Answer: (a) 3

Solution:

38. The cost of 32 pens and 12 pencils is ₹790. What is the total cost (in) of 8 pens and 3 pencils together? [SSC CGL 18/07/2023 (2nd shift)]

(a) 200.5
(b) 197.5
(c) 180.5
(d) 220.5

Correct Answer: (b) 197.5

Solution:

39. The sum of the two numbers is 98. The difference between the two numbers is 28, Find one of the two numbers. [SSC CGL 19/07/2023 (3rd shift)]

(a) 32
(b) 62
(c) 58
(d) 35

Correct Answer: (d) 35

Solution:

40. What is the sum of the divisors of 484 that are perfect squares? [SSC CGL 20/07/2023 (1st shift)]

(a) 125
(b) 35
(c) 610
(d) 13

Correct Answer: (c) 610

Solution:

Number System (Part-4)​​​

31. 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? [SSC CHSL 11/08/2023 (1st Shift)]

32. The six-digit number N = 4a6b9c is divisible by 99, then the maximum sum of the digits of N is: [SSC CHSL 17/08/2023 (1st Shift)]

33. What will be the remainder when (265)⁴⁰⁸¹+9 is divided by 266? [SSC CGL 14/07/2023 (1st shift)]

34. 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______ . [SSC CGL 14/07/2023 (3rd shift)]

35. Find the smallest number that can be subtracted from 148109326 so that it becomes divisible by 8. [SSC CGL 17/07/2023 (1st shift)]

36. The largest 5-digit number exactly divisible by 88 is: [SSC CGL 17/07/2023 (2nd shift)]

37. 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: [SSC CGL 17/07/2023 (4th shift)]

38. The cost of 32 pens and 12 pencils is ₹790. What is the total cost (in) of 8 pens and 3 pencils together? [SSC CGL 18/07/2023 (2nd shift)]

39. The sum of the two numbers is 98. The difference between the two numbers is 28, Find one of the two numbers. [SSC CGL 19/07/2023 (3rd shift)]

40. What is the sum of the divisors of 484 that are perfect squares? [SSC CGL 20/07/2023 (1st shift)]

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