Number System (Part-4)​​​

41. The square of 72 is equal to the product of 216 and a number. Find the number. [SSC CGL 20/07/2023 (3rd shift)]

(a) 35
(b) 18
(c) 24
(d) 48

Correct Answer: (c) 24

Solution:

42. Find the remainder when 8⁸+ 6 is divided by 7. [SSC CGL 25/07/2023 (1st shift)]

(a) 0
(b) 2
(c) 3
(d) 1

Correct Answer: (a) 0

Solution:

43. A four-digits number abba is divisible by 4 and a < b. How many such numbers are there? [SSC CGL, 26/07/2023 (1st shift)]

(a) 10
(b) 8
(c) 12
(d) 6

Correct Answer: (b) 8

Solution:

44. A 9-digit number 846523X7Y is divisible by 9, and Y - X = 6. Find the value of √2X + 4Y. [SSC CGL 26/07/2023 (2nd shift)]

(a) 4
(b) 2
(c) 6
(d) 8

Correct Answer: (c) 6

Solution:

45. When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15? [SSC CGL 26/07/2023 (3rd shift)]

(a) 6
(b) 5
(c) 3
(d) 0

Correct Answer: (a) 6

Solution:

46. Which of the following is the smallest 5-digits number that is exactly divisible by 526 ? [SSC CGL 27/07/2023 (1st shift)]

(a) 10520
(b) 11046
(c) 10516
(d) 10426

Correct Answer: (a) 10520

Solution:Smallest 5-digit no = 10,000
When 10,000 is divided by 526, gives the remainder 6.
So the required no = 10000+ (526 - 6) =10520

47. A 6-digit number has digits as consecutive natural numbers. The number is always divisible by______ . [SSC CGL 27/07/2023 (2nd shift)]

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

Correct Answer: (d) 3

Solution:

48. How many of the following numbers are divisible by 3 but NOT by 9? [SSC CGL 27/07/2023 (3rd shift)]

5826, 5964, 6039, 6336, 6489, 6564, 6867 and 6960

(a) 5
(b) 3
(c) 4
(d) 6

Correct Answer: (c) 4

Solution:

49. Which of the following is a prime number? [Graduate Level 30/06/2023 (Shift-1)]

(a) 161
(b) 171
(c) 193
(d) 177

Correct Answer: (c) 193

Solution:Clearly, 193 is the prime number.

50. The sum of two numbers 10373 + 24871 is divisible by: [Matriculation Level 27/06/2023 (Shift-1)]

(a) 7
(b) 8
(c) 6
(d) 13

Correct Answer: (c) 6

Solution:10373+24871 = 35244
Clearly, it is divisible by 6.

Number System (Part-4)​​​

41. The square of 72 is equal to the product of 216 and a number. Find the number. [SSC CGL 20/07/2023 (3rd shift)]

42. Find the remainder when 8⁸+ 6 is divided by 7. [SSC CGL 25/07/2023 (1st shift)]

43. A four-digits number abba is divisible by 4 and a < b. How many such numbers are there? [SSC CGL, 26/07/2023 (1st shift)]

44. A 9-digit number 846523X7Y is divisible by 9, and Y - X = 6. Find the value of √2X + 4Y. [SSC CGL 26/07/2023 (2nd shift)]

45. When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15? [SSC CGL 26/07/2023 (3rd shift)]

46. Which of the following is the smallest 5-digits number that is exactly divisible by 526 ? [SSC CGL 27/07/2023 (1st shift)]

47. A 6-digit number has digits as consecutive natural numbers. The number is always divisible by______ . [SSC CGL 27/07/2023 (2nd shift)]

48. How many of the following numbers are divisible by 3 but NOT by 9? [SSC CGL 27/07/2023 (3rd shift)]

49. Which of the following is a prime number? [Graduate Level 30/06/2023 (Shift-1)]

50. The sum of two numbers 10373 + 24871 is divisible by: [Matriculation Level 27/06/2023 (Shift-1)]

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Number System (Part-4)