Number System

41. When a positive integer is divided by d, the remainder is 15. When ten times of the same number is divided by d, the remainder is 6. The least possible value of d is: [SSC CGL 05/03/2020 (Afternoon)]

(a) 9
(b) 12
(c) 16
(d) 18

Correct Answer: (c) 16

Solution:

42. When 200 is divided by a positive integer x, the remainder is 8. How many values of x are there? [SSC CGL 03/03/2020 (Afternoon)]

(a) 7
(b) 5
(c) 8
(d) 6

Correct Answer: (c) 8

Solution:

43. How many natural numbers lesn than 1000 are divisible by 5 or 7 but NOT by 35? [SSC CPO 11/12/2019 (Morning)]

(a) 285
(b) 313
(c) 341
(d) 243

Correct Answer: (a) 285

Solution:

44. If r is the remainder when each of 4749, 5601 and 7092 is divided by the greatest possible number d (>1), then the value of (d+r) will be: [SSC CPO 11/12/2019 (Morning)]

(a) 276
(b) 271
(c) 298
(d) 282

Correct Answer: (a) 276

Solution:

45. Let x be the least 4-digit number which when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If x lies between 2800 and 3000, then what is the sum of digits of x ? [SSC CPO 09/12/2019 (Evening)]

(a) 15
(b) 16
(c) 12
(d) 13

Correct Answer: (b) 16

Solution:

46. If the six digit number 479xyz is exactly divisible by 7, 11 and 13, then {(y +z)÷x} is equal to: [SSC CPO 09/12/2019 (Morning)]

(a) 11/9
(b) 4
(c) 13/7
(d) 7/13

Correct Answer: (b) 4

Solution:

47. Which among the following is the smallest ? [SSC CPO 09/12/19 (Morning)]

(a) √401-√399
(b) √101-√99
(c) √301-√299
(d) √201-√199

Correct Answer: (a) √401-√399

Solution:

48. Two positive numbers differ by 2001. When the larger number is divided by the smaller number, the quotient is 9 and the remainder is 41. The sum of the digits of the larger number is: [SSC CGL Tier II (13/09/2019)]

(a) 15
(b) 11
(c) 10
(d) 14

Correct Answer: (d) 14

Solution:

49. When a two digit number is multiplied by the sum of its digits, the product is 424. When the number obtained by interchanging its digits is multiplied by the sum of the digits, the result is 280. The sum of the digits of the given number is: [SSC CGL Tier II (12/09/2019)]

(a) 6
(b) 9
(c) 8
(d) 7

Correct Answer: (c) 8

Solution:

50. Let x be the least number which when divided by 15,18,20 and 27, the remainder in each case is 10 and x is a multiple of 31. What least number should be added to x to make it a perfect square? [SSC CGL Tier II (12/09/2019)]

(a) 39
(b) 37
(c) 43
(d) 36

Correct Answer: (a) 39

Solution:

Number System

41. When a positive integer is divided by d, the remainder is 15. When ten times of the same number is divided by d, the remainder is 6. The least possible value of d is: [SSC CGL 05/03/2020 (Afternoon)]

42. When 200 is divided by a positive integer x, the remainder is 8. How many values of x are there? [SSC CGL 03/03/2020 (Afternoon)]

43. How many natural numbers lesn than 1000 are divisible by 5 or 7 but NOT by 35? [SSC CPO 11/12/2019 (Morning)]

44. If r is the remainder when each of 4749, 5601 and 7092 is divided by the greatest possible number d (>1), then the value of (d+r) will be: [SSC CPO 11/12/2019 (Morning)]

45. Let x be the least 4-digit number which when divided by 2, 3, 4, 5, 6 and 7 leaves a remainder of 1 in each case. If x lies between 2800 and 3000, then what is the sum of digits of x ? [SSC CPO 09/12/2019 (Evening)]

46. If the six digit number 479xyz is exactly divisible by 7, 11 and 13, then {(y +z)÷x} is equal to: [SSC CPO 09/12/2019 (Morning)]

47. Which among the following is the smallest ? [SSC CPO 09/12/19 (Morning)]

48. Two positive numbers differ by 2001. When the larger number is divided by the smaller number, the quotient is 9 and the remainder is 41. The sum of the digits of the larger number is: [SSC CGL Tier II (13/09/2019)]

49. When a two digit number is multiplied by the sum of its digits, the product is 424. When the number obtained by interchanging its digits is multiplied by the sum of the digits, the result is 280. The sum of the digits of the given number is: [SSC CGL Tier II (12/09/2019)]

50. Let x be the least number which when divided by 15,18,20 and 27, the remainder in each case is 10 and x is a multiple of 31. What least number should be added to x to make it a perfect square? [SSC CGL Tier II (12/09/2019)]

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