Number System (Part-2)

41. Anna and Ben each have a collection of marbles. If Anna gives one marble to Ben, they will both have an equal number of marbles. Conversely, if Ben gives one marble to Anna, she will end up with three times the number of marbles that Ben has. What is the total number of marbles they both have? [SSC CGL 18/09/2024 (3rd Shift)]

(a) 10
(b) 8
(c) 11
(d) 9

Correct Answer: (b) 8

Solution:

42. What number should be subtracted from x³ - 4x² - 8x + 11 to make the number divisible by (x + 2)? [SSC CGL 19/09/2024 (1st Shift)]

(a) 9
(b) 5
(c) 3
(d) 7

Correct Answer: (c) 3

Solution:

43. Each of Ravi and Kavita had some marbles. Kavita had 12 more marbles than Ravi had. If each of them had one more marble, then three times the number of marbles Kavita would then have had would have been equal to four times the number of marbles Ravi would then have had. How many marbles did Kavita actually have?

(a) 43
(b) 47
(c) 51
(d) 48

Correct Answer: (b) 47

Solution:

44. From the given numbers A, B, C and D, which number is NOT divisible by 11? [SSC CGL 19/09/2024 (2nd Shift)]

A = 712712
B = 177210
C = 64614
D = 756148

(a) C
(b) D
(c) B
(d) A

Correct Answer: (b) D

Solution:

45. Which of the following numbers is NOT divisible by B? [SSC CGL 19/09/2024 (3rd Shift)]

(a) 7344
(b) 5544
(c) 7497
(d) 4608

Correct Answer: (c) 7497

Solution:

46. For what least value of n, 2²ⁿ+ 2n is completely divided by 6, where n is an integer? [SSC CGL 23/09/2024 (1st Shift)]

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

Correct Answer: (b) 1

Solution:

47. The least number which must be subtracted from 7278745 so as to obtain a sum divisible by 11 is: [SSC CGL 23/09/2024 (2nd Shift)]

(a) 3
(b) 1
(c) 5
(d) 2

Correct Answer: (b) 1

Solution:

48. Ten chairs and six tables together cost 5,140; three chairs and two tables together cost ₹1,635. The cost of 1 chair and 1 table is: [SSC CGL 23/09/2024 (2nd Shift)]

(a) ₹900
(b) ₹600
(c) ₹800
(d) ₹700

Correct Answer: (d) ₹700

Solution:

49. The number 4,29,714 is divisible by: [SSC CGL 23/09/2024 (3rd Shift)]

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

Correct Answer: (d) 3 and 6

Solution:

50. Find the greatest value of 'k' in a 6-digit number 6745k2 such that the number is divisible by 3. [SSC CGL 24/09/2024 (1st Shift)]

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

Correct Answer: (c) 9

Solution:

Number System (Part-2)

42. What number should be subtracted from x³ - 4x² - 8x + 11 to make the number divisible by (x + 2)? [SSC CGL 19/09/2024 (1st Shift)]

44. From the given numbers A, B, C and D, which number is NOT divisible by 11? [SSC CGL 19/09/2024 (2nd Shift)]

45. Which of the following numbers is NOT divisible by B? [SSC CGL 19/09/2024 (3rd Shift)]

46. For what least value of n, 2²ⁿ+ 2n is completely divided by 6, where n is an integer? [SSC CGL 23/09/2024 (1st Shift)]

47. The least number which must be subtracted from 7278745 so as to obtain a sum divisible by 11 is: [SSC CGL 23/09/2024 (2nd Shift)]

48. Ten chairs and six tables together cost 5,140; three chairs and two tables together cost ₹1,635. The cost of 1 chair and 1 table is: [SSC CGL 23/09/2024 (2nd Shift)]

49. The number 4,29,714 is divisible by: [SSC CGL 23/09/2024 (3rd Shift)]

50. Find the greatest value of 'k' in a 6-digit number 6745k2 such that the number is divisible by 3. [SSC CGL 24/09/2024 (1st Shift)]

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