Number System

31. In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Jay answered all the questions and scored (-12) marks, though he got 4 correct answers. How many of his answers were INCORRECT? [SSC CPO 11/11/2022 (Evening)]

(a) 8
(b) 32
(c) 16
(d) 20

Correct Answer: (c) 16

Solution:

32. The number 150328 is divisible by 23. If the digits are rearranged in descending order and five times of 13 is subtracted from the new number thus formed, then the resultant number will be divisible by: [SSC CPO 10/11/2022 (Morning)]

(a) 3
(b) 5
(c) 11
(d) 2

Correct Answer: (b) 5

Solution:

33. What is the sum of all the common terms between the given series S1 and S2 ? [SSC CGL Tier II (08/08/2022)]

S1 = 2, 9, 16, ....... , 632
S2 = 7, 11, 15, ....... , 743

(a) 6974
(b) 6750
(c) 7140
(d) 6860

Correct Answer: (a) 6974

Solution:

34. Let p, q, r and s be positive natural numbers having three exact factors including 1 and the number itself if q > p and both are two-digit numbers, and r > s and both are one-digit numbers, then the value of the expression (p - q - 1)/(r - s) is: [SSC CGL Tier II (03/02/2022)]

(a) - s - 1
(b) s - 1
(c) 1- s
(d) s + 1

Correct Answer: (a) - s - 1

Solution:

35. Three fractions x, y and z are such that x > y > z When the smallest of them is divided by the greatest, the result is 9/16 which exceeds y by 0.0625. If x + y + z = 2³⁄₁₂ then what is the value of x + z ? [SSC CGL Tier II (29/01/2022)]

(a) 5/4
(b) 1/4
(c) 7/4
(d) 3/4

Correct Answer: (c) 7/4

Solution:

36. How many numbers between 400 and 700 are divisible by 5, 6 and 7 ? [SSC CPO 24/11/2020 (Evening)]

(a) 2
(b) 5
(c) 10
(d) 20

Correct Answer: (a) 2

Solution:

37. Find the number of prime factors in the product (30)⁵ x (24)⁵. [SSC CGL Tier II (18/11/2020)]

(a) 45
(b) 35
(c) 10
(d) 30

Correct Answer: (b) 35

Solution:

38. Let ab, a ≠ b is a 2-digit prime number such that ba is also a prime number. The sum of all such number is: [SSC CGL Tier II (16/11/2020)]

(a) 374
(b) 418
(c) 407
(d) 396

Correct Answer: (b) 418

Solution:

39. Given that 2²⁰ + 1 is completely divisible by a whole number. Which of the following is completely divisible by the same number? [SSC CHSL 16/10/2020 (Afternoon)]

(a) 2¹⁵ + 1
(b) 5 x 2³⁰
(c) 2⁹⁰ + 1
(d) 2⁶⁰ + 1

Correct Answer: (d) 2⁶⁰ + 1

Solution:

40. Which of the following numbers will completely divide 7⁸¹ + 7⁸² + 7⁸³ ? [SSC CHSL 17/03/2020 (Morning)]

(a) 399
(b) 389
(c) 387
(d) 397

Correct Answer: (a) 399

Solution:

Number System

31. In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Jay answered all the questions and scored (-12) marks, though he got 4 correct answers. How many of his answers were INCORRECT? [SSC CPO 11/11/2022 (Evening)]

32. The number 150328 is divisible by 23. If the digits are rearranged in descending order and five times of 13 is subtracted from the new number thus formed, then the resultant number will be divisible by: [SSC CPO 10/11/2022 (Morning)]

33. What is the sum of all the common terms between the given series S1 and S2 ? [SSC CGL Tier II (08/08/2022)]

34. Let p, q, r and s be positive natural numbers having three exact factors including 1 and the number itself if q > p and both are two-digit numbers, and r > s and both are one-digit numbers, then the value of the expression (p - q - 1)/(r - s) is: [SSC CGL Tier II (03/02/2022)]

35. Three fractions x, y and z are such that x > y > z When the smallest of them is divided by the greatest, the result is 9/16 which exceeds y by 0.0625. If x + y + z = 2³⁄₁₂ then what is the value of x + z ? [SSC CGL Tier II (29/01/2022)]

36. How many numbers between 400 and 700 are divisible by 5, 6 and 7 ? [SSC CPO 24/11/2020 (Evening)]

37. Find the number of prime factors in the product (30)⁵ x (24)⁵. [SSC CGL Tier II (18/11/2020)]

38. Let ab, a ≠ b is a 2-digit prime number such that ba is also a prime number. The sum of all such number is: [SSC CGL Tier II (16/11/2020)]

39. Given that 2²⁰ + 1 is completely divisible by a whole number. Which of the following is completely divisible by the same number? [SSC CHSL 16/10/2020 (Afternoon)]

40. Which of the following numbers will completely divide 7⁸¹ + 7⁸² + 7⁸³ ? [SSC CHSL 17/03/2020 (Morning)]

Related Posts