Number System

21. What is the least value of x + y, if 10 digit number 780x533y24 is divisible by 88? [SSC CHSL 03/08/2023 (4th Shift)]

(a) 4
(b) 3
(c) 1
(d) 2

Correct Answer: (d) 2

Solution:

22. Suhas mistakenly took as dividend a number which was 10% less than the original dividend. He also mistakenly took as divisor a number which was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then what quotient did Suhas obtain, assuming there was no error in his calculations? [SSC CGL 19/07/2023 (1st shift)]

(a) 27
(b) 21.6
(c) 26.4
(d) 30

Correct Answer: (a) 27

Solution:

23. During division, Pranjal mistakenly took as the dividend a number that was 10% more than the original dividend. He also mistakenly took as the divisor a number that was 25% more than the original divisor. If the correct quotient of the original division problem was 25 and the remainder was 0, what was the quotient that Pranjal obtained, assuming his calculations had no error? [SSC CGL 17/07/2023 (4th shift)]

(a) 21.75
(b) 21.25
(c) 28.75
(d) 22

Correct Answer: (d) 22

Solution:

24. The six-digit number 7x1yyx is a multiple of 33 for non-zero digits x and y. Which of the following could be a possible value of (x + y)? [Matriculation Level 30/06/2023 (Shift-4)]

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

Correct Answer: (a) 5

Solution:

25. A girl wants to plant trees in her garden in rows in such a way that the number of trees in each row to be the same. There are 10 rows and the number of trees in each row in 12, what is the number of trees in each row, if there are 5 more rows? [SSC MTS 17/05/2023 (Evening)]

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

Correct Answer: (b) 8

Solution:

26. What is the total number of factors of the number 720 except 1 and the number itself? [SSC CHSL 10/03/2023 (4th Shift)]

(a) 29
(b) 27
(c) 32
(d) 28

Correct Answer: (d) 28

Solution:

27. Which of the following is the smallest among (14)⅓, (12)½, (16)⅙ & (25)⅟₁₂ ? [SSC CHSL 10/03/2023 (3rd Shift)]

(a) (14)⅓
(b) (25)⅟₁₂
(c) (16)⅙
(d) (12)½

Correct Answer: (b) (25)⅟₁₂

Solution:

28. How many terms of the series -9,-6,-3,....... must be taken so that the sum of all the terms is 45? [SSC CHSL 10/03/2023 (1st Shift)]

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

Correct Answer: (c) 10

Solution:

29. Which of the following statements is correct? [SSC CGL 13/12/2022 (3rd Shift)]

(a) Neither I nor II
(b) Both I and II
(c) Only II
(d) Only I

Correct Answer: (d) Only I

Solution:

30. If the seven-digit number 52A6B7C is divisible by 33, and A, B, C are primes, then the maximum value of 2A + 3B + C is: [SSC CGL 12/12/2022 (3rd Shift)]

(a) 32
(b) 23
(c) 27
(d) 34

Correct Answer: (b) 23

Solution:

Number System

21. What is the least value of x + y, if 10 digit number 780x533y24 is divisible by 88? [SSC CHSL 03/08/2023 (4th Shift)]

24. The six-digit number 7x1yyx is a multiple of 33 for non-zero digits x and y. Which of the following could be a possible value of (x + y)? [Matriculation Level 30/06/2023 (Shift-4)]

25. A girl wants to plant trees in her garden in rows in such a way that the number of trees in each row to be the same. There are 10 rows and the number of trees in each row in 12, what is the number of trees in each row, if there are 5 more rows? [SSC MTS 17/05/2023 (Evening)]

26. What is the total number of factors of the number 720 except 1 and the number itself? [SSC CHSL 10/03/2023 (4th Shift)]

27. Which of the following is the smallest among (14)⅓, (12)½, (16)⅙ & (25)⅟₁₂ ? [SSC CHSL 10/03/2023 (3rd Shift)]

28. How many terms of the series -9,-6,-3,....... must be taken so that the sum of all the terms is 45? [SSC CHSL 10/03/2023 (1st Shift)]

29. Which of the following statements is correct? [SSC CGL 13/12/2022 (3rd Shift)]

30. If the seven-digit number 52A6B7C is divisible by 33, and A, B, C are primes, then the maximum value of 2A + 3B + C is: [SSC CGL 12/12/2022 (3rd Shift)]

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