Number System (Part-5)​​​

21. What is the value of 98² - 97² + 96² - 95² + 94² - 93² +...........12² - 11² [SSC CHSL 17/03/2023 (4th Shift)]

(a) 4725
(b) 4796
(c) 4851
(d) 4926

Correct Answer: (b) 4796

Solution:

22. If the sum of squares of two real numbers is 12 and the product of the numbers is 4, find the difference between the numbers. [SSC CHSL 20/03/2023 (3rd Shift)]

(a) 4
(b) 8
(c) 1
(d) 2

Correct Answer: (d) 2

Solution:

23. Which of the following is largest among (125)¹⁄⁶, (11)¹⁄³, (12)¹⁄⁶, (5)¹⁄⁴ ? [SSC CHSL 21/03/2023 (3rd Shift)]

(a) (12)¹⁄⁶
(b) (11)¹⁄³
(c) (125)¹⁄⁶
(d) (5)¹⁄⁴

Correct Answer: (c) (125)¹⁄⁶

Solution:

24. Which of the following statements is true? [SSC CHSL 21/03/2023 (4th Shift)]

I. 5/11 > 5/6
II. 5/9 > 8/9
III. 5/6 > 4/5

(a) Only III
(b) Both I and II
(c) Only II
(d) Only I

Correct Answer: (a) Only III

Solution:

25. The number 5769116 is divisible by which of the following numbers? [SSC CGL Tier II (02/03/2023)]

(a) 4
(b) 5
(c) 12
(d) 8

Correct Answer: (a) 4

Solution:5769116 is divivsible by 4 as its last two digits are divisible by 4.

26. What will be the remainder when 27²⁷ + 27 is divided by 28 ? [SSC CGL 01/12/2022 (3rd Shift)]

(a) 28
(b) 27
(c) 25
(d) 26

Correct Answer: (d) 26

Solution:

27. In a class of students, the first student has 2 toffees, second has 4 toffees, third has 6 toffees and so on. If the number of students in the class is 25, then the total number of toffees are divisible by_______. [SSC CGL 02/12/2022 (2nd Shift)]

(a) 5 and 7
(b) 5 and 13
(c) 11 and 13
(d) 7 and 11

Correct Answer: (b) 5 and 13

Solution:

28. The difference of two numbers is 1564. After dividing the larger number by the smaller, we get 6 as quotient and 19 as remainder. What is the smaller number? [SSC CGL 02/12/2022 (3rd Shift)]

(a) 456
(b) 287
(c) 623
(d) 309

Correct Answer: (d) 309

Solution:

29. The nearest number which is greater to 87501, and is completely divisible by 765 is: [SSC CGL 03/12/2022 (1st Shift)]

(a) 88975
(b) 87975
(c) 87966
(d) 87775

Correct Answer: (b) 87975

Solution:

30. Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11? [SSC CGL 05/12/2022 (1st Shift)]

(a) p = 2 and q = 2
(b) p = 5 and q = 4
(c) p = 4 and q = 2
(d) p = 5 and q = 2

Correct Answer: (d) p = 5 and q = 2

Solution:

Number System (Part-5)​​​

21. What is the value of 98² - 97² + 96² - 95² + 94² - 93² +...........12² - 11² [SSC CHSL 17/03/2023 (4th Shift)]

22. If the sum of squares of two real numbers is 12 and the product of the numbers is 4, find the difference between the numbers. [SSC CHSL 20/03/2023 (3rd Shift)]

23. Which of the following is largest among (125)¹⁄⁶, (11)¹⁄³, (12)¹⁄⁶, (5)¹⁄⁴ ? [SSC CHSL 21/03/2023 (3rd Shift)]

24. Which of the following statements is true? [SSC CHSL 21/03/2023 (4th Shift)]

25. The number 5769116 is divisible by which of the following numbers? [SSC CGL Tier II (02/03/2023)]

26. What will be the remainder when 27²⁷ + 27 is divided by 28 ? [SSC CGL 01/12/2022 (3rd Shift)]

27. In a class of students, the first student has 2 toffees, second has 4 toffees, third has 6 toffees and so on. If the number of students in the class is 25, then the total number of toffees are divisible by_______. [SSC CGL 02/12/2022 (2nd Shift)]

28. The difference of two numbers is 1564. After dividing the larger number by the smaller, we get 6 as quotient and 19 as remainder. What is the smaller number? [SSC CGL 02/12/2022 (3rd Shift)]

29. The nearest number which is greater to 87501, and is completely divisible by 765 is: [SSC CGL 03/12/2022 (1st Shift)]

30. Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11? [SSC CGL 05/12/2022 (1st Shift)]

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Number System (Part-5)