Number System (Part-5)​​​

Total Questions: 50

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

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)]

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)]

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

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)]

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)]

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)]

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)]

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)]

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)]

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