Practice questions in Number System PART 1. (Answers are given)

Hi students, practice these questions based on number system, answers are given below the questions. please leave a comment

1. The sum of the first 100 numbers, 1 to 100 is divisible by
(1) 2, 4 and 8 (2) 2 and 4 (3) 2 only (4) None of these
Correct Answer - (3)

2. What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?
(1) 176 (2) 187 (3) 54043 (4) 748
Correct Answer - (2)

3. What is the remainder when 9^1 + 9^2 + 9^3 + …. + 9^8 is divided by 6?
(1) 3 (2) 2 (3) 0 (4) 5
Correct Answer - (3)

4. What is the reminder when 91 + 92 + 93 + …… + 99 is divided by 6?
(1) 0 (2) 3 (3) 4 (4) None of these
Correct Answer - (2)

5. Find the value of 1.1! + 2.2! + 3.3! + ……+n.n!
(1) n! +1 (2) (n+1)! (3) (n+1)!-1 (4) (n+1)!+1
Correct Answer - (3)

6. ‘a’ and ‘b’ are the lengths of the base and height of a right angled triangle whose hypotenuse is ‘h’. If the values of ‘a’ and ‘b’ are positive integers, which of the following cannot be a value of the square of the hypotenuse?
(1) 13 (2) 23 (3) 37 (4) 41
Correct Answer - (2)

7. Two numbers when divided by a certain divisor leave remainders of 431 and 379 respectively. When the sum of these two numbers is divided by the same divisor, the remainder is 211. What is the divisor?
(1) 599 (2) 1021 (3) 263 (4) Cannot be determined
Correct Answer - (1)

8. What is the least number that should be multiplied to 100! to make it perfectly divisible by 350?
(1) 144 (2) 72 (3) 108 (4) 216
Correct Answer - (2)

9. A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11, viz 88?
(1) 3 (2) 21 (3) 59 (4) 68
Correct Answer - (3)

10. What is the total number of different divisors including 1 and the number that can divide the number 6400?
(1) 24 (2) 27 (3) 27 (4) 68
Correct Answer - (2)

11. When 26854 and 27584 are divided by a certain two digit prime number, the remainder obtained is 47. Which of the following choices is a possible value of the divisor?
(1) 61 (2) 71 (3) 73 (4) 89
Correct Answer - (3)

12. How many times will the digit ‘0′ appear between 1 and 10,000?
(1) 4000 (2) 4003 (3) 2893 (4) 3892
Correct Answer - (3)

13. What number should be subtracted from x^3 + 4x^2 – 7x + 12 if it is to be perfectly divisible by x + 3?
(1) 42 (2) 39 (3) 13 (4) None of these
Correct Answer - (1)

14. What is the value of M and N respectively? If M39048458N is divisible by 8 and 11; Where M and N are single digit integers?
(1) 7, 8 (2) 8, 6 (3) 6, 4 (4) 5, 4
Correct Answer - (3)

15. How many zeros contained in 100!?
(1) 100 (2) 24 (3) 97 (4) Cannot be determined
Correct Answer - (2)

16. When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?
(1) 11 (2) 17 (3) 13 (4) 23
Correct Answer - (3)

17. What is the total number of different divisors of the number 7200?
(1) 20 (2) 4 (3) 54 (4) 32
Correct Answer - (3)

18. When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?
(1) 10 (2) 7 (3) 192 (4) None of these
Correct Answer - (2)

19. A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before the will have result that will end with 3 zeroes?
(1) 11 (2) 10 (3) 6 (4) 5
Correct Answer - (3)

20. How many four digit numbers exist which can be formed by using the digits 2, 3, 5 and 7 once only such that they are divisible by 25?
(1) 4! - 3! (2) 4 (3) 8 (4) 6
Correct Answer - (2)