Number System Quiz


1 >>Q1. Find the largest number which divides 1001, 1004 and 1010, leaving the same remainder in each case______ ?
  • (A) 3
  • (B) 6
  • (C) 1
  • (D) 9
2 >>Q2. Find the largest number which divides 49, 74, 115 leaving remainders of 1, 2 and 3 respectively ______ . ?
  • (A) 24
  • (B) 4
  • (C) 8
  • (D) 12
3 >>Q3. If (k + 3) is a three digit even number, then which amongst the following is not a natural number? ?
  • (A) (k+7)/2
  • (B) (k+5)/2
  • (C) (k+2)/2
  • (D) (k+l)/2
4 >>Q4. Five boxes A, B, C, D and E contain 5, 13, 14, 15 and 23 balls respectively. Shyam removes one box from this set of five boxes and finds that the sum of number of the balls in exactly two boxes is the same as the sum of the number of balls in the remaining two boxes. Find the box removed_______ ?
  • (A) C
  • (B) B
  • (C) D
  • (D) None of these
5 >>Q5. Which number in the option below can be expressed as a power of 5? ?
  • (A) 390625
  • (B) 1171875
  • (C) 62595
  • (D) 2353725
6 >>Q6. Find the smallest four digit number which when increased by 3 is divisible by 4, 5 and 6 _______ ?
  • (A) 1003
  • (B) 1017
  • (C) 1023
  • (D) 1087
7 >>Q7. How many numbers are there from 10 to 1100 each of which can be written in the form of npower4 where n is a natural number? ?
  • (A) 7
  • (B) 4
  • (C) 9
  • (D) 1
8 >>Q8. If K + 2 is a four digit odd number, then which among the following must be a four digit even number? ?
  • (A) K + 3
  • (B) K + l
  • (C) K - 1
  • (D) More than one of the above
9 >>Q9. If * 35624 is completely divisible by 11, then * = ? ?
  • (A) 2
  • (B) 5
  • (C) 6
  • (D) 7
10 >>Q10. A certain number of applies can be distributed equally amongst 4, 5, 6, 7, 8, 9 and 10 children. Find the minimum number of apples _______ ?
  • (A) 2520
  • (B) 840
  • (C) 420
  • (D) 720
11 >>Q11. L.M. of two numbers is 120. Their H.F. is 10. Which of the following can be the sum of those numbers? ?
  • (A) 60
  • (B) 140
  • (C) 80
  • (D) 70
12 >>Q12. H.F of 3/2 and 4/7 = ? ?
  • (A) 43114
  • (B) 43138
  • (C) 43321
  • (D) 43102
13 >>Q13. Find the value of at three decimal places _____ ?
  • (A) 8.081
  • (B) 7.28
  • (C) 7.324
  • (D) 6.325
14 >>Q14.H.F.of 7/9, 14/15, 7/10 = ? ?
  • (A) 7/675
  • (B) 14/45
  • (C) 16619
  • (D) 33055
15 >>Q15. The H.F. of two numbers is 11 and their L.M. is 7700. If one of the numbers is 275, then the other is____ ?
  • (A) 308
  • (B) 283
  • (C) 286
  • (D) 279
16 >>Q16. Harshit can make 1 cigarette out of 7 stubs. If he buys a total of 343 cigarettes initially, find the maximum number of cigarettes he can smoke_____ ?
  • (A) 399
  • (B) 400
  • (C) 392
  • (D) 401



17 >>Q17. Find the smallest three digit number which, when decreased by 2, is divisible by 2, 3, 4 and 5__________ ?
  • (A) 182
  • (B) 122
  • (C) 178
  • (D) 120
18 >>Q18. Find the remainder when 2 ^ 101 (2 power 101) is divided by 5 _____. ?
  • (A) 3
  • (B) 4
  • (C) 2
  • (D) 1
19 >>Q19. If (11.98 X 11.98+ 11.98Xx+ 0.02 x 0.02)is a perfect square, then x =? ?
  • (A) 0.4
  • (B) 0.2
  • (C) 0.04
  • (D) 0.02
20 >>Q20. The six digit number 123x7y is divisible by 36. Find the minimum value of x_____ ?
  • (A) 8
  • (B) 1
  • (C) 3
  • (D) 5