 # Number System Test 1

This Test will cover basic concepts of Number System Topic of Numerical Computation questions.

Q. (51 + 52 + 53 + ------------- 100) is equal to?
 A. 2525 B. 2975 C. 3225 D. 3775
Q. If the number `357_25_` is a 7 digit number divisible by both `3` and `5`, then the missing digits in the units place and the thousands place respectively are?
 A. 0, 6 B. 5, 6 C. 5, 4 D. None of the above
Q. `5_2` is a three digit number with `_` representing a missing digit. If the number is divisible by `6`, then the missing digit is?
 A. 2 B. 3 C. 6 D. 7

Q. Which one of the following numbers is exactly divisible by `11`?
 A. `235641` B. `245642` C. `315624` D. `415624`
Q. What least value must be given to `_` so that the number `451_603` is exactly divisible by `9`?
 A. 2 B. 5 C. 7 D. 8
Q. The sum of the first 45 natural numbers is?
 A. 1035 B. 1028 C. 1053 D. 1036
Q. The sum of the even numbers between `1` and `31` is?
 A. 244 B. 242 C. 240 D. 238
Q. What least value must be assigned to `_` so that the number `63576_2` is divisible by `8`?
 A. 1 B. 2 C. 3 D. 4

Q. What least value must be assigned to `_` so that the number `451_603` is divisible by `9`?
 A. 2 B. 5 C. 7 D. 8
Q. Which of the following number is exactly divisible by `24`?
 A. 37578 B. 63810 C. 537804 D. 3125736
Q. If `1_548` is divisible by `3`, which of the following digits can replace `_`?
 A. 0 B. 12 C. 7 D. 9
Q. Which of the following number is exactly divisible by `99`?
 A. 114345 B. 135792 C. 913464 D. 3572404

Q. Which of the following numbers is divisible by all prime numbers between 1 and 17?
 A. 345345 B. 440440 C. 510510 D. 515513
Q. The sum of three consecutive odd numbers is always divisible by?
 A. 2 B. 3 C. 5 D. 6
Q. The difference between the squares of two consecutive odd integers is always divisible by?
 A. 2 B. 6 C. 7 D. 8