Number Divisibility

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Question 1

How many positive integers less than 1000 are coprime with 14?
  • 571
  • 142
  • 429
  • None of these

Question 2

Which of the following statement(s) is/are correct?
  1. 1 is the remainder when 7^700 is divided by 100.
  2. 1 is the remainder when 7^26 is divided by 100.
  3. 2 is the remainder when 7^35 is divided by 13.
  • Only (1)
  • Only (2)
  • Only (1) and (3)
  • All (1), (2), and (3)

Question 3

Which of Following is not divisible from 4 ?
  • 546702
  • 556824
  • 367312
  • 467536

Question 4

There is bag of lots of integers from 1 to 10000, but you can only pick the numbers that are of 3-digit and also divisible by 3. What maximum sum of numbers you can pick.

  • 165150

  • 1600843

  • 168132420

  • 165322501

Question 5

What should be the value of * in 985*865, if number is divisible by 9?
  • 6
  • 5
  • 4
  • 0

Question 6

The least perfect square, which is divisible by each of 15, 20 and 36 is:
  • 1200
  • 800
  • 1000
  • 900

Question 7

Raghav has got a bag of numbers from 1 to 500, however he want to remove the numbers those are multiple of 9. How many total numbers will be removed?

  • 44

  • 55

  • 50

  • 52

Question 8

Which digits should come in place of * and # if the number 4675*2# is divisible by both 5 & 8?

  • 4, 0

  • 4, 5

  • 1, 0

  • 8, 0

Question 9

34. What should be the next number in below series? 3, 8, 15, 24, 35……..
  • 44
  • 47
  • 48
  • 49

Question 10

X is a positive 4 digit number. Find the largest possible value of X, such that on dividing with 5, 6, 7 it gives the remainder zero.

  • 9980

  • 9870

  • 9540

  • 9640

There are 16 questions to complete.

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