Number Divisibility

Question 1

You have to select such 2 digit numbers that are either perfectly divisible by 5 or 9. Find the count of such numbers.

• 20

• 26

• 30

• 25

Question 2

How many positive integers less than 1000 are coprime with 14?

• 571
• 142
• 429
• None of these

Question 3

Which of Following is not divisible from 4 ?

• 546702
• 556824
• 367312
• 467536

Question 4

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 5

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 6

What should be assigned to # so that 2582#724 is divisible by 11 ?

• 4
• 5
• 6
• 7

Question 7

You are given the largest number of 5-digit, you have to subtract x from this number so that the number is divisible by 23. Find the smallest possible value of x.

• 22

• 20

• 18

• 16

Question 8

Which of the following is the largest of all ? (i) 7/8 (ii) 15/16 (iii) 23/24 (iv) 31/32

• (i)
• (ii)
• (iii)
• (iv)

Question 9

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 10

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