Divisibility Rules Practice Exercise


1. Find the remainder when 1201 × 1203 ×1205 × 1207 is divided by 6.
a. 1
b. 2
c. 3
d. 4


2. Find the remainder when 1! + 2! + 3! + 4! + 5! + .......100! is divided by 24.
a. 1
b. 5
c. 7
d. 9


3. What is the remainder when ${8^{100}}$ is divisible by 17.
a. 11
b. 16
c. 7
d. 9


4. Find the remainder when 10! is divided by 11.
a. 5
b. 8
c. 9
d. 10


5. Find the remainder when 39! is divided by 41.
a. 1
b. 11
c. 39
d. 40


6. Find the remainder when ${5^{100}}$ when divided by 18.
a. 11
b. 13
c. 14
d. 18


7. Find the remainder when ${30^{{{32}^{34}}}}$ is divided by 11.
a. 4
b. 5
c. 6
d. 7


8. What is the remainder when 2222^5555 + 5555^2222 is divided by 7?
a. 0
b. 1
c. 3
d. 4


9. If the first 99 natural numbers are written side by side to form a new number 123456..........9899, then find the remainder when this number is divided by 11.
a. 5
b. 6
c. 7
d. 8


10.123456789101112.... . 434445 . Find the remainder when divided by 45?
a. 0
b. 10
c. 20
d. 30