Tests of Divisibility

IMPORTANT

Tests of Divisibility: Overview

This topic covers concepts, such as, Tests for Divisibility, Divisibility Test of 10, Divisibility Test of 11 & Proof for Divisibility Test of 11 etc.

Important Questions on Tests of Divisibility

HARD
IMPORTANT

Prove that a number is divisible by 10 only when its unit digit is 0 and also verify 3560 is divisible by 10

HARD
IMPORTANT

Prove that a number is divisible by 10 only when its unit digit is 0 and also verify 2350 is divisible by 10

HARD
IMPORTANT

Prove that a number is divisible by 10 only when its unit digit is 0. Give one example.

HARD
IMPORTANT

Prove that a number is divisible by 10 only when its unit digit is 0

EASY
IMPORTANT

Any number whose sum of digits is divisible by 3 is not divisible by 3

EASY
IMPORTANT

Any number whose sum of digits is divisible by 3 is also divisible by 3

HARD
IMPORTANT

State whether the following statements are true or false

Any number whose sum of digits is divisible by 3 is also divisible by 3 .

45 is divisible by 3.

MEDIUM
IMPORTANT

State whether the following statement is true or false.

2332 is exactly divisible by 2.

HARD
IMPORTANT

Explain the proof of divisibility by 2 and check whether 856 is divisible by 2 or not.

MEDIUM
IMPORTANT

If 6962=x, find the value of x.

EASY
IMPORTANT

If a number N divided by 2 leaves no remainder, the sum of all possible values of the digit in the ones place is _____.

EASY
IMPORTANT

If abc is a 3-digit number, then find the largest one-digit number that divides abc-a-b-c exactly.

EASY
IMPORTANT

The number 705 is divisible by 10.

(By expanding the number)

EASY
IMPORTANT

A number is said to be divisible by 10, if its expanded form has multiple of  both 2 and _____.

(By expanding the number)

EASY
IMPORTANT

A number is said to be divisible by 5, if its expanded form has multiple of _____.

(By expanding the number)

EASY
IMPORTANT

The square of a number 25 is divisible by 5 is 

(By expanding the number)

EASY
IMPORTANT

The number 705 is divisible by 5.

(By expanding the number)

EASY
IMPORTANT

The number 325 is divisible by _____.

(By expanding the number)

EASY
IMPORTANT

The number 3795 is divisible by both 3 and _____.

MEDIUM
IMPORTANT

The smallest 4 digit number divisible by 11 is _____.