Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Number System (1)

Question:

The number 2146587 is divisible by:

Options:

6

3

8

All of the above

Correct Answer:

3

Explanation:

The number is divisible by 3

Following are the divisibility rules:

The number is 2146587, in order to be divisible by 3, the sum of the digits must be divisible by 3.

So, 2 + 1 + 4 + 6 + 5 + 8 + 7 = 33, As, 33 is divisible by 3, we can say that the entire number is divisible by 3.

In case of 6 = The number must be divisible by both 2 and 3. For a number to be divisible by 2 the unit digit of the number must be an even number. We can say that the number is not divisible by 2 because the unit digit of the number is 7 (odd number). Hence, by 6 also.

For a number to be divisible by 8, the last 3 digits of the number must be divisible by 8, in the given number i.e., 2146587, the last 3 digits are 587. As, 587 is not divisible by 8, we can say that the entire number is not divisible by 8.

Hence, the final answer is 3.