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# how many of the following numbers are divisible by 132 ?264, 396, 462, 792, 968, 2178, 5184, 6336

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### Mohammed

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## How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

Click here👆to get an answer to your question ✍️ How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336 How many of the following numbers are divisible by 132?

Question

264,396,462,792,968,2178,5184,6336

A

B

C

D

## 8

Medium Open in App Solution Verified by Toppr

Correct option is B)

⇒  Here 3, 4 and 11 are pair wise co-prime numbers.

⇒  132=3×4×11. Also 3,4 and 11 are factors of 132. Hence if a number is divisible by 3, 4 and 11, the number will be divisible by their product 132 also.

⇒  If a number is not divisible by 3 or 4 or 11, it is not divisible by 132.

⇒  264 is divisible by 3, 4 and 11; So, 264 is divisible by 132

⇒ 396 is divisible by 3, 4 and 11; So, 396 is divisible by 132

⇒  462 is divisible by 3 and 11, but not divisible by 4; So, 462 is not divisible by 132

⇒  792 is divisible by 3, 4 and 11; So, 792 is divisible by 132

⇒  968 is divisible by 4 and 11, but not divisible by 3; So, 968 is not divisible by 132

⇒ 2178 is divisible by 3 and 11, but not divisible by 4; So, 2178 is not divisible by 132

⇒  5184 is divisible by 3 and 4, but not divisible by 11; So, 5184 is not divisible by 132

⇒  6336 is divisible by 3, 4 and 11; So, 6336 is divisible by 132

⇒  Hence, only 264, 396 ,792 and 6336 are divisible by 132. So the answer is 4.

14 3

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## [Solved] How many of the following numbers are divisible by 132? 264

Calculation: 132 = 3 × 4 × 11.  3, 4 and 11 are factors of 132, hence if a number is divisible by 3,4 and 11, the number will be di Home Quantitative Aptitude Number System Divisibility and Remainder

## Question

How many of the following numbers are divisible by 132?

264, 396, 462, 792, 968, 2178, 5184, 6336

This question was previously asked in

BARC UDC/JPA/JSK 2018 Official paper (Held on 10 March 2019)

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4 5 6 7

## Answer (Detailed Solution Below)

Option 1 : 4

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## Detailed Solution

Calculation:

132 = 3 × 4 × 11.

3, 4 and 11 are factors of 132, hence if a number is divisible by 3,4 and 11, the number will be divisible by their product 132 also.

Here 3, 4 and 11 are pair-wise co-prime numbers.

If a number is not divisible by 3 or 4 or 11, then it is not divisible by 132.

⇒ 264 is divisible by 3, 4 and 11; so 264 is divisible by 132.

⇒ 396 is divisible by 3, 4 and 11; so 396 is divisible by 132.

⇒ 462 is divisible by 3 and 11 but not divisible by 4; so 462 is not divisible by 132.

⇒ 792 is divisible by 3, 4 and 11; so 792 is divisible by 132.

⇒ 968  is divisible by 4 and 11 but not divisible by 3; so 462 is not divisible by 132.

⇒ 2178  is divisible by 3 and 11 but not divisible by 4; so 462 is not divisible by 132.

⇒ 5184  is divisible by 3 and 4 but not divisible by 11; so 462 is not divisible by 132.

⇒ 6336 is divisible by 3, 4 and 11; so 6336 is divisible by 132.

Only 264, 396, 792 and 6336 are divisible by 132.

∴ 4 numbers are divisible by 132.

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## How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 1. 4 2. 5 3. 6 4. 7 ## How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

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Mohammed 11 day ago

Guys, does anyone know the answer?