Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 6)
6.
How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
4
5
6
7
Answer: Option
Explanation:

132 = 4 x 3 x 11

So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.

264 11,3,4 (/)

396 11,3,4 (/)

462 11,3 (X)

792 11,3,4 (/)

968 11,4 (X)

2178 11,3 (X)

5184 3,4 (X)

6336 11,3,4 (/)

Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.

Required number of number = 4.

Discussion:
62 comments Page 4 of 7.

Wizard of Auz said:   4 weeks ago
You can't use the 11*6*2 because the rule is that the pairings have to be coprimes with the exception of prime numbers.
11, 3, 4 don't have any factors with each other.

Prasanta said:   1 decade ago
Thank you senthi. I agree with your answer.

Gaurav said:   2 decades ago
These three numbers are the LCM of the Given number i.e. 132.

Hiji said:   2 decades ago
Why can't we take 2*2*3*11 ? Why it is only 4*3*11 ?

Hema said:   2 decades ago
Why have we taken only 4, 3, 11 why can't we take 2?

Priya said:   2 decades ago
All the numbers are even, so not necessary to take 2 as a to check. By taking the minimum nos to use, we split 132 as 4*3*11

Deepa said:   2 decades ago
Thats is nothing but the 132 is the multiplication of 11*3*4 the no which are divisible by these 3 are the answers.

Emela said:   1 decade ago
I need a shortcut method to solve this problem please.

Jahanzeb said:   1 decade ago
Logic is not clearly explain the answer.

Please explain me in easiest way.

Reuben said:   1 decade ago
If a number "A" is divisible by all factors of another number say "B", then "A" is divisible by "B"
thats the logic

example factors of 6= 2*3

any number that is divisible by both 2 and 3 will be divisible by 6. always
in this quetsion we have factorized 132 in to 4*3*11 so that we can check whether all numbers are divisible by them.. if yes then the number is divisible by 132.

ps: shortcut, u need to learn the divisibility rules for 11 and 3, google them


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