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:
61 comments Page 3 of 7.

Srinu said:   10 years ago
I will give one number and give clearly explanation step by step 132 find out factors?

How it will takes factors reply fast?

Jake said:   10 years ago
I just got confused with the logic, there are many answers to this not one. I agree with dividing each by 132 to get a whole number with no reminder. Its more satisfying.

Ravip said:   9 years ago
Can you please explain me what is the divisibility condition for 11.

Riya singha said:   10 years ago
Why we take only 11, 4, 3? Please answer.

Anonynmous said:   9 years ago
We can't take 2 as it will not sufficient for 132 but if we take 2 then we will be checking for 66.

Koala said:   9 years ago
@Yuvaraj.

I don't think the given solution I applicable for every number.

Eg: 9988 is divisible by all the factors of 88 (4 x 2 x 11).

But then too it is not divisible by 88.

Anvesha said:   9 years ago
@Koala,

I guess you missed out on the fact that we in here are talking about co-primes while 4 and 2 don't happen to be co-prime factors. 88 = 8 * 11.

And 9988 is not divisible by 8.

Adil said:   9 years ago
This is the wrong answer. In this logic, 462 can also divide by 4, 3, 11.

Raju said:   6 years ago
968 & 2178 is divisible by 11.

Reshma said:   8 years ago
Can you give divisibility rule of more numbers?


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