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.

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.

V.Sethuramalingam said:   9 years ago
Smart thinking and superb explanation @Chethanya.

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.

Devarsh said:   9 years ago
It's simple and easy.

Total nos = 8,
132/8 = 16.5.

As given, we can do 16 * 8 = 128.

132 - 128 = 4.
(5)

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

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.

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?

Manish said:   10 years ago
=132/11=22.

=132/4=33.

=132/3=44.

Gaurav said:   10 years ago
11, 3, 4 is H.C.F of 132 that's why, we take it.

Vara said:   10 years ago
Here answer is 4. But according to @Siranjeevi 6, can you clarify?


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