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.

Gopalakrishnan said:   1 decade ago
LCM mean least. We want to minimise the factors as much as possible. So in the above request we split the 6 by their multiples. (i.e) 3 and 2.

Kirankumar said:   1 decade ago
We take 4 instead of 2*2. Because all the numbers which are divisible by 4 also divisible by 2. And take the multiplication of same numbers.

Yuvaraj said:   10 years ago
88 can be factorized to 11*4*2. If 9988 is divisible by 11, 4 & 2 but not by 88. Can't understand this logic. Can any one explain?

Santhosh said:   1 decade ago
But it is lengthy process. Divisible each number by all these three elements. Is there any shortcut to solve such type of questions ?

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?

Priya said:   1 decade 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:   1 decade 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.

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)

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.

Nishant said:   8 years ago
462 is also divisible by 11 and gives 42 so why we won't take it?

It's answer should be 5.
(2)


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