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
264, 396, 462, 792, 968, 2178, 5184, 6336
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 3 of 7.
Amulak said:
1 decade ago
Hey guys.
First we take coprime factors, that's why we take 4,3,and 11 and not 2.
coprime nos are those no whose HCF is 1.
Hope now it is clear.;)
First we take coprime factors, that's why we take 4,3,and 11 and not 2.
coprime nos are those no whose HCF is 1.
Hope now it is clear.;)
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:
1 decade 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:
1 decade ago
I will give one number and give clearly explanation step by step 132 find out factors?
How it will takes factors reply fast?
How it will takes factors reply fast?
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.
Devarsh said:
10 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.
Total nos = 8,
132/8 = 16.5.
As given, we can do 16 * 8 = 128.
132 - 128 = 4.
(5)
Anonynmous said:
10 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.
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