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:
61 comments Page 4 of 7.
Rushikesh said:
7 years ago
What is the divisibility property of 11?
Please, anyone, explain.
Please, anyone, explain.
Senthi said:
1 decade ago
Looking at the series we can conclude it is series
132 --
264 (132+ 132)
396 (264+132)
462 (396+132 = 528)not equal
792 (660+132)
968( 792+132= 924) not equal
therefore 924+132 = 1056
1056+1056 = 2112
2178 (1056 + 1056 = 2112) not equal
5184 (2112 +2112 + 1056= 5280) not equal
6336 (6204+132 = 6336) equal
132 --
264 (132+ 132)
396 (264+132)
462 (396+132 = 528)not equal
792 (660+132)
968( 792+132= 924) not equal
therefore 924+132 = 1056
1056+1056 = 2112
2178 (1056 + 1056 = 2112) not equal
5184 (2112 +2112 + 1056= 5280) not equal
6336 (6204+132 = 6336) equal
Gaurav said:
1 decade ago
These three numbers are the LCM of the Given number i.e. 132.
Hiji said:
1 decade ago
Why can't we take 2*2*3*11 ? Why it is only 4*3*11 ?
Hema said:
1 decade ago
Why have we taken only 4, 3, 11 why can't we take 2?
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.
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.
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
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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