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.
Riya singha said:
10 years ago
Why we take only 11, 4, 3? Please answer.
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?
Chethanya said:
1 decade ago
Why can't we do it in this method.
264/132 = 2.
396/132 = 3.
462/132 = 3.5.
792/132 = 6.
968/132 = 7.31.
2178/132 = 16.5.
5184/132 = 39.27.
6336/132 = 48.
BY seeing above 4 numbers are divisible by 132.
264/132 = 2.
396/132 = 3.
462/132 = 3.5.
792/132 = 6.
968/132 = 7.31.
2178/132 = 16.5.
5184/132 = 39.27.
6336/132 = 48.
BY seeing above 4 numbers are divisible by 132.
Amit said:
1 decade ago
This is easy though time consuming.
Supriya said:
1 decade ago
@Siranjeevi:
As per your method, after adding it gets 12 18 12 18 23 18 18 18.
So except 12 nothing is divide by 6.
Is there any other fast method?
As per your method, after adding it gets 12 18 12 18 23 18 18 18.
So except 12 nothing is divide by 6.
Is there any other fast method?
AAmin said:
1 decade ago
@Siranjeevi. If you go by that method answer comes 7 whereas answer is 4.
Manigundan said:
1 decade ago
Could you please explain this logic? I need a shortcut for this.
Siranjeevi said:
1 decade ago
1+3+2=6.
Ex.
2+6+4=12.
12 is divided by 6.
Ex.
2+6+4=12.
12 is divided by 6.
Mufariq said:
1 decade ago
Dear all its so easy.
See to all which number is divide complete on 132:264, 396, 462, 792, 968, 2178, 5184, 6336 and don't leave no reminder.
That is,
264/132=2, 396/132=21, 462/132=21.4 and so on.
See to all which number is divide complete on 132:264, 396, 462, 792, 968, 2178, 5184, 6336 and don't leave no reminder.
That is,
264/132=2, 396/132=21, 462/132=21.4 and so on.
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.
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