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 6 of 7.
Samaptra das said:
1 decade ago
Look. 4=2*2. If it is already can divide by 4, then what is the need to check it with again 2 because as we know If a number "A" is divisible by all factors of another number say "B", then "A" is divisible by "B".
Sandhya said:
1 decade ago
Why can't we take 2*6*11?
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.
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.
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.
Manigundan said:
1 decade ago
Could you please explain this logic? I need a shortcut for this.
AAmin said:
1 decade ago
@Siranjeevi. If you go by that method answer comes 7 whereas answer is 4.
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?
Amit said:
1 decade ago
This is easy though time consuming.
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.
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