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number properties

by sud21 » Thu Jan 12, 2012 4:48 am
Is x divisible by 3?
1). When x is divided by 5, the remainder is 1
2). When x is divided by 15, the remainder is 1
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Source: — Data Sufficiency |
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by neelgandham » Thu Jan 12, 2012 10:25 am
Is x divisible by 3?
1). When x is divided by 5, the remainder is 1
So x can be written as 5p+1, where p is a non-negative Integer
If p = 0, x = 1 and is not divisible by 3
If p = 1, x =6 and is divisible by 3
Hence Insufficient!
2). When x is divided by 15, the remainder is 1
So x can be written as 15p+1, where p is a non-negative Integer
15p+1 is one more than a multiple of 3. So, is not divisible by 3
Hence sufficient!

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Anil Gandham
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