number properties

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number properties

by sud21 » Thu Jan 12, 2012 4:55 am
When integer n is divided by 3, the remainder is 2. Is the integer divisible by 5?
1). When divided by 45, the remainder is 30
2). The integer is divisible by 2
Source: — Data Sufficiency |

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by neelgandham » Thu Jan 12, 2012 3:52 pm
When integer n is divided by 3, the remainder is 2. Is the integer divisible by 5?
1). When divided by 45, the remainder is 30
n = 45k+30, where K is a non-negative integer
n = 5*(9k+6) which is divisible by 5.
Sufficient to answer the question.
2). The integer is divisible by 2
from the question the integer n is of the form 3k+2, where k is a non-negative integer.
If k = 6; n = 3k+2 = 20 - Divisible by 5
If k = 4; n = 3k+2 = 14 - Not divisible by 5
Insufficient to answer the question

IMO A
Anil Gandham
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