is x prime?

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Viper83: Senior | Next Rank: 100 Posts; Posts: 67; Joined: Mon Aug 16, 2010 4:42 am

by Viper83 » Wed May 04, 2011 7:22 am

Is positive integer x prime?

1. x can be expressed as the product of two integers, each of which is greater than 1.
2. 13 < x < 17

d

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Source: Beat The GMAT — Data Sufficiency | Wed May 04, 2011 7:22 am

manpsingh87: Master | Next Rank: 500 Posts; Posts: 436; Joined: Tue Feb 08, 2011 3:07 amFollowed by: 6 members; Thanked: 72 times

by manpsingh87 » Wed May 04, 2011 8:05 am

Viper83 wrote:Is positive integer x prime?

1. x can be expressed as the product of two integers, each of which is greater than 1.
2. 13 < x < 17

d

lets first consider the definition of prime no. which states that prime no. is a number which is divisible by 1 and itself.

Now consider
1) x=a*b; i.e. x will be divisible by both a and b; and each of which is greater than 1, hence x is not a prime no.
2) integers lying between 13<x<17 are 14,15,16 each of which is not a prime, hence x is not a prime no.

as each statement to answer the question hence answer should be D

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