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# An integer greater than 1 that is not prime is called

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Manager
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An integer greater than 1 that is not prime is called [#permalink]

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18 Nov 2009, 00:11
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An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?
(1) The tens digit of n is a factor of the units digit of n.
(2) The tens digit of n is 2.
Manager
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18 Nov 2009, 01:59
Statement 1:

All numbers between 11 and 19 fit this requirement, but it includes both primes and composites:

Prime: 11, 13, 17, 19
Composite: 12, 14, 15, 16, 18

INSUFFICIENT

Statement 2:

This set includes the numbers between 20 and 29 which also has both primes and composites.

INSUFFICIENT

Statements 1 and 2:

From the numbers between 20 and 29 where the tens digit is a factor of the units digit, we have only composites.

We know this because no even number besides 2 is a prime number:

22,24,26,28

SUFFICIENT

Manager
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18 Nov 2009, 02:10
Quote:
All numbers between 11 and 19 fit this requirement, but it includes both primes and composites:

Question stem states that n must be greater than 20.

(A) should be sufficient.
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Senior Manager
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18 Nov 2009, 03:12
An integer greater than 1 that is not prime is called composite. If the two-digit integer n is greater than 20, is n composite?
(1) The tens digit of n is a factor of the units digit of n.
(2) The tens digit of n is 2.

A

1. numbers such as 22 24 36 39 suffice and are composite
Suff
2. we know nothing about units digit. the info will be true for 23 and 24 as well. Hence insuff
Re: DSCompostite   [#permalink] 18 Nov 2009, 03:12
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