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If p is a prime number greater than 11, and p is the sum of the two

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Senior Manager
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Joined: 25 Dec 2018
Posts: 485
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
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WE: Engineering (Consulting)
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If p is a prime number greater than 11, and p is the sum of the two  [#permalink]

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New post 05 Mar 2019, 10:19
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Difficulty:

  15% (low)

Question Stats:

75% (01:07) correct 25% (01:23) wrong based on 36 sessions

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If p is a prime number greater than 11, and p is the sum of the two prime numbers x and y (where x < y), then x must be which of the following?

A. 2
B. 5
C. 7
D. 9
E. 13
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Re: If p is a prime number greater than 11, and p is the sum of the two  [#permalink]

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New post 05 Mar 2019, 10:30
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\(p > 11\) and \(p = x + y\), where \(x < y\) and \(p, x, y\) are prime numbers.

The next prime number after 11 is 13. It is an odd number = even + odd. The only even prime number is 2.

So, 13 = 2 + 11. \(x = 2\)
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Re: If p is a prime number greater than 11, and p is the sum of the two   [#permalink] 05 Mar 2019, 10:30
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If p is a prime number greater than 11, and p is the sum of the two

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