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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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Manager
Joined: 25 Dec 2018
Posts: 129
Location: India
Concentration: General Management, Finance
GMAT 1: 590 Q48 V23
GPA: 3.4
WE: Engineering (Consulting)
If p is a prime number greater than 11, and p is the sum of the two  [#permalink]

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05 Mar 2019, 10:19
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:08) correct 19% (01:47) wrong based on 21 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
Intern
Joined: 21 Feb 2019
Posts: 35
Re: If p is a prime number greater than 11, and p is the sum of the two  [#permalink]

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05 Mar 2019, 10:30
1
$$p > 11$$ 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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