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# A lunar mission is made up of x astronauts and is formed fro

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Joined: 20 May 2014
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A lunar mission is made up of x astronauts and is formed fro [#permalink]  09 Oct 2017, 23:15
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A lunar mission is made up of x astronauts and is formed from a total of 12 astronauts. A day before the launch the commander of the program decides to add p astronauts to the mission. If the total number of possible lunar missions remain unchanged after the commander’s decision, then which of the following cannot be the value of p?

(A) x

(B) x + 3

(C) 3

(D) 6

(E) 8

Kudos for correct solution.
[Reveal] Spoiler: OA
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Joined: 09 Oct 2017
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Kudos [?]: 1 [1] , given: 0

Re: A lunar mission is made up of x astronauts and is formed fro [#permalink]  10 Oct 2017, 06:39
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KUDOS
from the problem one can infer that

12 C x = 12 C (x + p)

in such a case

either x = x + p
or 12 - x = x + p

A) x = x + x ---> x = 0
12 - x = x + x ---> x = 4 p = 4
B) x = x + x + 3 ----> x = -3 not possible
12 - x = x + x + 3 ---> 3x = 9 --> x = 3 p = 9
C) x = x + 3 ---> this equation can never be true
12 - x = x + 3 ---> 2x = 9 ---> x = 4.5. funny thing astronauts cannot be cut into half. SO this equatoin is also invalid

hence the answer is C
Re: A lunar mission is made up of x astronauts and is formed fro   [#permalink] 10 Oct 2017, 06:39
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# A lunar mission is made up of x astronauts and is formed fro

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