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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?

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

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This post received 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

greprepclubot

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