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Prime number problem

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by nafishasan » Sun Feb 05, 2012 10:33 pm
P is a prime number. If 6p is between 15 and 95, which of the following can be a value of 7p + 2 ?

A. 15
B. 79
C. 121
D. 65
E. 21
Last edited by nafishasan on Sun Feb 05, 2012 11:01 pm, edited 1 time in total.
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by Anurag@Gurome » Sun Feb 05, 2012 10:37 pm
nafishasan wrote:P is a prime number. If 6p is between 15 and 95, which of the following can be a value of ?

A. 15
B. 79
C. 121
D. 65
E. 21
This seems to be incomplete, can you please check this again?
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by Anurag@Gurome » Sun Feb 05, 2012 10:47 pm
nafishasan wrote:P is a prime number. If 6p is between 15 and 95, which of the following can be a value of 7p + 2?

A. 15
B. 79
C. 121
D. 65
E. 21
The missing term is 7p + 2.

If p = 3 (the minimum possible value of p), then 6p = 18, which is between 15 and 95.
So, 7p + 2 = 7 * 3 + 1 = 22, none of the answer choice.
The maximum possible value of p = 13 (as 6 * 17 = 102, out of range) then 6p = 6 * 13 = 78. So, 7p + 2 = 7 * 13 + 2 = 93, none of the answer choice.
Try other possible prime numbers less than 13. If p = 11, then 7p + 2 = 79, which is option B.

The correct answer is B.
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by LalaB » Mon Feb 06, 2012 9:34 am
7p+2=79
p=11 . P is a prime number, 6p is between 15 and 95

B is correct
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