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Problem Solving (PS) | A function g(n), where n is an integer, is defined as the product of

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jfranciscocuencag wrote:

Dillesh4096 wrote:
Bunuel wrote:
A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?

g(11) + 5; g(11) + 6; g(11) + 7; and g(11) + 8?


A. 1
B. 2
C. 3
D. 4
E. None


g(n) = 1*2*3.....*n = n!
--> g(11) = 11!

Note: Observe that g(11) = 11! can be written as 5A or 6B or 7C or 8D, where A,B,C & D are positive integers
g(11) + 5 = 5A + 5 = 5(A + 1) -->Not Prime
g(11) + 6 = 6B + 6 = 6(B + 1) -->Not Prime
g(11) + 7 = 7C +
...

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