A) 7
B) 11
C) 13
D) 17
Correct Answer: D
Solution :
Ans. Let \[f(x)={{x}^{2}}+x+17\] Here, we will check each option one-by-one [a] \[f(7)={{7}^{2}}+7+17=73\] [b] \[f(11)={{11}^{2}}+11+17=149\] [c] \[f(13)={{13}^{2}}+13+17=199\] [d] \[f(17)={{17}^{2}}+17+17=323\] Here, 323 is not a prime number. Thus, required number is 17.
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