A) 161
B) 171
C) 173
D) 221
Correct Answer: A
Solution :
(A) \[161<{{(13)}^{2}}\] If 161 is a prime number, then this is not divisible by any of the numbers 2, 3, 5, 7 and 11, but 161 is divisible by 7. Hence 161 is not a prime number. (B) \[171<{{(14)}^{2}}\] For prime number 171, is not divisible by any of the number 2 3, 5, 7, 1113. But it is divisible by 3. Hence, 171 is not a prime number. (C) \[173<{{(14)}^{2}}\] For prime number 173 is not divisible by any of the numbers 2 3, 5, 7, 11 and 13. Hence, 173 is a prime number. (D) \[221<{{(15)}^{2}}\] For prime number 221, is not divisible by any of the numbers 2 3, 5, 7, 11 and 13. But it is divisible by 13. Hence, 221 is not a prime number.
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