A) 161
B) 171
C) 173
D) 221
Correct Answer: C
Solution :
Since, \[161<{{(13)}^{2}}\] If 161 is a prime number, then this is not divisible by any of the numbers, 2, 3, 5, 7, 77. 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 numbers 2, 3, 5, 7, 11, 13. 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, 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, 13. But it is divisible by 13. Hence, 221 is not a prime number.
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