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Last Updated on May 3, 2023
GMAT OFFICIAL GUIDE PS
Solution:
We see that n can be ANY PRIME NUMBER GREATER THAN 3. Let’s choose the smallest prime number greater than 3 and substitute it for n; that number is 5.
We know that 5 squared is 25, so we now divide 25 by 12:
25/12 = 2, Remainder 1.
If you are not convinced by trying just one prime number, try another one. Let’s try 7. We know that 7 squared equals 49, so we now divide 49 by 12:
49/12 = 4, Remainder 1.
It turns out that in this problem it doesn’t matter which prime number (greater than 3) we choose. The remainder will always be 1 when its square is divided by 12.
Answer: B
