OEThe greatest common divisor is the highest common factor among the two numbers.
Since n is a prime number, hence the highest common divisor of (𝑛 + 5) and (𝑛 + 5)^2 will be (𝑛 + 5)
For example, if 𝑛 = 2, then 𝑛 + 5 = 7. Hence(𝑛 + 5)^2 = 7^2
Thus, between 7 and 7^2, the greatest common divisor we can see is 7 which is the value of 𝑛 + 5
Ans. (D)
IF you followed the links at the bottom of the question you would see the theory about primes and divisibility
https://gre.myprepclub.com/forum/gre-ma ... 29264.html