Last Updated on May 5, 2023
GMAT OFFICIAL GUIDE PS
Solution:
The problem is easiest to solve by substituting numbers for n. We’ll try an odd number first and then an even number.
For an odd number, let’s let n = 1: 1(1+1)(1+2) = 1(2)(3) = 6.
We see than choices A and C can’t be the correct choices. Choice A is false because, while the product is even, n is not even. Choice C is false because, while n is odd, the product is even.
For an even number, let’s let n = 2: 2(2+1)(2+2) = 2(3)(4) = 24.
We see than choices B and D can’t be the correct choices. Choice B is false because, while the product is even, n is not odd. Choice D is false because, while the product is divisible by 3, n is even.
Therefore, the only correct answer is choice E. When n is even, the product is indeed divisible by 4.
Answer: E
