If x is an even integer and y is an odd integer, which of the following is even? (A) 3x + 4y - 1 (B) 3x + 3y - 2 (C) 4x + 4y + 1 (D) 4x + 3y + 2 (E) 4x + 3y + 1 Answer: E Source: GMAT prep

BTGModeratorVI wrote: ↑Thu Jul 23, 2020 6:45 am If x is an even integer and y is an odd integer, which of the following is even? (A) 3x + 4y - 1 (B) 3x + 3y - 2 (C) 4x + 4y + 1 (D) 4x + 3y + 2 (E) 4x + 3y + 1 Answer: E Source: GMAT prep Let's test a "nice" even integer for x (say x = 0) and a nice odd integer for y (say y = 1) We get.... (A) 3(0) + 4(1) - 1 = 3, which is ODD. (B) 3(0) + 3(1) - 2 = 1, which is ODD. (C) 4(0) + 4(1) + 1 = 5, which is ODD. (D) 4(0) + 3(1) + 2 = 5, which is ODD. (E) 4(0) + 3(1) + 1 = 4, which is EVEN. Answer: E Cheers, Brent

Trial and error: x = 0 y = 1 (A) 3(0) + 4(1) - 1 = 3 (B) 3(0) + 3(1) - 2 = 1 (C) 4(0) + 4(1) + 1 = 5 (D) 4(0) + 3(1) + 2 = 5 (E) 4(0) + 3(1) + 1 = 4, which is CORRECT.

BTGModeratorVI wrote: ↑Thu Jul 23, 2020 6:45 am If x is an even integer and y is an odd integer, which of the following is even? (A) 3x + 4y - 1 (B) 3x + 3y - 2 (C) 4x + 4y + 1 (D) 4x + 3y + 2 (E) 4x + 3y + 1 Answer: E Solution: Since x is even, 3x and 4x are both even. Since y is odd, 3y is odd and 4y is even. Therefore, 4x + 3y + 1 = even + odd + odd = even Answer: E

If x is an even integer and y is an odd integer, which of the following is even? - The Beat The GMAT Forum

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If x is an even integer and y is an odd integer, which of the following is even?

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