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

Expert replies

Previous Topic Next Topic

BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Thu Jul 23, 2020 6:45 am

Timer

00:00

Answers

Stats

Difficulty—

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

Like this post

Source: Beat The GMAT — Problem Solving | Thu Jul 23, 2020 6:45 am

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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

by Brent@GMATPrepNow » Thu Jul 23, 2020 6:56 am

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

Brent Hanneson - Creator of GMATPrepNow.com

Like this post

gentvenus: Senior | Next Rank: 100 Posts; Posts: 59; Joined: Tue Oct 01, 2019 5:49 am

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

by gentvenus » Thu Jul 23, 2020 11:30 am

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.

Like this post

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8176; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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

by Scott@TargetTestPrep » Sun Jul 26, 2020 8:18 am

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review