GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If g and h are both odd integers, which of the following must also be
[#permalink]
09 Apr 2022, 07:25
09 Apr 2022, 07:25
Expert Reply
00:00
Question Stats:
77% (00:34) correct
22% (00:14) wrong based on 9 sessions
Hide Show timer Statistics
If g and h are both odd integers, which of the following must also be an odd integer?
A. g/h
B. (g + h)²
C. hg + h
D. (g - h)²
E. (gh)³
A. g/h
B. (g + h)²
C. hg + h
D. (g - h)²
E. (gh)³
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If g and h are both odd integers, which of the following must also be
[#permalink]
09 Apr 2022, 07:35
09 Apr 2022, 07:35
1
Carcass wrote:
If g and h are both odd integers, which of the following must also be an odd integer?
A. g/h
B. (g + h)²
C. hg + h
D. (g - h)²
E. (gh)³
A. g/h
B. (g + h)²
C. hg + h
D. (g - h)²
E. (gh)³
The fastest approach, in my opinion, is to replace g and h with two convenient odd numbers.
The easiest odd numbers to work with are g = 1 and h = 1.
Plug these values in answer chances choice to get:
A. g/h = 1/1 = 1. Odd. Keep.
B. (g + h)² = (1 + 1)² = 4. EVEN. ELIMINATE.
C. hg + h = (1)(1) + 1 = 2. EVEN. ELIMINATE.
D. (g - h)² =(1 - 1)² = 0. EVEN. ELIMINATE.
E. (gh)³ = ((1)(1))³ = 1³ = 1. Odd. Keep.
At this point, we can quickly show that answer choice A (g/h) need not be an integer.
For example, if g = 1 and h = 3, then g/h = 1/3, which is not an odd number, which means we can eliminate answer choice A.
By the process of elimination, the correct answer is E.
gmatclubot
Re: If g and h are both odd integers, which of the following must also be [#permalink]
09 Apr 2022, 07:35
Moderators:
