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 x > y, x < 6, and y > -3, what is the largest prime numbe
[#permalink]
09 Apr 2020, 01:46
09 Apr 2020, 01:46
2
Expert Reply
7
Bookmarks
00:00
Question Stats:
31% (01:20) correct
68% (01:24) wrong based on 80 sessions
Hide Show timer Statistics
If x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?
A. 11
B. 13
C. 7
D. 5
E. 2
Kudos for the right answer and explanation
A. 11
B. 13
C. 7
D. 5
E. 2
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If x > y, x < 6, and y > -3, what is the largest prime numbe
[#permalink]
09 Apr 2020, 05:59
09 Apr 2020, 05:59
6
Carcass wrote:
If x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?
A. 11
B. 13
C. 7
D. 5
E. 2
Kudos for the right answer and explanation
A. 11
B. 13
C. 7
D. 5
E. 2
Kudos for the right answer and explanation
The key here is to recognize that the question does NOT state that x and y are integers
Given: -3 < y < x < 6
B) 13
Let's first see if there is a way for x + y to equal 13, the greatest answer choice
Since we are told that x and y are each less than 6, there is no way for their sum to equal 13
Eliminate answer choice B
A) 11
Now let's try the second greatest answer choice, 11
Is there a way for x + y to equal 11?
You bet.
If x =5.9 and y = 5.1, then x + y = 11
Answer: A
Cheers,
Brent
General Discussion
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: If x > y, x < 6, and y > -3, what is the largest prime numbe
[#permalink]
09 Dec 2023, 03:04
09 Dec 2023, 03:04
x > y, x < 6, and y > -3, what is the largest prime number that could be equal to x + y?
x < 6
=> Largest value of x can be very close to 6
Lets say x = 5.9
Now x > y and y > -3
=> y can be maximum equal to 5.8999
To make x + y largest prime number we can start by making x + y integer
=> y = 5.1
=> x + y = 5.9 + 5.1 = 11
We cannot get a bigger integer value of x and y as x < 6 and x > y
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Inequalities
x < 6
=> Largest value of x can be very close to 6
Lets say x = 5.9
Now x > y and y > -3
=> y can be maximum equal to 5.8999
To make x + y largest prime number we can start by making x + y integer
=> y = 5.1
=> x + y = 5.9 + 5.1 = 11
We cannot get a bigger integer value of x and y as x < 6 and x > y
So, Answer will be A
Hope it helps!
Watch the following video to learn the Basics of Inequalities
