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If x > y, x < 6, and y > -3, what is the largest prime numbe
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09 Apr 2020, 01:46
09 Apr 2020, 01:46
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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
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09 Apr 2020, 05:59
09 Apr 2020, 05:59
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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
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Status:GRE Quant Tutor
Posts: 1141
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Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
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WE:Engineering (Computer Software)
Re: If x > y, x < 6, and y > -3, what is the largest prime numbe
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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
