If da and L

Question

If d > a and L < a, which of the following cannot be true?

(A) d + L = 14 
(B) d - L = 7 
(C) d - L = 1 
(D) a - d = 9 
(E) a + d = 9

Kudos for a correct  solution .

abhinavgaur · Accepted Answer

Is the answer D?

If d>a, then d-a>0 (always positive). The converse would be a-d<0 (always negative). Option D states that a-d=9, which can never be true.

ManojReddy · Answer

If d > a and L < a, which of the following cannot be true?

Since d>a
a-d, cannot be positive.

Lets take some examples
d=5, a<5 :: 4.99-5 = -0.01 :: 4-5 = -1 :: -4-5 = -9
d=-4, a>-4 :: -4.01 -(-4) = -0.01 :: -9 -(-4) = -5

Ans:D

lipsi18 · Answer

Rearranging the above equation we get 
d-a>0 ---1
a-l>0 -----2
adding above equation we get,
d-l>0 ; hence, answer choice b and c can be possible
Equation 1 can be written as a-d<0 so option D ca not be possible.

Hence answer is D
Thanks,

vishwaprakash · Answer

d > a 
adding -d to both sides of inequality
 0 > a-d

Hence a-d is negative. Hence Option D cannot be correct

Bunuel · Answer

MANHATTAN GMAT OFFICIAL SOLUTION:

Simplify the inequalities, so that all the inequality symbols point in the same direction. Then, line up the inequalities as shown. Finally, combine the inequalities.
L < a
a < d 
Thus, L < a < d

Since d is a larger number than a, a — d cannot be positive.

Therefore, (D) cannot be true.

Saahiljeet · Answer

Hi,

If d>a, but if both the numbers are negative eg: d=-3, a=-12. Here d>a, but d-a=9
Considering previous posts, d-a is positive. Hence value of d-a is positive.

How can we say d-a can never be positive ?

This is true only if d>0 and a>0, but there is no such condition given here.
So what will be current answer for this ?

Bunuel · Answer

The solution says a — d cannot be positive, not d - a.

Nightfury14 · Answer

the question translated to L<a<d
Even if -ve value are considered a-d will always be -ve.
Ans D)

thapliya · Answer

I got confused by assuming that a,d and L are integers.
If they would have been integers, then even option C was correct.

JeffTargetTestPrep · Answer

Since d is greater than a, it is not possible for a - d to equal a positive number. For example, if d = 11 and a = 5, then a - d = -6. No matter what values are chosen for a and d, the difference a - d will always be positive.

Answer: D

Kinshook · Answer

Asked: If d > a and L < a, which of the following cannot be true? d > a > L (A) d + L = 14 (B) d - L = 7 (C) d - L = 1 (D) a - d = 9 Not possible since a < d ; a - d < 0 (E) a + d = 9 IMO D

A2D2 · Answer

Since d is greater than a, it is not possible for a - d to equal a positive number. For example, if d = 11 and a = 5, then a - d = -6. No matter what values are chosen for a and d, the difference a - d will always be positive.

Answer: D[/
For what values option C will be right

A2D2 · Answer

Since d is greater than a, it is not possible for a - d to equal a positive number. For example, if d = 11 and a = 5, then a - d = -6. No matter what values are chosen for a and d, the difference a - d will always be positive.

Answer: D[/
For what values option C will be right

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

If d>a and L<a, which of the following cannot be true?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

If d>a and L<a, which of the following cannot be true?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards