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If d>a and L<a, which of the following cannot be true?
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23 Jun 2015, 23:48
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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.
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Re: If d>a and L<a, which of the following cannot be true?
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24 Jun 2015, 02:11
Is the answer D?
If d>a, then da>0 (always positive). The converse would be ad<0 (always negative). Option D states that ad=9, which can never be true.



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Re: If d>a and L<a, which of the following cannot be true?
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24 Jun 2015, 02:11
If d > a and L < a, which of the following cannot be true?
Since d>a ad, cannot be positive.
Lets take some examples d=5, a<5 :: 4.995 = 0.01 :: 45 = 1 :: 45 = 9 d=4, a>4 :: 4.01 (4) = 0.01 :: 9 (4) = 5
Ans:D



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Re: If d>a and L<a, which of the following cannot be true?
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24 Jun 2015, 10:00
Rearranging the above equation we get da>0 1 al>0 2 adding above equation we get, dl>0 ; hence, answer choice b and c can be possible Equation 1 can be written as ad<0 so option D ca not be possible.
[ This can also be solved by taking example where we have d>a>l , and cross verify ]
Hence answer is D Thanks,



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Re: If d>a and L<a, which of the following cannot be true?
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26 Jun 2015, 08:07
Bunuel wrote: 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. d > a adding d to both sides of inequality 0 > ad Hence ad is negative. Hence Option D cannot be correct



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Re: If d>a and L<a, which of the following cannot be true?
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29 Jun 2015, 06:15
Bunuel wrote: 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. 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.
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Re: If d>a and L<a, which of the following cannot be true?
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15 Jul 2016, 06:54
Hi,
If d>a, but if both the numbers are negative eg: d=3, a=12. Here d>a, but da=9 Considering previous posts, da is positive. Hence value of da is positive.
How can we say da 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 ?



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Re: If d>a and L<a, which of the following cannot be true?
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15 Jul 2016, 07:29
Saahiljeet wrote: Hi,
If d>a, but if both the numbers are negative eg: d=3, a=12. Here d>a, but da=9 Considering previous posts, da is positive. Hence value of da is positive.
How can we say da 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 ? The solution says a — d cannot be positive, not d  a.
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Re: If d>a and L<a, which of the following cannot be true?
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15 Jul 2016, 07:58
Bunuel wrote: 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. the question translated to L<a<d Even if ve value are considered ad will always be ve. Ans D)
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Re: If d>a and L<a, which of the following cannot be true?
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20 Jul 2016, 14:06
I got confused by assuming that a,d and L are integers. If they would have been integers, then even option C was correct.



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Re: If d>a and L<a, which of the following cannot be true?
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29 Jan 2018, 10:55
Bunuel wrote: 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 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
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