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# Which of the following equations is sufficient to determine

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Which of the following equations is sufficient to determine  [#permalink]

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14 Apr 2018, 06:52
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65% (hard)

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51% (02:14) correct 49% (02:24) wrong based on 102 sessions

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GST Week 1 Day 5 Exampal Question 1

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Which of the following equations is sufficient to determine which of the five distinct integers represented on the number line above is closest to zero, given that the distance between every two adjacent integers is not shown to scale?

A. b + d = 2c

B. d = ‒a

C. c < ‒e

D. b = ‒d

E. a + b = ‒d ‒ e

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Screen Shot 2018-04-14 at 7.18.06 PM.png [ 11.37 KiB | Viewed 1461 times ]

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Re: Which of the following equations is sufficient to determine  [#permalink]

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14 Apr 2018, 07:26
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souvik101990 wrote:

GST Week 1 Day 5 Exampal Question 1

Give your best shot at writing a top notch application and you will have the chance to win GMAT Club tests daily and Exampal Premium GMAT Package. See the GMAT Spring Training Thread for all details

Which of the following equations is sufficient to determine which of the five distinct integers represented on the number line above is closest to zero, given that the distance between every two adjacent integers is not shown to scale?

A. b + d 2c

B. d ‒a

C. c < ‒e

D. b ‒d

E. a + b ‒d ‒ e

Attachment:
Screen Shot 2018-04-14 at 7.18.06 PM.png

Hi souvik101990
I think we are missing 'equal to' signs here. Correct me if I am wrong. Question should go like this:
A. b + d = 2c ---c is average of b and d. No info on no. closest to zero.
B. d = ‒a --- b or c can be closest so not sure.
C. c < ‒e -----Either d or e could be closest to zero. Not sufficient.
D. b = ‒d ----Only c can be closest to zero. Sufficient.
E. a + b = ‒d ‒ e ----Cannot determine since only sum is equal.

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Re: Which of the following equations is sufficient to determine  [#permalink]

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14 Apr 2018, 07:31
Thank you, souvonik2k, I fixed it.
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Re: Which of the following equations is sufficient to determine  [#permalink]

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14 Apr 2018, 08:53
A. b + d = 2c : Just says c is mid point of b and d. Any value can be closer to zero.

B. d = ‒a : Says a and d are equidistant from 0. But we still cannot be sure which among b,c is closer to zero.

C. c < ‒e : any of d,e can be closer

D. b = ‒d : b and d are equidistant from zero and c can be any value between b and d, which makes it closest to zero. -ANSWER

E. a + b = ‒d ‒ e : any of b,c,d can be closest to zero.

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Re: Which of the following equations is sufficient to determine  [#permalink]

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15 Apr 2018, 02:10

This is similar to a data sufficiency question of the type "Is X ..." . However, isn't very difficult to solve using POE.

A. Let's assume all the integers to be positive (b,d,c =2,5,8) - then "a" must be closest to 0. Now flip the assumption, all the integers are negative (b,d,c =-8,-5,-2) - then "e" must be closest to 0. Hence no clear answer. Reject

B. "d=-a" implies that 0 lies between the two. It could be ab or bc or cd - so we can't be sure of which is closest to 0. Reject

C. This is a little interesting. So either e>-e or -e>e (if e is negative). If -e>e, then 0 lies between them and hence closest to e. However, if e>-e , -e may lie between de or cd. . So 0 will also be between de or cd. No clear answer here. Reject

E. Let's assume e>0 and a,b,c,d<0, then the equation may hold true for a high value of e and 0 will be close to "d". Now let's flip this, a<0 and b,c,d,e>0. Then 0 will be closer to "b". Since no clear answer - Reject

D. b=-d so 0 lies between them. Now since 0 is equidistant from both b and d, it can't be closer to either one of them. Hence closest is c. Since we have a conclusive answer - Accept
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Re: Which of the following equations is sufficient to determine  [#permalink]

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17 Apr 2018, 21:13
souvonik2k - Congrats on nailing it. PM me to get your reward!
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Re: Which of the following equations is sufficient to determine   [#permalink] 17 Apr 2018, 21:13
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