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If a < b, is a < c?
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Updated on: 22 Oct 2019, 23:17
Question Stats:
78% (01:23) correct 22% (01:16) wrong based on 101 sessions
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EMPOWERgmat DS Series: Pack 3, Question 1 If a < b, is a < c? (1) (a)(c) = 0 (2) a + b = 0 2 Week Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)Share your explanation! The GMAT Club member with the most verified Kudos in total on the 10 question PS & DS Block 3 question packs will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win. We have increased the contest window to 2 weeks from the posted date of the question  so that you can maximize your chances and answer all of the questions in each set! To be eligible, your explanation must be submitted within the 2 week window after this post was created and should explain your reasoning why the answer you chose is correct The OA will be held until a 1 week window has lapsed. Links to the entire list of Quant and Verbal questions can be found here: EMPOWERgmat Forum Contest!...
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Re: If a < b, is a < c?
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11 Oct 2019, 19:03
If a < b, is a < c? (1) (a)(c) = 0 This tells us that at least one of the two, a and c, is 0..(2) a + b = 0 a=b, and a<b tells us that both cannot be equal, so they cannot be 0. Now a<b, so b=a, that is, a is negative and b is positive...a<0 and b>0, but nothing about c. Combined.. a<0, but ac=0 tells us that c=0, so a<c C
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Re: If a < b, is a < c?
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11 Oct 2019, 21:29
EMPOWERgmatRichC wrote: EMPOWERgmat DS Series: Pack 3, Question 1 If a < b, is a < c? (1) (a)(c) = 0 (2) a + b = 0 (1) a x c = 0 which means atleast one of them is zero. Insufficient. (2) a = b and also a<b which means a is ve and b is +ve. No relations between a and c is found. Insufficient (1)+(2) If a is ve which means c has to be zero. Sufficient C is correct.



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Re: If a < b, is a < c?
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09 Nov 2019, 11:12
If a < b, is a < c?
(1) (a)(c) = 0 (2) a + b = 0 Statement 1 : a.c = 0, either a or c is 0. If c is 0 and a is 10, then a > c. again, if a = 2, c= 0, then a < c. so cannot determine whether a < c.
Statement 2: a + b = 0. Since a < b , so a must be a negative number. But we don't know if c is a 0, or positive or negative number. Not sufficient.
Together, a is negative and a*c = 0, so c is 0. Hence, a < c. Sufficient.
C is the correct answer.



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Re: If a < b, is a < c?
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09 Nov 2019, 11:27
If a < b, is a < c?
(1) (a)(c) = 0 (2) a + b = 0
Let's evaluate each choice. (i)Given a<b and ac=0. from this we can infer either a can be 0 or c can be 0. If one value is zero then other value can be anything so this one not sufficient. (ii) a+b=0, a<b from here we can say a=b; no info about c. So not sufficient.
Let's combine both and check: ac=0, a+b=0, a<b from these we can say that a cannot be 0, should be ve and c should be zero so we can conclude that a<c.




Re: If a < b, is a < c?
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09 Nov 2019, 11:27






