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AbdurRakib
Joined: 11 May 2014
Last visit: 03 Mar 2026
Posts: 464
Given Kudos: 220
Status:I don't stop when I'm Tired,I stop when I'm done
Location: Bangladesh
Concentration: Finance, Leadership
Schools: Wharton '20 Yale '20 Tepper '20
GPA: 2.81
WE:Business Development (Real Estate)
05 Jun 2016, 14:14
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
59% (02:01) correct
41%
(02:05)
wrong
based on 335
sessions
History
Date
Time
Result
Not Attempted Yet
05 Jun 2016, 14:23
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If a + b + c < 0, is c < 1 ?
(1) c < a + b – 1. We can sum the inequalities with the signs in the same direction: (a + b + c) + c < 0 + a + b – 1 --> c < -1/2. Sufficient.
(2) a + b − 1 > 0. We can subtract inequalities with the signs in the opposite direction: (a + b + c) - (a + b − 1 )< 0 --> c < -1. Sufficient.
Answer: D.
(1) c < a + b – 1. We can sum the inequalities with the signs in the same direction: (a + b + c) + c < 0 + a + b – 1 --> c < -1/2. Sufficient.
(2) a + b − 1 > 0. We can subtract inequalities with the signs in the opposite direction: (a + b + c) - (a + b − 1 )< 0 --> c < -1. Sufficient.
Answer: D.
22 Oct 2018, 14:21
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AbdurRakib
Given: a + b + c < 0
Target question: Is c < 1?
Statement 1: c < a + b – 1
Take: a + b + c < 0
Subtract a and subtract b from both sides to get: c < -a - b
Now add this inequality to the statement 1 inequality: c < a + b – 1
We get: 2x < -1
Divide both sides by 2 to get: c < -1/2
If c < -1/2, then c is definitely less than 1
So, the answer to the target question is YES, x IS less than 1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: a + b − 1 > 0
Take: a + b − 1 > 0
Rewrite as: 0 < a + b - 1
Add c to both sides to get: c < a + b + c - 1
Add 1 to both sides to get: c + 1 < a + b + c
We already know that a + b + c < 0
So, we can add this info to our inequality to get: c + 1 < a + b + c < 0
This tells us that c + 1 < 0
Subtract 1 from both sides to get: c < -1
If c < -1, then c is definitely less than 1
So, the answer to the target question is YES, x IS less than 1
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
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