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11 Aug 2016, 06:48
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:34) correct
18%
(01:44)
wrong
based on 179
sessions
History
Date
Time
Result
Not Attempted Yet
Updated on: 05 Mar 2021, 10:42
Originally posted by BrentGMATPrepNow on 11 Aug 2016, 07:32.
Last edited by BrentGMATPrepNow on 05 Mar 2021, 10:42, edited 1 time in total.
Last edited by BrentGMATPrepNow on 05 Mar 2021, 10:42, edited 1 time in total.
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Bunuel
Target question: Does x = 3
Given: x + y = 8
Statement 1: 2x + z = 8
No information about z.
So, statement 1 is NOT SUFFICIENT
NOTE: If we're not quite convinced that statement 1 is not sufficient, we might TEST some values.
Case a: x = 1, y = 7, and z = 6 (satisfies the given info AND statement 1). In this case x = 1
Case b: x = 0, y = 8, and z = 8 (satisfies the given info AND statement 1). In this case x = 2
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 3y − 4z = 7
Once again, we have no information about z.
So, statement 2 is NOT SUFFICIENT
ONCE AGAIN, if we're not quite convinced that statement 1 is not sufficient, we might TEST some values.
Case a: x = 7, y = 1, and z = 1 (satisfies the given info AND statement 2). In this case x = 7
Case b: x = 3, y = 5, and z = 2 (satisfies the given info AND statement 2). In this case x = 3
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Given: x + y = 8, which means y = 8 - x
Statement 2: 3y − 4z = 7. Replace y with 8 - x to get: 3(8 - x ) - 4z = 7
Simplify to get: -3x - 4z = -17
Statement 1: 2x + z = 8
Since we now have two equations with 2 variables (-3x - 4z = -17 and 2x + z = 8), AND those 2 equations are not equivalents, we COULD solve this system for x, which means we COULD answer the target question.
Since we COULD answer the target question with certainty, the combined statements are SUFFICIENT
Answer = C
AbdurRakib
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11 Aug 2016, 07:52
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Bunuel
(1) 2x + z = 8; here three equation required to solve the equation,but we have two only(along with x+y=8) ,Not Sufficient
(2) 3y − 4z = 7 ; here three equation required to solve the equation,but we have two only(along with x+y=8) ,Not Sufficient
(1) + (2) Now we have total three equation ,So we can easily get three individual value(x,y and z).Sufficient
Correct Answer C
