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20 Mar 2017, 03:41
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
64% (01:04) correct
36%
(01:31)
wrong
based on 272
sessions
History
Date
Time
Result
Not Attempted Yet
In the x-y plane there is a line K, (x/a)+(y/b)=1. What is the x-intercept of line K?
1) a=b
2) a=1
1) a=b
2) a=1
20 Mar 2017, 05:18
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for a line k: (x/a)+(y/b)=1, x- intercept will be a
to find exact value. we need the value of a
St 1: a=b. no fixed value can be interpreted. INSUFFICIENT
St 2: a = 1. ANSWER
Option B
to find exact value. we need the value of a
St 1: a=b. no fixed value can be interpreted. INSUFFICIENT
St 2: a = 1. ANSWER
Option B
Updated on: 03 Jul 2020, 08:06
Originally posted by BrentGMATPrepNow on 20 Mar 2017, 07:53.
Last edited by BrentGMATPrepNow on 03 Jul 2020, 08:06, edited 1 time in total.
Last edited by BrentGMATPrepNow on 03 Jul 2020, 08:06, edited 1 time in total.
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MathRevolution
Target question: What is the x-intercept of line K?
This is a great candidate for rephrasing the target question.
Given: (x/a) + (y/b) = 1
The x-intercept is the value of x that satisfies the equation when y = 0
So, plug y = 0 into the equation to get: (x/a) + (0/b) = 1
Simplify: x/a = 1
So, x = a
In other words, given the equation (x/a) + (y/b) = 1, the x-intercept will be a
REPHRASED target question: What is the value of a?
----now onto the question!!------------
Statement 1: a = b
Since we don't know the value of b, we can't determine the value of a
Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: a = 1
PERFECT!
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer: B
