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BostonTC2018
Updated on: 09 May 2021, 13:03
Originally posted by BostonTC2018 on 09 May 2021, 13:00.
Last edited by BostonTC2018 on 09 May 2021, 13:03, edited 1 time in total.
Last edited by BostonTC2018 on 09 May 2021, 13:03, edited 1 time in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
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Question Stats:
57% (01:28) correct
43%
(01:23)
wrong
based on 105
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If ab cannot equal 0, what is the value of 2b/a?
(1) a^2 − 4b^2 = 0
(2) b = 2
(1) a^2 − 4b^2 = 0
(2) b = 2
BostonTC2018
Updated on: 09 May 2021, 15:09
Originally posted by BostonTC2018 on 09 May 2021, 13:03.
Last edited by BostonTC2018 on 09 May 2021, 15:09, edited 1 time in total.
Last edited by BostonTC2018 on 09 May 2021, 15:09, edited 1 time in total.
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Kaplan Answer:
Analyze the Question Stem:
This is a Value question. ab≠ 0, which means that neither a nor b is 0. Since the value of is simply the value of b/a multiplied by 2, we can simplify the question to "what is the value of b/a?". For sufficiency we must determine the individual values of a and b, or else we must determine the quotient of b/a. Remember: when a question asks about the relationship between 2 variables, we only need to determine the value of the relationship for sufficiency.
Evaluate the Statements:
Statement (1): If we move the expression of b to the right side of the equation, we see that a2 = 4b2. We have one equation and two variables, so we can not determine the individual values of a and b. If we try to rearrange the equation to look like b/a (by dividing both sides by a2 and 4) we get 1/4 = b2/a2. It may be tempting to take the square root of both sides to get b/a, but all we know about a and b is that they do not equal 0. Either could be positive or negative, which would give us different values for b/a. The statement is Insufficient. Eliminate choices (A) and (D).
Statement (2): The statement provides a value for b, but no information about a. This statement is also Insufficient. Eliminate choice (B).
Combined: Even when considered together, the statements are Insufficient. Plugging the value of b from Statement (2) into the equation from Statement (1) we get a2 = 4(22) or a2 = 16. a could be 4 or –4, giving us two possible values for b/a: 2/4 or 2/(-4). Answer Choice (E) is correct.
Analyze the Question Stem:
This is a Value question. ab≠ 0, which means that neither a nor b is 0. Since the value of is simply the value of b/a multiplied by 2, we can simplify the question to "what is the value of b/a?". For sufficiency we must determine the individual values of a and b, or else we must determine the quotient of b/a. Remember: when a question asks about the relationship between 2 variables, we only need to determine the value of the relationship for sufficiency.
Evaluate the Statements:
Statement (1): If we move the expression of b to the right side of the equation, we see that a2 = 4b2. We have one equation and two variables, so we can not determine the individual values of a and b. If we try to rearrange the equation to look like b/a (by dividing both sides by a2 and 4) we get 1/4 = b2/a2. It may be tempting to take the square root of both sides to get b/a, but all we know about a and b is that they do not equal 0. Either could be positive or negative, which would give us different values for b/a. The statement is Insufficient. Eliminate choices (A) and (D).
Statement (2): The statement provides a value for b, but no information about a. This statement is also Insufficient. Eliminate choice (B).
Combined: Even when considered together, the statements are Insufficient. Plugging the value of b from Statement (2) into the equation from Statement (1) we get a2 = 4(22) or a2 = 16. a could be 4 or –4, giving us two possible values for b/a: 2/4 or 2/(-4). Answer Choice (E) is correct.
hykhan
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09 May 2021, 13:14
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How does having two possible solutions in statement 1 make it sufficient?
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