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M60-02

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M60-02  [#permalink]

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New post 11 Jun 2018, 02:05
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Question Stats:

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The symbol \(⊙\) represents one of the operations: addition, subtraction, multiplication, and division. Is \(2⊙2=4?\)

1) \(1⊙1=1\)

2) \((-1) ⊙ (-1)=0\)

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Re M60-02  [#permalink]

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New post 11 Jun 2018, 02:05
Official Solution:



Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question, and then recheck the question.

Since only 2 + 2 = 4 and 2 * 2 = 4, the question asks if ⊙ is addition or multiplication.

Condition 1) Since 1 * 1 = 1 and 1 / 1 = 1, ⊙ is multiplication or division. Condition 1) is not sufficient.

Condition 2) Since (-1) - (-1) = 0, ⊙ is subtraction. The answer is "no". CMT1 states that "no" is also an answer. Condition 2) is sufficient.



Answer: B
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Re M60-02  [#permalink]

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New post 18 Jan 2019, 02:02
I think this is a high-quality question and I agree with explanation.
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Re: M60-02  [#permalink]

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New post 16 May 2019, 11:38
Good explanation
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Re: M60-02  [#permalink]

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New post 29 Aug 2019, 23:06
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I was under the impression that the conditions for data sufficiency questions would never contradict one another; if ⊙ is multiplication or division per 1, but subtraction per 2, isn't the question aporetic?
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New post 29 Aug 2019, 23:11
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Re: M60-02  [#permalink]

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New post 29 Aug 2019, 23:12
I'M GONNA SUE


(thanks bunuel :) )
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Re: M60-02   [#permalink] 29 Aug 2019, 23:12
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