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70% of students at a school joined the soccer club and 60% joined the

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Math Revolution GMAT Instructor
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70% of students at a school joined the soccer club and 60% joined the  [#permalink]

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New post 16 Jul 2018, 00:05
00:00
A
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E

Difficulty:

  35% (medium)

Question Stats:

66% (01:03) correct 34% (01:23) wrong based on 41 sessions

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[GMAT math practice question]

70% of students at a school joined the soccer club and 60% joined the baseball club. What percent of students joined both clubs?

1) 10% of students joined neither of the clubs.
2) 20 students joined both clubs

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Re: 70% of students at a school joined the soccer club and 60% joined the  [#permalink]

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New post 16 Jul 2018, 00:15
70% of students at a school joined the soccer club and 60% joined the baseball club. What percent of students joined both clubs?
we do not know NEITHER

1) 10% of students joined neither of the clubs.
so total having either or both = 100-10=90
both = S+B-90=70+60-90=40
suff

2) 20 students joined both clubs
we do not how much is total, so cannot find %
insuff

A
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Math Revolution GMAT Instructor
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Re: 70% of students at a school joined the soccer club and 60% joined the  [#permalink]

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New post 18 Jul 2018, 03:57
=>

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.

For questions related to 2x2 matrices and percentages, we need 3 percentages for sufficiency. Since the original condition gives us 2 percentages, we need 1 additional percentage to solve the problem.

As condition 1) gives information about a percentage, it is sufficient.

As condition 2) does not give information about a percentage, it is not sufficient.

Therefore, the answer is A.

Answer: A
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Re: 70% of students at a school joined the soccer club and 60% joined the &nbs [#permalink] 18 Jul 2018, 03:57
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70% of students at a school joined the soccer club and 60% joined the

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