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Online CAT 2009: Punch Of the Week (04-July-09)

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What is "Punch Of The Week"?
  • Every week Learnhub's team will post one question each on Verbal Ability and Quantitative Ability of the GMAT Test Preparation

  • Members can post their answers along with explanations for the next one week.

  • After one week, Learnhub's team will post the official answer along with the explanation.Besides answering the previous week's questions, Learnhub's Team will come up with the next set of questions for that week as well.
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Critical Reasoning
Ten years after graduation, men and women who had participated in the Thompson High School basketball program were surveyed with regard to their individual playing records for their teams. Some of the results of the survey were curious. Seventyfive percent of those responding reported that they had started for their respective boys' or girls' teams, when the actual number of boys and girls who had started for their teams was only 50%. Which one of the following provides the most helpful explanation for the apparent contradiction in these survey results?

(A) A very small number of those responding were incorrect in reporting that they held starting positions.
(B) A disproportionately high number of players who started for their teams responded to the survey.
(C) Not all starting players responded to the survey.
(D) Almost all men and women who played basketball for Thompson High School ten years earlier responded to the survey.
(E) Not all good basketball players started for their teams; some good players were deliberately held out to play later in the game.


Quantitative Ability
The incomes of A and B are in the ratio 4:5 and their expenditures are in the ratio of 5:6. If A saves 1/4th of his income find the ratio of their savings.

A. 7:5
B. 6:5
C. 5:6
D. 5:7
E. 5:4

Click here for last week's Punch and explanatory answers for the same

Posted on 14-July-09

So,folks here are the correct answers

Critical Reasoning
The correct answer is B.

If all of the men and women who had played basketball for Thompson High School ten years earlier had responded to the survey, then the results would indeed contradict the facts. However, if a disproportionately higher number of starting players responded to the survey, then the apparent contradiction can be easily explained. If only four people responded to the survey and three of them were in fact starting players, then 75% of those responding were starters. This would explain the apparent contradiction. The answer is (B).
Quantitative Ability
The correct answer is D.

Let the incomes of A and B be 4x and 5x respectively.
Also, let the expenditures of A and B be 5y and 6y respectively.
So the savings of A = 4x - 5y
Given that 4x - 5y = ¼ (4x)
Hence 3x = 5y
Now the ratio of savings of A and B is 4x - 5y : 5x - 6y = x : 5x - 6(3/5)x = 5 : 7
Hence, option (D)

Click here for the next week's Punch

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  1. scorpion_gal saidSun, 05 Jul 2009 08:31:46 -0000 ( Link )

    cr: b, qa:d

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  2. muntun_kumar2204 saidMon, 06 Jul 2009 17:53:34 -0000 ( Link )

    in first q actually majority of respondent must be those who started were surveyed so the option B

    in q 2 ratio=5/7 so option D is the answer

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  3. amit4aka saidTue, 07 Jul 2009 05:01:51 -0000 ( Link )

    ans: for cr is option (e) ans: for qa is option (d)

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  4. bhumi14 saidTue, 07 Jul 2009 08:37:08 -0000 ( Link )

    ans are c & d respectively

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  5. imaya saidTue, 07 Jul 2009 12:58:31 -0000 ( Link )

    Cr: d Qa: d

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  6. ankitc saidTue, 07 Jul 2009 16:07:21 -0000 ( Link )

    cr:c qa:d

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  7. spg saidThu, 09 Jul 2009 10:38:39 -0000 ( Link )

    ans to qa is option d i.e. 5:7

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  8. sonal chauhan saidThu, 09 Jul 2009 16:49:31 -0000 ( Link )

    the ans for qa is option©

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