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GMAT:Punch Of the Week (20-April-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

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  • 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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"Punch Of The Week" Team Members
Learnhub's Punch
This Week's Punches
Critical Reasoning

Democracy is the best form of government yet created. Therefore, we must be vigilant in its defense; that is, we must be prepared to defend the right to freedom. Because this right is fundamental to any progressive form of government, it is clear that democracy is better than any other form of government.

Which one of the following illustrates the same flawed reasoning as found in the passage?

(A) I never get a headache when I eat only Chinese food, nor when I drink only wine. But when I eat Chinese food and drink wine, I get a headache. So the combination of the two must be the cause of my headaches.

(B) The two times I have gone to that restaurant something bad has happened. The first time the waiter dropped a glass and it shattered all over the table. And after the second time I went there, I got sick. So why should I go there again something bad will just happen again.

(C) I would much rather live a life dedicated to helping my fellow man than one dedicated to gaining material possessions and seeing my fellow man as a competitor. At the end of each day, the satisfaction of having helped people is infinitely greater than the satisfaction of having achieved something material.

(D) I'm obsessed with volleyball; that's why I play it constantly. I train seven days a week, and I enter every tournament. Since I'm always playing it, I must be obsessed with it.

(E) In my academic studies, I have repeatedly changed majors. I decide to major in each new subject that I'm introduced to. Just as a bee lights from one flower to the next, tasting the nectar of each, I jump from one subject tothe next getting just a taste of each.
Problem Solving

\text{What is the product of the divisors of 432?}

A.864^{5}

B.432^{8}

C.216^{20}

D.216^{10}

\text{E.None of these}

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

Posted on 29-April-09

So,folks here are the correct answers

Critical Reasoning
The correct answer is D. The argument in the passage is circular (andfilled with non-sequiturs). It is incumbent on the writer to give evidence or support for the conclusion. In this argument, though, the writer first states that democracy is the best government, the rest is merely "noise," until he restates the conclusion.

Choice (A) is a reasonably valid causation argument-eliminate. (B) argues by generalization. Although it is of questionable validity, it is not circular because the conclusion, "it will happen again," is not stated, nor is it implicit in the premises-eliminate. (C) is not circular because the conclusion is mentioned only once-eliminate. (D) begins by stating, "I'm obsessed with volleyball." It does not, however, provide compelling evidence for that claim: training seven days a week, rather than indicating obsession, may be required for, say, members of the Olympic Volleyball Team. Further, the argument repeats the conclusion at the end. So it is $circular in the same manner as the original. Hence (D) is our answer.
Problem Solving
The correct answer is E.

\text{We have } 432 = 2^4 \times 3^3
So, total number of factors of 432 = 5×4 = 20.

Now for every factor (say p) of 432 there will be another factor (say q) of 432 such that their product i.e. p x q = 432. Since there are 20 factors when we multiply them we get 10 products with each product as 432.

Hence the product of all the factors is 432^{10}

Click here for the next week's Punch


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  1. rneve saidMon, 20 Apr 2009 07:37:51 -0000 ( Link )

    I think , CR’s ans is {D} , not so sure though !!

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  2. chetan2u saidMon, 20 Apr 2009 19:06:54 -0000 ( Link )

    cr-D.. reasoning in both cases follows : A therefore b; since B,must be A .........now for tougher part PS ans is E(its difficult to explain but ill try) .........first ill try and delete wrong ans: 432 =(2p4)(3p3) therefore if we multiply all divisors as asked – ratio of no of 2s to no of 3s =4:3 .........check ans 864p5=(432p5)(2p5) =(2p25)(3p15) ratio=25:15 or 5:3 not a correct ans ..........432p8=(2p32)(3p24) ratio=4:3 can be correct ..........216=(2p3)(3p3) ratio=1:1 C and D are wrong… E ofcourse can be correct ..........thus we have come down to 2 probable ans ..........however correct ans is 432p10…. ill try and explain the way sometime later(by the way 2p3=3times2

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  3. prateekflex saidWed, 22 Apr 2009 06:00:53 -0000 ( Link )

    Critical Reasoning Ans) D, since given reasoning & option D both start & end with same statement.

    Problem Solving Ans) E. Correct Answer is 432^10.

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  4. mansivanee saidThu, 23 Apr 2009 08:40:22 -0000 ( Link )

    Ans >E, 43210.

    My hypothesis:

    For any natural number m . if total number of divisors is a, then product of all divisors will be m ^(a/2).

    Ex. Number- 50, no. of divisor- 6, prouduct – 503

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  5. chetan2u saidSun, 26 Apr 2009 04:47:41 -0000 ( Link )

    for ps … we cud eliminate wrong ans if we didnt know the formula….. the formula mentioned above is correct m..... reason every divisor when multiplied by another divisor gives u the no. .... eg 20: divisors=1,2,4,5,10,20…. 20=120=210=45 so multiple of divisor=206/2 …incase of a no being sq eg 4.. divisors=1,2,4 multiple of div=4^(3/2)=4sqroot of 4=8

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  6. swagatata saidTue, 28 Apr 2009 18:10:20 -0000 ( Link )

    Regarding the Critical Reasoning Q : Answer is “D” The flaw reflected in the paragraph was recursive reasoning. For ex : A is true since B is true. But intrinsically B would have been true only if A is true. In the given options, consider ‘D’. It says, “since I am always playing it, I’m obsessed with it”. But obsession with volleyball itself means that playing it always.

    Regarding Problem Solving q : Answer is “E”. Since the product of all factors is 432^10 and not in any options.

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  7. i_m_wat_i_m saidWed, 29 Apr 2009 03:59:13 -0000 ( Link )

    option D for cirtical reasoning and E for the problem in quants

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  8. Sureshbala saidWed, 29 Apr 2009 13:35:29 -0000 ( Link )

    So,folks here are the correct answers

    Critical Reasoning
    The correct answer is D. The argument in the passage is circular (andfilled with non-sequiturs). It is incumbent on the writer to give evidence or support for the conclusion. In this argument, though, the writer first states that democracy is the best government, the rest is merely “noise,” until he restates the conclusion.

    Choice (A) is a reasonably valid causation argument—eliminate. (B) argues by generalization. Although it is of questionable validity, it is not circular because the conclusion, “it will happen again,” is not stated, nor is it implicit in the premises—eliminate. (C) is not circular because the conclusion is mentioned only once—eliminate. (D) begins by stating, “I’m obsessed with volleyball.” It does not, however, provide compelling evidence for that claim: training seven days a week, rather than indicating obsession, may be required for, say, members of the Olympic Volleyball Team. Further, the argument repeats the conclusion at the end. So it is $circular in the same manner as the original. Hence (D) is our answer.
    Problem Solving
    The correct answer is E.

    \text{We have } 432 = 2^4 \times 3^3
    So, total number of factors of 432 = 5×4 = 20.

    Now for every factor (say p) of 432 there will be another factor (say q) of 432 such that their product i.e. p x q = 432. Since there are 20 factors when we multiply them we get 10 products with each product as 432.

    Hence the product of all the factors is 432^{10}

    Click here for the next week’s Punch
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  9. mtripathy saidMon, 04 May 2009 09:57:04 -0000 ( Link )

    Can you pl elaborate how the total number of factors of 432 is 20? As I understood, there are 7 nos of factors.(4 nos 2 and 3 nos 3)

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  10. madhav singh saidMon, 04 May 2009 16:37:12 -0000 ( Link )

    let A=( 20+21+22+23+24) B=( 30+31+32+33). now, any member of AXB is a factor of 432 (for e.g. 22×3^2 i.e. 36) so, total no of factors= 5×4=20.

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  11. mtripathy saidFri, 08 May 2009 03:02:47 -0000 ( Link )

    Thanks

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