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Carry It Over I (Part 1)

by Jim Jacobson on September 11th, 2010
4 comments
Jim Jacobson is a GMAT verbal expert who lives and works in Madison, WI. Visit Grockit for more test prep advice.
Posted in
  • GMAT Math
  • Probability
  • Problem Solving

One of the ways that the GMAT makes quantitative questions more challenging is by forcing you to carry over information from one type of environment to another.  This is most commonly seen in geometry questions, where the side of a triangle might also be a chord on a circle inscribed within a square, for example; because the test is going after your care and attention as much (or more) than it’s going after your math knowledge, carrying information over is a key skill.  This “Carry It Over” series will challenge you to transfer information from one type of problem to another, within the same problem.  Let’s start with this one; I’ll provide answer and explanation in the next installment:

Raj is working on a set of Data Sufficiency problems for his December GMAT: a geometry problem, an algebra problem, and a data interpretation problem. He has determined that statement 1 of the geometry problem is insufficient on its own, that both statement 1 and 2 of the algebra problem are insufficient on their own, and that statement 2 of the data interpretation problem is insufficient on its own. If the probabilities are expressed as percents, approximately how much greater is the probability that all three answers are “C” after Raj figures out that statement 1 of the data interpretation problem is also insufficient on its own?

A) 2.3%
B) 2.8%
C) 3.3%
D) 5.6%
E) 8.3%

So what do you think?  Provide your answers in the comments below and I’ll provide the full explanation in my next article.  Stay tuned!

If you liked this article, let Jim Jacobson know by clicking Like.

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4 comments

  • Gurpreet singh on September 11th, 2010 at 11:25 am

    Geometry : Statement 1 is insufficient => possible answers are BCE
    P(G_C) = 1/3 = probability of C for geometry.

    Algebra : both are insufficient on their own => Possible answers are C,E
    P(A_C) = 1/2 =probability of C for algebra.

    DI :
    CASE 1: Statement 1 is insufficient => Possible answers are BCE
    P(D_C_1) = 1/3 = probability of C for DI in case 1
    CASE 1: Statement 1 is insufficient => Possible answers are CE
    P(D_C_2) = 1/2 = probability of C for DI in case 2

    Total probability of Case 1 = P(G_C)*P(A_C)*P(D_C_1)
    [ Independent events]
    = 1/3 * 1/2 * 1/3 = 1/8

    Total probability of Case 2 = P(G_C)*P(A_C)*P(D_C_2)
    [ Independent events]
    = 1/3 * 1/2 * 1/2 = 1/12

    Increase in probability = 1/12 - 1/18 = (3-2)/36 = 1/36

    in %age ,1/36 = 100/36 % = 25/9 % = approx 2.8

    Hence the answer is B.

    Reply to this comment
  • Gurpreet singh on September 11th, 2010 at 11:25 am

    Geometry : Statement 1 is insufficient => possible answers are BCE
    P(G_C) = 1/3 = probability of C for geometry.

    Algebra : both are insufficient on their own => Possible answers are C,E
    P(A_C) = 1/2 =probability of C for algebra.

    DI :
    CASE 1: Statement 1 is insufficient => Possible answers are BCE
    P(D_C_1) = 1/3 = probability of C for DI in case 1

    CASE 1: Statement 1 is insufficient => Possible answers are CE
    P(D_C_2) = 1/2 = probability of C for DI in case 2

    Total probability of Case 1 = P(G_C)*P(A_C)*P(D_C_1)
    [ Independent events]
    = 1/3 * 1/2 * 1/3 = 1/8

    Total probability of Case 2 = P(G_C)*P(A_C)*P(D_C_2)
    [ Independent events]
    = 1/3 * 1/2 * 1/2 = 1/12

    Increase in probability = 1/12 - 1/18 = (3-2)/36 = 1/36

    in %age ,1/36 = 100/36 % = 25/9 % = approx 2.8

    Hence the answer is B.

    Reply to this comment
  • Abdur Ashique on September 13th, 2010 at 8:30 am

    Before:
    1/3 (Answer C out of B,C,E in geometry)
    x
    1/2 (Answer C out of C,E in algebra)
    x
    1/3 (Answer C out of A,C,E in Data interp.)
    is
    Equals: ( 1/3 x 1/2 x 1/3 ) = 1/18 = 8.3%

    After
    1/2 (Answer C out of C,E in Geometry)
    x
    1/2 (Answer C out of C,E in Algebra)
    x
    1/3 (Answer C out of A,C,E in Data Interp)
    is
    Equals: ( 1/2 x 1/2 x 1/3 ) = 1/12 = 5.5%

    8.3-5.5= *2.8%*

    Answer: B

    Reply to this comment
  • madhu on September 13th, 2010 at 12:07 pm

    nice approach....plz post some more questions

    Reply to this comment

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