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Thread: GMAT Weekly Math Quest - May 10, 2009

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    The Keeper of Grounds Hagrid's Avatar
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    GMAT Weekly Math Quest - May 10, 2009

    Difficulty Level : High
    Time to Solve : <60 secs


    Please discuss your approach and also provide time you took to solve the question. OA will be posted only when enough people have outlined their approach.


    Q. What is the sum of digits of the number N given by N = 10^35 - 75?

    A) 313
    B) 295
    C) 372
    D) 304
    E) None of these




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  2. #2
    Just starting GMAT Prep paneer's Avatar
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    Choice D; took 20 seconds

    there are 35-2 9s in 10^35 - 75 and a 2 and a 5

    so the answer is 9*33+2+5 = 304


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    Just starting GMAT Prep pssohal's Avatar
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    d

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    Just starting GMAT Prep lsimmons's Avatar
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    I will go with D. Its 304. Took 70 minutes. hopefully the rigth answer

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    Just starting GMAT Prep Pursuit_Of_Happyness's Avatar
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    Answer: D

    Say 10^5 - 75 = 99925. Therefore substract 2 digits from raise to power i.e. 35.

    9 x 33 + 2 + 5 = 304

    Time: 15 sec

  6. #6
    Just starting GMAT Prep 700gal's Avatar
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    My ans is 295

    10^35 - 75

    9*32 + 2 +5 = 295

    u will be left wid 32 9's not 33

    eg; consider 1000-75 = 925
    ie there will be only 1 nine coz 1 will be gone off as a borrow

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    Just starting GMAT Prep ohwell's Avatar
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    Nope, it has to be d. Explanation already provided in multiple places.
    1000-75 = 925
    10000-75=9925
    100000-75=99925
    etc etc

    3 zeros yields 1 nine
    4 zeros yields 2 nines
    5 zeros yields 3 nines
    etc etc
    difference is 2.

    In other words, 10^35 -75 has 33 9's.

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    Just starting GMAT Prep 700gal's Avatar
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    yeah i figured tht out after submitting

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