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Top 100 Interview Questions & Answers in a convenient and easy to read book!

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  1. Submitted By: webmaster — October 11, 2006
    -28 votes
      + -

    Most people would probably answer that Mike has $21 and Todd has $1. However, that would add up to 22.

    The correct answer is that Mike has $20.50 and Todd has $.50.

    You can use algebra to figure this one out.

  2. Submitted By: arpan — October 15, 2006
    +55 votes
      + -

    Mike has $20, Todd initially has $21. Todd keeps all his money on the table between them. Hence, now Todd has nothing, Mike has $20 more than Todd, and they have $21 between them i.e on the table between them.

  3. Submitted By: Debadyuti Banerjee — October 30, 2006
    -15 votes
      + -

    Well said arpan

  4. Submitted By: paul — December 30, 2006
    -80 votes
      + -

    Mike has $20. Todd has $1.

    Together they have $21. Mike has $20 more than Todd’s $1.

  5. Submitted By: Liang Chen — March 7, 2007
    -17 votes
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    M: Mike monay
    T: Todd money

    M - T = 20
    M + T = 21

    ==> M=20.5, T=0.5

  6. Submitted By: Tom — March 9, 2007
    +2 votes
      + -

    I agree that the 20.50 and .50 makes the most since. But it clearly states that you cannot use fractions. I find it hard to believe that because we are using decimals its okay.

  7. Submitted By: Tom — March 9, 2007
    -1 votes
      + -

    and by since i mean sense.

  8. Submitted By: Mario — March 21, 2007
    -10 votes
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    - let Tom have x dollars.
    Therefore Mike has 20 + x.

    let y be the combined difference
    y = ( Tom + Mike ) - Tom
    y = ( (20+x) + (x) ) - x
    y = 20+2x -x
    y = 20 + x
    21 = 20 + x
    x = 1

    Therefore Tom has $1
    Mike Has $21
    Combined they have $22

  9. Submitted By: Tik — May 20, 2007
    +21 votes
      + -

    Mike has 2050 cents and Todd has 50 cents. No fractions or decimals ;-) Just changing the units sometimes helps. This is similar to how using radians instead of degrees for measuring angles, sometimes makes calculations easier. In this case, it is just a trick to get around the “no fractions” condition.

  10. Submitted By: ACL — September 15, 2007
    not yet rated
      + -

    If arpan’s (2) answer is correct then I can interpret the question slightly differently and come up with a different answer.

    Todd has $1 in his pocket and Mike has $21 which is on the table between them.

    So I believe Tik’s (11) makes most sense.

  11. Submitted By: S — October 2, 2007
    +4 votes
      + -

    Look at the condition carefully, “Mike has $20 more than Todd. How much does each have given that combined they have $21 between them.” , so if they combine both, each of them has $21 when divided between them so the answer is Todd has 11 and and the other has 31.

    So between them they will have $21(total 42) when combined

  12. Submitted By: Shane — October 23, 2007
    -3 votes
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    Mike has $21 and Todd has nothing. Mike has $20 more than Todd.

  13. Submitted By: John Ma — January 20, 2008
    -4 votes
      + -

    “Mike has $20 more than Todd. How much does each have given that combined they have $21 between them. You can’t use fractions in the answer.”

    Let x = Todd. That would mean Mike has x + 20. So x + x + 20 = 21, which means 2x = 1, and x = .5

    Mike has $20.50 and Todd has $0.50

  14. Submitted By: JNR BSHP — April 11, 2008
    +3 votes
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    NO FRACTIONS. DECIMALS ARE FRACTIONS….SEPARATIONS OF A WHOLE…

    S - WAS RIGHT

    THE TWO HAVE $21 “BETWEEN THEM”, AS IN BETWEEN THE TWO OF THEM THEY BOTH HAVE $21 TO SPEND

    21 X 2 = 42
    31 + 11= 42

    MIKE HAS $31, TODD HAS $11

  15. Submitted By: EM — August 11, 2008
    not yet rated
      + -

    @JNR BSHP:
    “Between the two of them” means “altogether”.
    If Bob has $2 and Fred has $3, then between them they have $5.

    Therefore, if Mike has $31 and Todd has $11, then between them they have $42, not $21.

    …and fractions aren’t decimals. Decimals and fractions are two different ways of displaying separations of a whole. It only asked for no fractions. It didn’t mention decimals.

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