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Thread: solving w/o calculating?

  1. #1
    Within my grasp! infinityzero's Avatar
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    solving w/o calculating?

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    Is there a way to do this problem using logic and avoiding calculations, especially when running out of time? It'd be much appreciated. Thanks.

    The 1992 census found that city A had 18% fewer residents than city B. The 1994 census found that city A's population grew by 18% over 1992, while city B's population had remained the same.

    Col A: population of city A in 1994

    Col B: population of city B in 1994



    Ans: B
    I will win

  2. #2
    Within my grasp! comp's Avatar
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    hi infinity0,

    for this problem u have to calculate but u can make it easy by taking figures which will make your calculation fast n easy

  3. #3
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    u dont need to calculate since in 1992 pop. of B is higher A is lower to reach B's pop A's pop. should increase more than %18 this is because if B's pop is 100 A's is 82 18% of 100 is 18 but 18% of 82 is lesser so A's pop in 1994 is not 100 so the answer is B

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    Within my grasp! comp's Avatar
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    yes hace u got a way out for this problem

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    I believe you should put the problem down into equations. That should make such problems easier. Youll never get it, if you try to imagine the answer. Otherwise, it was an easy problem.
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    Within my grasp! comp's Avatar
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    If 72.42 = k(24+n/100) where k and n are positive integers and n <100 then k+n

    17
    16
    15
    14
    13

    another problem:

    Y X 7 + 6 Y = Y 7 X

    In the sum above ,if X and Y each denote one of the digits from 0 to 9 inclusive then X =

    9
    5
    2
    3
    1
    0
    Last edited by comp; 01-03-2006 at 08:06 AM. Reason: Automerged post

  7. #7
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    Quote Originally Posted by comp
    If 72.42 = k(24+n/100) where k and n are positive integers and n <100 then k+n

    17
    16
    15
    14
    13

    another problem:

    Y X 7 + 6 Y = Y 7 X

    In the sum above ,if X and Y each denote one of the digits from 0 to 9 inclusive then X =

    9
    5
    2
    3
    1
    0
    7242=2400k+kn

    k=3
    kn=42
    n=14
    k+n=17

    YX7
    +6Y
    ---
    Y7X


    x=0
    y=3

    107
    +63
    ---
    170
    Last edited by hace; 01-03-2006 at 10:53 AM. Reason: Automerged post

  8. #8
    Within my grasp! comp's Avatar
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    how u solved this problem ? Please explain.

    Another question about ur solution : ur sum shd be 370 instead of 170 as ur taking y =3 ?



    Quote Originally Posted by hace
    7242=2400k+kn

    k=3
    kn=42
    n=14
    k+n=17

    YX7
    +6Y
    ---
    Y7X


    x=0
    y=3

    107
    +63
    ---
    170

  9. #9
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    Quote Originally Posted by comp
    how u solved this problem ? Please explain.

    Another question about ur solution : ur sum shd be 370 instead of 170 as ur taking y =3 ?
    sorry you r right

    first clue is that there is no carry from tens to hundreds

    if we look only tens

    X
    6
    -
    7

    i thought at first X can be 1 if it is 1 then

    if we look at unit digits

    7
    Y
    -
    1 <<< X

    so Y is either -6 or 4 but if it is 4 then there is a carry so the whole calculation is wrong then

    I thought let X be zero I didnt tried numbers greater than 1 since if I had used it the same scenario occurs as it occured with X=1

    so X=0

    by looking tens

    X
    6
    -
    7

    since X=0 there should be a carry from unit digits


    7
    Y
    -
    0 <<<< X

    so Y can be -7 or 3 so naturally it is 3 then the sum becomes 10 one carry occurs it adds to tens then th whole calculation is correct

  10. #10
    Within my grasp! comp's Avatar
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    Thanks a lot , hace


    Quote Originally Posted by hace
    sorry you r right

    first clue is that there is no carry from tens to hundreds

    if we look only tens

    X
    6
    -
    7

    i thought at first X can be 1 if it is 1 then

    if we look at unit digits

    7
    Y
    -
    1 <<< X

    so Y is either -6 or 4 but if it is 4 then there is a carry so the whole calculation is wrong then

    I thought let X be zero I didnt tried numbers greater than 1 since if I had used it the same scenario occurs as it occured with X=1

    so X=0

    by looking tens

    X
    6
    -
    7

    since X=0 there should be a carry from unit digits


    7
    Y
    -
    0 <<<< X

    so Y can be -7 or 3 so naturally it is 3 then the sum becomes 10 one carry occurs it adds to tens then th whole calculation is correct

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