Grand Quiz Question #13

The 13th Question of the #-Link-Snipped-# is as follows -

[Worth 15 CE Coins]

Q. Fill numbers from 0 to 9 in the boxes below.

13


Rules are:

1. None of the digits can be repeated in the boxes.

2. The boxes that have letters a, b, c and d can't have the digit '0'

Information Given -

a (across) - W's age.

a (down) - Sum of the three ages in c - across
b (down) - Y's age
c (across) - Sum of ages of W, X, Y, Z
c (down) - Z's age
d (across) - X's age

Show the numbers in the boxes and tell us whose age among, W, X, Y and Z was not written in a down?
And yeah, tell us your approach in finding the solution!

---------------------------------------------------------------
Fastest to answer correctly wins!


Replies

  • Ambarish Ganesh
    Ambarish Ganesh
    Largest possible age: 98
    2nd largest : 87
    then 76, 65, 54, 43, 32, 21, 10. 10 is the least possible age.

    Trying 87 and 76, we get the other ages as 23 and 30, with 1 in the middle box.

    13

    Left the blue ones out!
    The ages of X and W were not written in a down!(from question) ๐Ÿ˜•
  • Gandalf
    Gandalf
    -----------
    | 4 | 1 | 6 |
    | 2 | 0 | 3 |
    | 9 | 5 | 7 |

    a and c got to be 1 and 2 since some of all would not exceed 298 and given the sum conditions
    16 + 63 + 29 + 95 = 203
    29 + 63 + 13 = 105


    i have not used 8 in my solution
    x and w are not written in down
  • Anil Jain
    Anil Jain
    - | a | b |
    c | - | - |
    d | - | - |


    Given that a, c , d, c, can not be 0;
    For the rules its aparent that a, b , c, d are two digits ages only,
    Now, C has to be less than 399+; again, C is sum of all four ages and a is sum of 3 ages, so a is less than c
    Hence C has to be 2 and a has to be 1


    Now as c = W+X+Y+Z which is a three digit figure, so ony following combination seems possible which will satisfy all the conditions****




    - | 1 | 6 |
    2 | 0 | 0 |
    9 | 5 | - |


    Hence:




    w=16
    x=95
    y=60
    z=29
    c (Across)=w+x+Y+z = 200
    a (Down)=W=Y+Z = 105


    Hence w and x are written across.


    -CB
  • silverscorpion
    silverscorpion
    |-|1|6|
    |2|0|4|
    |9|7|-|

    The middle number is common between C-across and A-down. This means that the difference between the sum of 4 ages and that of 3 ages is in the nineties.
    The maximum it can be is 98, (since digits should not be repeated).

    But whatever the case, we can see that D-across is where that left out age will come.
    Nevertheless, how much ever I try, I can't seem to accurately fill the boxes. There is a difference of 2 between the actual sum of 4 ages and C-across in the previous box.

    i.e., 29 + 97 + 16 + 64 = 206, whereas C-across is 204.

    This is the closest approx. i could come up with.
    So, to answer the question, X's age was left out in A-down.
  • Ankita Katdare
    Ankita Katdare
    This question has been declared as invalid.
    I apologize to all the participants.
    This is one of my biggest goof-ups till date.
    Coins of this question will not be credited to anyone.

    I feel ashamed of my activity. ๐Ÿ˜”

    PS: I again say sorry for behaving in a crude manner is preparing this question. ๐Ÿ˜ญโ€‹





You are reading an archived discussion.

Related Posts

Hello, I started this thread because I really want to hear from older engineers, especially those who've done product development (mechanical, electromechanical, mechatronics, electrical), and software development. On any given...
Do you think that akash tablets are a revolution in tablet pc's or are they namesake tablets just made to be sold to the poor students so that they too...
Nokia fanboys (if any ๐Ÿ˜€ ) will be happy to know that Nokia is launching the much awaited and hyped Windows 7.5 phone 'Lumia' in India today. The phone has...
Those who aren't yet following CrazyEngineers VoiCE, here's a list of recent technology/engineering news worth reading - Bicycling Robot Pedals Right Into Your Heart - CrazyEngineers Nano-SIM Coming Soon -...
The new look features: Google+ integration - Now YouTube content has what your Circles have shared to Google+. New left-column dashboard sorts your Subscriptions and more into easily-clickable sections, including...