Number system

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Number system

by shivaraj iyer » Sat Sep 22, 2012 12:20 am
7 bowlers in Indian cricket team from a list of 16 playes. Statisticians discovered that if you looked at the number of wickets taken by any one of the 7 bowlers of the current team, they had a strange property. The numbers were such that for any team selection of 11 players ( having 1 to 7 bowlers) by using the number of wickets taken by each bowler and attaching coefficients of 1, 0, -1 to each value available and adding the resultant values, any number from 1 to 1093 both included would be formed. If we denote W1, W2, ....W7 as the 7 values in the ascending order what could be the answer to the following questions.



find the value of W1 + 2W2 + 3W3 + 4W4 + 5W5 + 6W6

find the index of the largest power of 3 contained in the product of W1W2W3W4W5W6W7

if the sum of seven coefficients is 0, find the smallest number that can be obtained.

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by Brent@GMATPrepNow » Sat Sep 22, 2012 5:54 am
shivaraj iyer wrote:7 bowlers in Indian cricket team from a list of 16 playes. Statisticians discovered that if you looked at the number of wickets taken by any one of the 7 bowlers of the current team, they had a strange property. The numbers were such that for any team selection of 11 players ( having 1 to 7 bowlers) by using the number of wickets taken by each bowler and attaching coefficients of 1, 0, -1 to each value available and adding the resultant values, any number from 1 to 1093 both included would be formed. If we denote W1, W2, ....W7 as the 7 values in the ascending order what could be the answer to the following questions.



find the value of W1 + 2W2 + 3W3 + 4W4 + 5W5 + 6W6

find the index of the largest power of 3 contained in the product of W1W2W3W4W5W6W7

if the sum of seven coefficients is 0, find the smallest number that can be obtained.
I think it's safe to say that this question is out of scope for the GMAT.
To begin, it's missing the 5 answer choices.
More importantly, the wording is confusing and ambiguous.
There's also the issue of the term "index." Knowledge of this term is not required on the GMAT.

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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