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Expert replies
by abhi75 » Sun Mar 09, 2008 7:30 pm
This is another Ratio DS word problem that I am having difficulty solving. I think my basic approach may not be correct to tackle these kind of problems. Can someone please tell the solution and any recommendations on tackling such problems.

Thanks in advance.

-a
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Source: — Data Sufficiency |

Solution!

by Bharadwajr » Mon Mar 10, 2008 9:44 pm
Hi,

An interesting problem more so because it is waht i lik to call "wordy". However, the underlying concept is simple.

One needs to establish if the ratio of full time employees to part time employees is greater for division X when compared to the entire organization Z, given that fact that all full time employess are EITHER in division X or in Division Y and that each division has some part time employees

Statement (1) states that the ratio for division Y is less than that for the entire organization Z. Since the ratio of full time employees to part time employees for the entire organization will be the average of the ratios for the individual divisions, it follows the ratio for division X WILL be greater than that for the organization Z.
Hence, statement 1 alone is sufficent

Statement (2) states that the division X has more than half the entire number of permanent employees and less than half of the entire number of part time employess. Consequently that ratio of the number of full time employees to the numer of part time employees for division X WILL be greater than that for the organization Z
Hence, statement 2 alone is sufficient

Therefore, doth statements, INDEPENDENTLY, are sufficient

Answer is choice D
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by abhi75 » Tue Mar 11, 2008 7:16 am
Hey Bharadwajr,

Thanks for the explanation. I was trying to get this by numbers but its more time consuming plugging in and picking numbers for problem like this one. Its better to grasp the underlying concept.

-A
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