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题库解析   >   比率、比例与百分比 题型   >  
本题由lindy提供

Each employee of Company Z is an employee of either

Division X or Division Y, but not both. If each division has some part-time employees, is the ratio of the number of full-time employees to the number of part-time employees greater for Division X than for Company Z ?

(1) The ratio of the number of full-time employees to the number of part-time employees is less for Division Y than for Company Z.

(2) More than half of the full-time employees of Company Z are employees of Division X, and more than half of the part-time employees of Company Z are employees of Division Y.


    A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

    B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

    C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

    D. EACH statement ALONE is sufficient.

    E. Statements (1) and (2) TOGETHER are NOT sufficient.


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答案:
D

let's as

sume the following: 
f1 = nb FT employee for div X 
p1 = nb PT employee for div X 
f2 = nb FT employee for div Y 
p2 = nb PT employee for div Y 

We are asked to show that: 
f1/p1 > (f1+ f2)/(p1 + p2) 
develop this inequation and we get: 
f1p2 > f2p1 

Stat.1 says: f2/p2 less then (f1+f2) divided by (p1+p2), develop it and we get f1p2 > f2p1 => stat.1 sufficient 

stat.2 says: f1>f2 & p2>p1, multiply this and we get: 
f1p2 > f2p1 => stat.2 is sufficient 

Ans. is D 

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