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题库 / Prep2007E1-DS-202
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.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
不懂，直接放弃
https://gmatclub.com/forum/each-employee-of-company-z-is-an-employee-of-either-division-54083.html
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For 1, Yf/Yp
可以这么理解，X、Y、Z是三种溶液，part-time employees 是溶质，full-time是水，Z由X、Y混合而成
（2）可以理解为 X占了一半以上的水， Y占了一半以上的溶质
即x浓度
條件1: f(y) f(z)
____ < ____
p(y) p(z) 把公司整體當成1 ，所以f(x)+f(y)=1， p(x)+p(y)=1
因为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， 所以可以证明 Y的 Fulltime 人数是少于 partime 人数的。由此得出X的 Fulltime 人数是大于 partime 人数的。 所以sufficient
條件2: Division X 超過一半是full time ，Division Y超過一半是 part time
同理，帶入上述式子
ex: 0.6 0.4 0.6
________ + ___ < ____
0.4 0.6 0.4
所以sufficient