题目

# of Transactions# of Leases# of Purchases
1999110ab
20001407565
20011255075
2002100vz
Total475pd

The chart above provides a breakdown of car transactions for a local dealership. Were more cars leased in 1999 than were purchased in 1999?


(1) A total of 230 cars were purchased, and there were 10 fewer lease transactions in 2002 than in 1999.

(2) 40 cars were purchased in 2002.

选项

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.

解析

上述表格提供了当地一家汽车经销商的汽车交易明细。1999年租赁的汽车数量是否比1999年购买的汽车数量多? - **条件(1)**:已知总共购买了230辆车,且2002年的租赁交易比1999年的租赁交易少10笔。 - 从表格中可得购买车辆总数\(d = 230\),即\(b+65 + 75+z=230\),所以\(b + z=90\)。 - 又因为2002年的租赁交易\(v=a - 10\)。 - 而租赁车辆总数\(p=a+75 + 50+v=a + 75+50+(a - 10)=2a + 115\)。 - 总交易数为\(475\),所以\(110+140+125 + 100=475\),其中\(110 = a + b\),那么\(b=110 - a\)。 - 将\(b = 110 - a\)代入\(b+z = 90\)得\(z=a - 20\)。 - 再代入总交易数式子可得关于\(a\)的方程,从而可以求出\(a\)和\(b\)的值并比较大小,所以条件(1)单独充分。 - **条件(2)**:只知道2002年购买了40辆车,即\(z = 40\),但无法得到1999年租赁和购买车辆数量的关系,所以条件(2)单独不充分。 ### 最终答案 综上,答案是A,即Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient。
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