4.22考试--请教数学题目--(2)

ruoancheng

Q1:

At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8.  If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?



A.   1.4%

B.   5.9%

C.   11.1%

D. 12.5%

E. 23.6%(D)

Q5:

The sides of a square region, measured to the nearest centimeters, are 6 centimeters long.  The least possible value of the actual area of the square region is



A. 36.00 sq cm

B. 35.00 sq cm

C. 33.75 sq cm

D. 30.25 sq cm

E. 25.00 sq cm(D)

Q7:

Before a certain tire is used, 40 percent of its total weight consists of tread.  If during a lifetime of use, 50 percent, by weight, of the tire’s tread is lost and no other parts of the tire is lost, what per cent of the tire’s total remaining weight consists of the remaining tread?



A.   55%

B.   20%

C.   25%

D. 30%

E. 35% (C)

Q20:

Tom, Jane, and Sue each purchased a new house.  The average (arithmetic mean) price of the three houses was $120,000.  What was the median price of the three houses?

(1)  The price of Tom’s house was $110,000.

(2)  The price of Jane’s house was $120,000.



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.(B)

Q22:

What is the median number of employees assigned per project for the projects at Company Z?

(1)25 percent of the projects at Company Z have 4 or more employees assigned to each project.

(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.

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.(C)





Q23:

One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee.  The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y.  Is x < 0.8?

(1)  y > 0.15

(2)  C ≥ 7.30



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.(B)

Q26:

What is the greatest common factor of the positive integers j and k?

(1)k = j + 1

(2)jk is divisible by 5.



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.(A)

Q31:

In triangle PQR, the measure of angle P is 30° more than twice the measure of angle Q.  What is the measure of angle R?

(1)  Q = QR

(2)  The measure of angle P is 78°.



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. （D）