求教 几道GWD 27 的数学

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Q13. Theater M has 25 rows with 27 seats in each row.  How many of the seats were occupied during a certain show?
(1)    During the show, there was an average (arithmetic mean) of 10 unoccupied seats per row for the front 20 rows.
(2)    During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.
    
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.




Q19. This year Henry will save a certain amount of his income, and he will spend the rest.  Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend.  In terms of r, what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half the amount that he spends this year?

A.    
B.    
C.    
D.    
E.    





Q22. The surface of a certain planet reflects 80 percent of the light that strikes it.  The clouds around the planet then absorb 40 percent of the reflected light.  What percent of the light that strikes the planet is reflected from the surface and passes through the clouds without being absorbed?

A.  32%
B.    40%
C.    48%
D.    60%
E.    88%





Q25. What is the sum of a certain pair of consecutive odd integers?
(1)      At least one of the integers is negative.
(2)      At least one of the integers is positive.
    
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.




Q32. If x3y4 = 5,000, is y = 5?
(1)      y is a positive integer.
(2)      x is an integer.
    
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.




Q37.  How many different factors does the integer n have?
(1)     n = a4b3, where a and b are different positive prime numbers.
(2)     The only positive prime numbers that are factors of n are 5 and 7.

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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