The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998.Was the annual rent collected by the corporation from the building more in 1999 than in 1997?
(1) x > y
(2) xy/100< x – 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.
98: (1+x)97=>97=98/1+x
99:98(1+y)
99-97=98(1+y)-98/1+x
On her way home from work, Janet drives through several tollbooths.Is there a pair of these tollbooths that are less than 10 miles apart?
(1)The first tollbooth and the last tollbooth are 25 miles apart.
(2)Janet drives through 4 tollbooths on her way home from work.
C but they didn't tell us they distribute the 4 tollbooths equally!
Each employee on a certain task force is either a manager or a director.What percent of the employees on the task force are directors?
(1) The average (arithmetic mean) salary of the managers on the task force is $5,000 less than the average salary of all employees on the task force.
(2) The average (arithmetic mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.
C
In a nationwide poll, N people were interviewed, If 1/4 of them answered “yes” to question 1, and of those ,1/3 answered “yes” to question 2, which of the following expressions represents the number of people interviewed who did not answer “yes” to both questions ?
(A)N/7
(B) 6N/7
(C) 5N/12
(D) 7N/12
(E) 11N/12
Q32.
Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses
reported a net profit and had invest-
ments in foreign markets.
(2) last year 24 of the 30 businesses
reported a net profit or invested in
foreign markets, or both.B why not D
Q13
If the average (arithmetic mean) of the assessed values
of x houses is $212,000 and the average of the assessed
values of y other houses is $194,000, what is the average
of the assessed values of the x+y houses?
(1) x+y=36
(2) x=2y
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.
Answer:
Answer C and I think B is sufficient 212x+194y/x+y=(212x+194*x/2)/x+1/2x
Q8
A department manager distributed a number of pens, pencils,
and pads among the staff in the department, with each staff
member receiving x pens, y pencils, and z pads. How many
staff members were in the department?
(1) The numbers of pens, pencils, and pads
that each staff member received were in
the retio 2:3:4, respectively.
(2) The manager distributed a total of
18 pens, 27 pencils, and 36 pads. E
why not C since the number of staff should be 9
26
Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only a finite number of nonzero digits?
(1)P>Q
(2)Q=8
l Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
l Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
l BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
l EACH statement ALONE is sufficient
l Statements (1) and (2) TOGETHER are NOT sufficient
Answer E and I thought it should be B since Q=8
Q29:
Is the integer n odd?
(1) n is divisible by 3.
(2) 2n is divisible by twice as many positive integers as n.
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.
Answer: B does B mean the number is a prime?
Q26:
How many different 6-letter sequences are there that consist of 1 A, 2 B’s, and 3 C’s ?
A. 6
B. 60
C. 120
D. 360
E. 720
Answer: B why not p61p52p33?
What is the remainder when the positive integer x is divided by 8?
(1)When x is divided by 12, the remainder is 5.
(2)When x is divided by 18, the remainder is 11.
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.