|
If the operation Q is defined by x Q y =root of xy for all positive
numbers x and y, then (5 Q 45 ) Q 60=
(A) 30
(B) 60
(C) 90
(D) 30 root of 15
(E) 60 root of 15
my answer is 30 Car A is 20 miles behind car B ,which is traveling in the
same direction along the same route as car A. Car A is traveling at a constant
speed of 58 miles per hour and car B is traveling at a constant speed of 50
miles per hour. How many hours will it take for car A to overtake and drive 8
miles ahead of car B ?
(A)
1.5
(B)
2.0
(C)
2.5
(D)
3.0
(E) 3.5
my answer
is 4.5 A certain company retirement plan has a “rule of 70 ” provision that allows an employee to retire
when the employee’s age plus years of employment with the company total at least
70. In what year could a female employee hired in 1986 on her 32
nd
birthday first be eligible to retire under this provision?
(A) 2003
(B) 2004
(C) 2005
(D) 2006
(E) 2007 why I got 1986+19=2005?
A computer chip manufacturer expects the ratio of the number
of defective chip to the total number of chips in all future shipments to equal
the corresponding ratio for shipments S1,S2,S3,and S4 combined, as shown in the
table above. What is the expected number of defective chips in a shipment of
60,000 chips ?
(A) 14
(B) 20
(C) 22
(D) 24
(E) 25
Shipment
|
Number of defective chips in the shipment
|
Total number of chips in the shipment
|
S1
|
2
|
5,000
|
S2
|
5
|
12,000
|
S3
|
6
|
18,000
|
S4
|
4
|
16,000
|
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 926
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=816
From May 1 to May 30 in the
same year, the balance in a checking account increased. What was the balance in
the checking account on May 30?
(1) If, during this period of time, the increase in the
balance in the checking account had been 12 percent, then the balance in the
account on May 30 would have been $504
(2) During this period of time, the increase in the
balance in the checking account was 8 percent.
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 A 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 and how to prove this?
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