GRE- Quantitative Reasoning
Answer(s): D
Explanation: The centered information establishes that Quantity B,
pq, must be negative,
because the product of a positive number and a negative number is always negative. As for
Quantity A, try substituting some simple numbers for
p and
q. If
p = 1 and
q = -1, then
p +
q = 0
while
pq = -1, and therefore
Thus, which quantity is greater depends on the values of
p and
q.
QUESTION: 13
A. The quantity in Column A is greater;
B. The quantity in Column B is greater;
C. The quantities are equal;
D. The relationship cannot be determined from the information given.
Answer(s): B
Explanation: The range of D = 10 - 3 = 7. The median of D = the arithmetic mean of 6 and 9
(the two middle terms) = 7.5.
QUESTION: 14
A. The quantity in Column A is greater;
B. The quantity in Column B is greater;
C. The quantities are equal;
D. The relationship cannot be determined from the information given.
Answer(s): B
Explanation: Since
x is a negative number (less than -1),
is negative and
is positive.
Hence, Quantity A is a negative number less than
. Quantity B, on the other hand, is a