DAT Quantitative Reasoning Quiz
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ALGEBRAIC & QUANTITATIVE METHODS
Question 1
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For
a
>
0
a > 0
a
>
0
and
b
>
0
b > 0
b
>
0
with
a
≠
b
a \neq b
a
=
b
, compare the quantities: Quantity A:
a
4
+
b
4
a
2
+
b
2
\frac{a^4 + b^4}{a^2 + b^2}
a
2
+
b
2
a
4
+
b
4
Quantity B:
(
a
2
+
b
2
)
2
2
(
a
2
+
b
2
)
\frac{(a^2 + b^2)^2}{2(a^2 + b^2)}
2
(
a
2
+
b
2
)
(
a
2
+
b
2
)
2
A
Quantity A is greater than Quantity B
B
Quantity B is greater than Quantity A
C
The two quantities are equal in value
D
The relationship depends on whether a is greater than b
E
Both quantities equal the arithmetic mean of
a
2
a^2
a
2
and
b
2
b^2
b
2
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