题目列表

题目内容
y > x > $$\sqrt{2}$$

Quantity A

x+y

Quantity B

$$\sqrt{xy}$$


Quantity A

$$\frac{(x+1)(x+4)}{x^{3}+2x^{2}+3}$$

Quantity B

(x+2)(x+3)


n is an integer greater than 1

Quantity A

$$\frac{5}{n}$$

Quantity B

$$\frac{\frac{5}{n+1}+\frac{5}{n-1}}{2}$$


1 < a < b < c

Quantity A

$$\frac{a+b}{a+c}$$

Quantity B

$$\frac{a+c}{b+c}$$


$$x \neq 0$$

$$y \neq 0$$

$$x+y \neq 0$$

Quantity A

$$x^{-3}$$+$$y^{-3}$$

Quantity B

$$(x+y)^{-3}$$


The operation ⊙ is defined by a⊙b=$$a^{2}$$+2$$b^{2}$$+3a+4b for all numbers a and b

x > y > 0

Quantity A

x⊙y

Quantity B

y⊙x


Three positive integers M, N, K are the hundreds digit, tens digit and ones digit of the integer MNK.

Quantity A

M+N*N+K

Quantity B

M*M+N+K


x ≠ -2

Quantity A

(x+2)x

Quantity B

(x+2)(x-2)


If $$3^{x}$$+$$3^{x}$$+$$3^{x}$$=$$9^{x-2}$$, what is the value of x?
$$3^{x}3^{y}$$=1

Quantity A

x+y

Quantity B

0


($$3^{8x}$$)($$Y^{3}$$)= $$3^{8x+3}$$

Quantity A

$$Y^{2}$$

Quantity B

9


y-x=1

Quantity A

$$\frac{5^{x}}{5^{y}}$$

Quantity B

$$\frac{1}{5}$$


If $$r=s^{2}$$, $$s=t^{3}$$, and $$t=u^{4}$$, what is $$r$$ in terms of $$u$$?
$$(3.8 \times 6^{25}) — (0.24 \times 6^{26})$$ =
$$\frac{x^{\frac{25}{2}}*x^{2}}{x^{n}}$$=$$x^{100}$$

$$n$$=?

Give your answer as a decimal.
$$2^{x^{2}-3x}$$=$$\frac{1}{4}$$

Quantity A

x

Quantity B

3


Quantity A

$$2^{-2}$$

Quantity B

$$4^{-2}$$+$$(-2)^{-2}$$


Which of the following is an odd integer?
The function $$f$$ is defined by f$$(x)=2^{-x^{2}}$$ for all integers $$x$$. Which of the following could be the value of $$f(x)$$?

Indicate all such values.
If $$0.6^{-n}$$ < 4, n is an integer, what is the greatest possible value of n?

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