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If the circle with center O has area 9π, what is area of equilateral triangle ABC? GRE、gre题库、gre模考、gre考满分
A is the center of the circle, and the length of AB is $$\sqrt{2}$$. The blue shaded region is a square. What is the area of the shaded region? GRE、gre题库、gre模考、gre考满分
If AC = BC and CD = DE then, in terms of x, the value of y is

Note: Figure not drawn to scale
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Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

I. 2

II. 12

III. 24


If ABCD is a square with area 625, and CEFD is a rhombus with area 500, then the area of the shaded region is

Note: Figure not drawn to scale
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Quantity A

Number of primes between 50 and 60

Quantity B

Number of primes between 80 and 90


x and y are prime numbers and x + y = 18

Quantity A

xy

Quantity B

70


x and y are prime numbers.

x + y = 18

Quantity A

y

Quantity B

14


Quantity A

Product of even integers from -12 to 6 inclusive.

Quantity B

Product of odd integers from -5 to 13 inclusive.


w , x and y are consecutive even integers.

wxy = 0

w < x < y

Quantity A

x

Quantity B

0


n is a positive integer.

n is not divisible by 4.

n is not divisible by 5.

Quantity A

The remainder when n is divided by 4

Quantity B

The remainder when n is divided by 5


Quantity A

The remainder when positive integer x is divided by 11

Quantity B

11


Quantity A

The number of distinct prime factors of $$20^{6}$$

Quantity B

The number of distinct prime factors of $$32^{10}$$


X = sum of the first 31 positive odd integers

Y = sum of the first 30 positive even integers

Quantity A

x-y

Quantity B

30


x is a positive integer. k is the remainder when$$x^{3}-x$$ is divided by 3.

Quantity A

k

Quantity B

1


x and y are integers greater than 5.

x is y percent of $$x^{2}$$.

Quantity A

x

Quantity B

10


x is a positive integer.

When x is divided by 2, 4, 6 or 8, the remainder is 1.

Quantity A

x

Quantity B

24


16,000 has how many positive divisors?_____
x is a positive integer less than 100. When x is divided by 5, the remainder is 4, and when x is divided by 23, the remainder is 7. What is the value of x?_____
Which of the following are divisors of 1.2*$$10^{10}$$?

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