GRE Math Problem 68

 If the area of the triangle BCE is 8, what is the area of the square ABCD?
(A) 4
(B) 8
(C) 16
(D) 22
(E) 82


Solution for GRE Math Problem 67:
As and , then PQRS is a parallelogram. And as PQ=QR, it is a rhomb. Its obtuse angle equals 120 degrees, and the acute angle is 60 degrees. Then, triangle PQR is equilateral and PQ=QR=QP=3
Answer: (C) 3

GRE Math Problem 66

If A is the point (-4, 1) and B is the point (2, 1), what is the area of the circle which has AB as a diameter?
(A) 3
(B) 6
(C) 9
(D) 12
(E) 36


Solution for GRE Math Problem 65:


1 < ab < 2
2 < a+b < 4

So, ab < 2 < a+b


Answer:B

GRE Math Problem 64

a<1

Column A	Column B
The area of a square whose side is a	The area of a circle whose diameter is a

Solution for GRE Math Problem 63:
As

then



Let’s find the difference

Then c

Answer:B

GRE Math Problem 32

A wooden cube whose edges are 3 inches is painted red.
The cube is then cut into 27 cubes whose edges are 1 inch.

Column A	Column B
The total surface area of all of the unpainted faces	100 square inches

Solution for GRE Math Problem 31:
10¹⁰⁰=2¹⁰⁰x5¹⁰⁰, therefore, it is divisible by 5⁷⁵, but not divisible by 75⁵=5⁵x3¹⁰. That's why the first remainder will be 0, and the second one will be greater than 0.
Answer: Columb B is greater

GRE Math Problem 21

The figure below consists of four circles with the same center. The radii of the four circles are 1, 2, 3, and 4.
Compare two values:

Column A	Column B
The area of the shaded region	The area of the yellow region

Solution for GRE Math Problem 20:
Since x + y = a, y + z = b, and x + z = c, a+b+c=2x+2y+2z=2(x+y+z). So, x+y+z=. And the average of x, y and x is
Answer:(D)