A set of 10 questions similar to the GMAT data sufficiency questions , with detailed solutions are presented.
Given a problem and two statements numbered (1) and (2), The data sufficiency problems are answered as follows
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Find the length of the rectangle.
(1) The perimeter of the rectangle is 120
(2) The width of the rectangle is 20

Given the following
x = 2 t  z + 5w, y = 2 t  1, z = 2w + 1,
find the value of x.
(1) y = 3
(2) z =  5

Find the area of an isosceles right triangle.
(1) The length of one of its legs is 10 cm
(2) The length of its hypotenuse is 10√2

Is x = y?
(1)  x  =  y 
(2) x y > 0

In a library there are 3 kinds of books: Math, Biology and Geography. There are 150 more Geography than Math books. How many books are there in the library?
(1) The ratio of Math to Biology books is 5:7
(2) The ratio of Biology to Goegraphy books is 7:8

What is the value of x^{2} + y^{2}?
(1) x + y = 4
(2) x = 2 / y

What is the value x?
(1) 2x + 0.5 y = 7
(2) 0.4 x + 0.2 y = 1.4

What is the perimeter of the quadrilateral?
(1) The area of the quadrilateral is 600
(2) One side of the quadrilateral is 30

m and n are both positive and m is less than n. What is the value of m^{2}  n^{2}?
(1) m + n = 14
(2) m  n = 2

What is the volume of the sphere?
(1) The surface area of the sphere is 400 pi
(2) The radius of the sphere is 10
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