What was the revenue that the movie theater earned from Friday to Sunday if the occupancy rate of its three screens 1, 2, and 3 were the following?
Friday Saturday Sunday Screen 1 85% ...

Q) Is the sum of all the numbers between prime numbers x and y an even or an odd number?
1) x = 3 y = 31 2) y is the largest two digit number, x is even
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
Answer
To answer data sufficiency questions you don’t have to solve the problem. You just have to find the...

X and Y, two computer engineers, built identical websites at different constant rates. X, working alone for 7 hours, built some of the website; then Y, working alone for 6 hours, built the rest of the website. How many hours would it have taken X, working alone, to build all of the website?
1. X built one part 15 minutes 2. X built four times as many parts in 7 hours as Y built in 6 hours
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but...

If a and b are positive integers, is ab even?
1. a^b is odd 2. a + b is even
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
Answer Recall that the product of two integers is even if one or both of the integers are even. Therefore, ab is even if a or b is even. Statement 1 tells us that a^b is odd. Remember that the...

Is X an integer if AB > 0?
1. X = 2A  5B 2. A = B
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
Answer
If A and B are both integers then 2A and 5yB are integers and thus X is an integer.
If they are not integers, however, we have no guarantee that 2A  5B will be an integer.
...

Is X, a prime number, equal to 41?
1. X = A^2 + 5, where A is an integer 2. X^2 > 1,000
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
Answer
Without further information, we cannot definitively answer the question. Statement 1 alone is not sufficient to answer the question. Statement 2 tells us that X^2 > 1,...

If X is an integer, is Y an integer? 1. The average of X and Y is not an integer. 2. The average of X, Y, and X + 6, is Y. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer Since we can pick both integer and noninteger values for X that satisfy Statement 1,...
