In the figure above, the radius of the circle with center O is 1 and BC = 1. What is the area of triangular region ABC? GMAT Explanation

In the figure above, the radius of the circle with center O is 1 and BC = 1. What is the area of triangular region ABC?

(A) √2/2
(B) √3/2
(C) 1
(D) √2
(E) √3

Correct Answer: B

In isosceles triangle RST what is the measure of angle R? GMAT Explanation

In isosceles triangle RST what is the measure of angle R?

(1) The measure of ∠T is 100°.
(2) The measure of ∠S is 40°.

Correct Answer: A

If $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amount of interest, I, earned by the deposit in the first n years is given by the formula I=1,000((1+r/100)^n−1), where r percent is the annual interest rate paid by the bank. Is the annual interest rate paid by the bank greater than 8 percent? GMAT Explanation

If $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amount of interest, I, earned by the deposit in the first n years is given by the formula I=1,000((1+r/100)^n−1), where r percent is the annual interest rate paid by the bank. Is the annual interest rate paid by the bank greater than 8 percent?

(1) The deposit earns a total of $210 in interest in the first two years
(2) (1+r/100)^2>1.15

Correct Answer: A

If 5^x – 5^(x- 3) = 124*5^y, what is y in terms of x? GMAT Explanation

If 5^x – 5^(x- 3) = 124*5^y, what is y in terms of x?

A. x
B. x - 6
C. x - 3
D. 2x + 3
E. 2x + 6

Correct Answer: C

If 2^x-2^(x-2)=3*2^13 what is the value of x? GMAT Explanation

If 2^x-2^(x-2)=3*2^13 what is the value of x?

A. 9
B. 11
C. 13
D. 15
E. 17

Correct Answer: D

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