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A password for a computer system requires exactly 6 characters. Each character can be either one of the 26 letters from A to Z or one of the ten digits from 0 to 9. The first character must be a letter and the last character must be a digit. How many different possible passwords are there?

(A) less than 107

(B) between 107and 108

(C) between 108and 109

(D) between 109and 1010

(E) more than 1010

The Correct Answer
Explanation

For all nonzero y and z, =?

(A) 109 (B) 10 (C) 1 (D) (E)

Correct Answer: C

When x = 5 and y = 2, the expression

(A)

(B)

(C)

(D)

(E)

Correct Answer: A

In the figure below, the vertices of parallelogram ABCD are A (2,-4), B (8,-4), C (10,-2), and D (4,-2). What is the area of the parallelogram?

(A)6 (B) 6 (C) 12 (D) 12 (E) 16

Correct Answer: C

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