SAT I 一日一问：2013年4月26日-打印版式-

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

If and t equals1 plus (1 over 2) times s , then exceeds by

(A) 1/4
(B) 1/8
(C) 1/16
(D) 1/32
(E) 1/64

The Correct answer is E.

Explanation

“ exceeds ” is interpreted mathematically as the value of t minus s and is evaluated as follows:

t minus s = (1 + (s over 2)) minus s

= 1 + ((1 + (1 over 2) + (1 over 4) + (1 over 8) + (1 over 16) + (1 over 32)) over 2

minus (1 + (1 over 2) + (1 over 4) + (1 over 8) + (1 over 16) + (1 over 32))

= 1 + (1 over 2) + (1 over 4) + (1 over 8) + (1 over 16) + (1 over 32) + (1 over 64)

minus 1 minus (1 over 2) minus (1 over 4) minus (1 over 8) minus (1 over 16) minus (1 over 32)

= 1 over 64