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Home > College Board Tests > The Official SAT Question of the Day

Tuesday, September 15

Here's Why:
“t exceeds s” is interpreted mathematically as the value of t – s and is evaluated as follows:

t – s = $1 plus s over 2$ – s

= 1 + $1 plus 1 over 2 plus 1 over 4 plus 1 over 8 plus 1 over 16 plus 1 over 32, over 2$

– $1 plus 1 over 2 plus 1 over 4 plus 1 over 8 plus 1 over 16 plus 1 over 32$

= 1 + $1 over 2$ + $1 over 4$ + $1 over 8$ + $1 over 16$ + $1 over 32$ + $1 over 64$

– 1 – $1 over 2$ – $1 over 4$ – $1 over 8$ – $1 over 16$ – $1 over 32$

= $1 over 64$
Difficulty: Medium
Question Type: Standard Multiple Choice
(Mathematics)