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12.Practice.Tests.for.the.SAT_2015-2016_1128p

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Section 71<br />

Practice Test Ten 883<br />

15. Ahmed rolled an eight-sided polygon six times.<br />

Each face of <strong>the</strong> polygon has a number from 1-8<br />

painted on it. No two numbers are repeated. Each<br />

roll yields one number face up.<br />

The first roll yields an even number.<br />

The second roll yields an odd number.<br />

The third roll yields <strong>the</strong> number 5.<br />

The fourth roll yields a number smaller than 4.<br />

The fifth roll yields <strong>the</strong> same number as <strong>the</strong> fourth<br />

roll.<br />

16. The average (arithmetic mean) of two numbers is<br />

equal to twice <strong>the</strong> positive difference between <strong>the</strong><br />

two numbers. If <strong>the</strong> larger number is 35, what is<br />

<strong>the</strong> smaller number?<br />

(A) 3<br />

(B) 9<br />

(C) 15<br />

(D) 21<br />

(E) 27<br />

The sixth roll yields a number smaller than <strong>the</strong> fifth<br />

roll.<br />

Which of <strong>the</strong> following must be true?<br />

(A) Ahmed could have rolled a 5 three times.<br />

(B) Ahmed could have rolled a 2 more frequently<br />

than he could have rolled any o<strong>the</strong>r numbers.<br />

(C) Ahmed rolled more odd numbers than even<br />

numbers.<br />

(D) Ahmed rolled a 3 at least once.<br />

(E) Ahmed rolled a 1 on four rolls.<br />

STOP

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