MATH.12

# Q7 there are 11 women and 9 men in a certain club if

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Q7: There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? 2

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A. 120 B. 720 C. 1,060 D. 1,520 E. 1,980 Answer: ---------------------------------------------------------------------------------------------------------------------- Q8: B A C In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC? ---------------------------------------------------------------------------------------------------------------------- Q9: If 5x = 2y and xy ≠ 0, then is what percent of y? ---------------------------------------------------------------------------------------------------------------------- Q10: 3
In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square? ---------------------------------------------------------------------------------------------------------------------- Q11: The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What is the units digit of m? (1) m is odd. (2) The hundreds digit of m is 8. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: ---------------------------------------------------------------------------------------------------------------------- Q12: Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q? (1) The average annual salary of the employees in Division R is \$30,000. (2) The average annual salary of the employees at Company Q who are not in Division R is \$35,000. ---------------------------------------------------------------------------------------------------------------------- Q13: 4

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The sequence a 1, a 2 , … , a n , … is such that a n = 2 a n-1 - x for all positive integers n ≥ 2 and for certain number x. If a 5 = 99 and a 3 = 27, what is the value of x? ---------------------------------------------------------------------------------------------------------------------- Q14: Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less than the average length of the sticks in Box W and 6 inches greater than the average length of the sticks in Box V. What is the average (arithmetic mean) length, in inches, of the sticks in Box W minus the average length, in inches, of the sticks in Box V? ----------------------------------------------------------------------------------------------------------------------
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