Q9 if r is a constant and a n r n for all positive

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Q9: If r is a constant and a n = r n for all positive integers n, for how many values of n is a n < 100? (1) a 50 = 500 (2) a 100 + a 105 = 2,050 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: ------------------------------------------------------------------------------------------------------------ Q10: If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the perimeter of the rectangle? (1) The length of each diagonal of the rectangle is 10. (2) The area of the rectangular region is 48. ------------------------------------------------------------------------------------------------------------ Q11: If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is 1/s + 1/t in terms of t? 3
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------------------------------------------------------------------------------------------------------------ Q12: A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold? (1) If each of the salespeople sales 4 of the cars, 23 cars will remain unsold. (2) If each of the salespeople sales 6 of the cars, 5 cars will remain unsold. ------------------------------------------------------------------------------------------------------------ Q13: A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet? (43,560 square feet = 1 acre) A. $5,330 B. $3,360 C. $1,350 D. $360 E. $150 Answer: ------------------------------------------------------------------------------------------------------------ Q14: How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards? (1 mile = 1,160 yards) ------------------------------------------------------------------------------------------------------------ Q15: If n and k are positive integers, is n/k an even integer? (1) n is divisible by 8. (2) k is divisible by 4. 4
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