GRE Quantitative Reasoning Questions, Algebra Topics (Set of word problem: 9)

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Answer Sheet of Set 9 (word problem)

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4 5 8 10

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4. If a and b are both positive, and a ≠ b, which of the following is a simplification of the expression above?
Select one or more of the following

GRE quantitative test

	a² + b² + 1
	a + b
	a - b
	ab

5. x = y - (50/y), where x and y are both > 0
If the value of y is doubled in the equation above, the value of x will

	decrease
	stay the same
	increase four fold
	double
	increase to more than double

8. Jeff takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?

	6
	8
	10
	12
	14

10. A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of d feet in 100 revolutions. How many revolutions does the second wheel make in covering d feet?

	100xy
	100y - x
	100x - y
	100y / x
	100x / y