GRE Quantitative Reasoning Questions

100 Word Problems (Set 9)

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 Answer Sheet of Set 9
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1. The number 0.127 is how much greater than 1/8 ?

Exercise1/2

Exercise2/10

Exercise1/50

Exercise1/500

Exercise2/500

2. Which of the following could not be the lengths of the sides of a right angled triangle?

Select ALL such sets.

Exercise3, 4, 5

Exercise5, 12, 13

Exercise8, 15, 17

Exercise12, 15, 18

Exercise9, 12, 15

Exercise12, 16, 20

Exercise10, 24, 25

3. Two equal circles are cut out of a rectangle of card of dimensions 16 by 8. The circles have the maximum diameter possible. What is the approximate area of the paper remaining after the circles have been cut out?

GRE quantitative test

Exercise104

Exercise78

Exercise54

Exercise27

Exercise13

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


Exercisea2 + b2 + 1

Exercisea + b

Exercisea - b

Exerciseab

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

Exercisedecrease

Exercisestay the same

Exerciseincrease four fold

Exercisedouble

Exerciseincrease to more than double

6. ASB is a quarter circle. PQRS is a rectangle with sides PQ = 8 and PS = 6. What is the length of the arc AQB ?

GRE quantitative test


Exercise

Exercise10π

Exercise25

Exercise14

Exercise28

7. The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is

Exercise720

Exercise180

Exercise75

Exercise65

Exercise60

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?

Exercise6

Exercise8

Exercise10

Exercise12

Exercise14

9. A and B are equidistant from the line l. How many circles can be drawn with their centres on line l and that pass through both A and B?

GRE quantitative test


Exercise1

Exercise2

Exercise3

Exercise4

Exercise>10

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?

Exercise100xy

Exercise100y - x

Exercise100x - y

Exercise100y / x

Exercise100x / y