## GRE Quantitative Reasoning

Word Problem Set: 9

 Exercise Sets
 Question

 Answer Sheet - 9 1  2  3  4  5  6  7  8  9  10
1. The number 0.127 is how much greater than 1/8 ?

 1/2 2/10 1/50 1/500 2/500
2. Which of the following could not be the lengths of the sides of a right angled triangle?

Select ALL such sets.

 3, 4, 5 5, 12, 13 8, 15, 17 12, 15, 18 9, 12, 15 12, 16, 20 10, 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?

 104 78 54 27 13
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

 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
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 ?

 5π 10π 25 14 28
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

 720 180 75 65 60
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
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?

 1 2 3 4 >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?

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