GRE Quantitative Reasoning Questions, 100 Word Problems (Set 3)

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1. Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?

GRE quantitative test

	10
	8
	6
	4
	2

2. In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ?

GRE quantitative test

	18
	13.5
	9
	4.5
	3

3. Of the following, which is greater than 1/2 ? Indicate ALL such fractions.

	2/5
	4/7
	4/9
	5/11
	6/13
	8/15
	9/17

4. If an object travels at five feet per second, how many feet does it travel in one hour?

	30
	300
	720
	1800
	18000

5. A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. If a certain fence begins and ends with a post, which of the following could be the length of the fence in feet? (12 inches = 1 foot). Indicate ALL such answers.

	17
	28
	35
	39
	50

6. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?

	90
	95
	100
	105
	110

7. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

	48
	32
	24
	18
	12

8. In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?

	6
	15
	24
	33
	54

9. (√ 2 -√ 3 )²=

	5 - 2√ 6
	5 - √ 6
	1 - 2√ 6
	1 - √ 2
	1

10. 2³⁰ + 2³⁰ + 2³⁰ + 2³⁰ =

	8¹²⁰
	8³⁰
	2³²
	2³⁰
	2²⁶²