Test-7

PROBLEM SOLVING

1.       Of the following, which is greater than 1/2 ?

(SELECT ALL POSSIBLE ANSWERS)

(A) 2/5

(B) 4/7

(C) 4/9

(D) 5/11

(E) 6/13

(F) 8/15

(G) 9/17

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

(A) 30

(B) 300

(C) 720

(D) 1800

(E) 18000

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

(A) 90

(B) 95

(C) 100

(D) 105

(E) 110

4.       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?

(A) 48

(B) 32

(C) 24

(D) 18

(E) 12

5.       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.       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).

(SELECT ALL POSSIBLE ANSWERS)

(A) 17

(B) 28

(C) 35

(D) 39

(E) 50

7.       ( √2 - √3 )² =

(A) 5 - 2√6

(B) 5 - √6

(C) 1 - 2√6

(D) 1 - √2

(E) 1

8.       2³⁰ + 2³⁰ + 2³⁰ + 2³⁰ =

(A) 8¹²⁰

(B) 8³⁰

(C) 2³²

(D) 2³⁰

(E) 2²⁶

9.        

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?

(A) 10

(B) 8

(C) 6

(D) 4

(E) 2

10.    

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

(A) 18

(B) 13.5

(C) 9

(D) 4.5

(E) 3

DATA INTERPRETATION

Directions (11-15): Study the following graph carefully and answer the following questions.

11.   What is the ratio of companies having more demand than production to those having more production than demand?

(A) 2 : 3

(B) 4 : 1

(C) 2 : 2

(D) 3 : 2

(E) 2 : 1

12.   What is the difference between average demand and average production of the five companies taken together?

(A) 1400

(B) 400

(C) 280

(D) 138

(E) 120

13.   The production of company D is approximately how many times that of the production of the company A?

(A) 1. 8

(B) 1. 5

(C) 2. 5

(D) 1.11

(E) 2.2

14.   The demand for company `B' is approximately what percent of the demand for company `C'?

(A) 4

(B) 24

(C) 20

(D) 60

(E) 80

15.   If company `A' desire to meet the demand by purchasing surplus T.V. sets from a single company, which one of the following companies can meet the need adequately?

(A) B

(B) C

(C) D

(D) A

(E) None of these

QUANTITATIVE COMPARISON

16.   The average (arithmetic mean) of four numbers is 36

Column A                                                    Column B

The sum of the same                            140

four numbers

17.                               n is an integer >0

Column A                                                    Column B

1/n + n                                                  2

18.   Column A                                                    Column B

The diagonal of                   Half the perimeter of

a rectangle                          the same rectangle

19.                                x + y = 5          
                             y - x = 3

Column A                                                    Column B

      X                                                                      Y

20.  Column A                                                    Column B

The distance between          The distance between

the points with                     the points with

rectangular coordinates       rectangular coordinates

(0,5) and (0,10)                    (1,8) and (-3,5)