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Monday, March 4, 2013

Civil Service Commission Professional or Sub-Professional Reviewer - Page 98/159

Mathematics Test IV Solution - Page 98

                         ____       _____
23. The sum of √ 81    +  √ 100    is ________ ?

square root of 81 is 9 and
square root of 100 is 10

therefore, 9 + 10 = 19 * Ans.

24. The sum of three consecutive integers is 54. Find the smallest integer.

Let x - be the first consecutive integer
Let x + 1 be the second consecutive integer
Let x + 2 be the third consecutive integer

x + (x + 1) + (x + 2) = 54
                     3x + 3 = 54
                           3x = 54 - 3
                           3x = 51
                             x = 51 / 3
                             x = 17 * Ans.

25. How many miles does a car travel if it averages at a rate of 35 miles per hour for 3 hours and 24 minutes?

time = 3 hrs and 24 min

       = 3 hrs + 24 / 60 hr.
       = 3 and   hrs.

distance = rate x time

=  35 miles  x 3  hrs
        hr

= (35 x 3 ) miles

= (35 x 3) + (35 + ⅖) miles

= [105 + 14] miles

= 119 miles * Ans.

26. Elmer can deliver newspaper in his route for 1 ½ hours. Wowie who takes his place one day finds that it takes him 1 ½ longer to deliver these. How long will it take to deliver the papers if they work together ?

In one hour,

Elmer can do  1  =  1  =  2  of the job
                      1      3      3

Wowie can do           1        =  1  of the job
                       1  ½ + 1  ½      3

(Part of the job finished in 1 hr.) x
(no. of hours) = 1 whole job

⅔ + ⅓ ) x N = 1

 3  x N = 1
 3

1 x N = 1

N = 1 hour * Ans.

Civil Service Reviewer Post 98/159