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Monday, March 4, 2013

Civil Service Commission Professional or Sub-Professional Reviewer - Page 106/159

Mathematics Test V Solution - Page 106

6. Manny can do a certain job in 1 day, Anna can do the same job in 2 days, and Josie can do the job in 3 days. How many days will it take them to do the job if they work together?

One 1 day Manny can finish the whole job
Anna can finish 1/2 of the same job
Josie can finish 1/3 of the same job

Let N - be the days that it takes to finish the job if they work together.

( 1  +  1  +  1 ) N = 1
  1      2      3


( 6  +  3  +  2 ) N = 1
          6

                  11  N = 1
                   6
                        N = 1 x  6  (reciprocal of 11 / 6)
                                     11
                        N = 6 / 11 day * Ans.

7. In the figure, all the line segments meet at right angles and each segments has a length of 1 unit. What is the area of the figure in square units?
line segments


8. If x - 3 = y, then (y - x )3 = _____ ?

If x - 3 = y;

     -3 = y - x
(-3)3 = (y - x)3
  -27 = (y - 3)3 * Ans.

9. A speed of 90 km per hour is equivalent to how many meters per second?

90 km  x     1 hr     x  1000 m 
       hr        3600 sec        km

=  90 x 1000  
        3600       hr

= 25  m   * Ans.
        sec

10. A rectangular sheet of cardboard 5 inches long and 4 inches wide is cut into squares one inch on a side. What is the maximum number of such squares that can be formed?

rectangular sheet
There are 20 squares * Ans

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