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Civil Service Commission Professional or Sub-Professional Reviewer - Page 105/159

Mathematics Test V Solution - Page 105

Solutions

1. What number is as much more than 8 as it is less than 32 ?

Let x - be the number

x - 8 = 32 - x
x + x = 32 +8
    2x = 40
      x = 40 / 2
      x = 20 * Ans.

2. A container van that is 3 meters wide, 5 meters long and 4 meters high will transport 200 crates whose volume is 6 cubic meters. How many trips will it take to transport all the crates?

Let N - be the number of trips

No. of trips = (No. of crates) x  volume  x          1 trip         
                                                crate         volume of the van

               N = 200 crates x  6 m3  x       1 trip       
                                           crate     (3 x 5 x 4)m3

               N =  (200) (6) 
                       3 x 4 x 5

               N =  1200 
                         60
               N = 20 trips * Ans.

3. A rectangular block of copper, with dimensions 4m x 6m x 9m, is melted and recast into a cubical block. Find the length of the side of the cubical block.

Vcubical block   =   Vrectangular block

S3 = (4 x 6 x 9) m3

S3 = 216 m3
          ______
S = ∛216 m3

 S = 6m * Ans.

4. There are 9 male teachers for every 14 female teachers. If there are 69 teachers in all, how many teachers are female?

 9 : 14  =  Male : Female 
   23                 69

No. of Female teachers  =  (69 / 23) x 14
                                      = 3 x 14
                                      = 42 * Ans.

                                                                     ___
5. What would be the closest approximation to√ 66    ?
  ___
√ 64   =  8
  ___
√ 66   ≅ 8.1 * Ans.


Civil Service Reviewer Post 105/159