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Civil Service Commission Professional or Sub-Professional Reviewer - Page 115/159

Mathematics Test V Solution - Page 115

41. Which of the following is NOT a possible remainder if a positive integer is divided 5?

The possible remainders are 0, 1, 2, 3, 4,

therefore, 5 is not a possible remainder * Ans.

42. In a buidling plan, 1/4 cm represents 2 meters. If the main entrance is supposed to be 8 meters wide, how wide would its representation be on the plan?

Let N - be the representation of the plan

1/4 : 2 = N : 8

2N = (1/4) (8)
2N = 8/4
2N = 2
  N = 2/2
  N = 1 cm. * Ans.

43. A real state agent marks a certain property up 30% above the original cost. Then he gives a client a 15% discount. If the final selling price of the property was $8.619 M, what was the original cost of the property?

Let x - be the original cost

(x + 0.30x) ( 1 - 0.15) = $8.619 M
            (1.30x) (0.85) =  $8.619 M
                       1.105x =  $8.619 M
                                x =  $8.619 M / 1.105
                                x = 7.8 M * Ans.

44. If 2/3 the perimeter of a square is 16, then what is the length of one of its sides?

2/3 P = 16
      P = 16 (3/2)
      P = 48/2
      P = 24

Perimeter formula for SQUARE is P = 4S.

     P = 4S
   24 = 4S
   24 = 4S
24/4 = S
     6 = S

therefore, S = 6 * Ans.

45. What values of x can satisfy the equation (3x + 6) (2x - 8) = 0 ?

3x + 6 = 0
      3x = -6
        x = -6 / 3
        x = - 2

2x - 8 = 0
     2x = 8
       x = 8 / 2
       x = 4 * Ans.

Civil Service Reviewer Post 115/159