**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