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Civil Service Commission Professional or Sub-Professional Reviewer - Page 100/159

Mathematics Test IV Solution - Page 100

32. If 4 miles = 6.44 km, then 14.49 km equals how many miles ?

4 miles : 6.44 km   =  x miles : 14.49 km

4 : 6.44 = x : 14.49
   6.44x = 4 (14.49)
   6.44x = 57.96
          x = 57.96 / 6.44
          x = 9 miles * Ans.

33.  (a2 - 4b2) c  is equivalent to ac + _________ ?
      (a + 2b)

(a + 2b) (a - 2b)  x c
       (a + 2b)

= (a - 2b) x c
= ac - 2bc
= ac + (-2bc) * Ans.

34. In a certain class the ratio of boys to girls is 4 : 5. If the class has 54 students, how many are girls ?

Girls = 5 / 9 (total number of students)

        = (5 / 9) 54

        = 30 girls * Ans.

35. Solve for x :

ax = bx + cx - d,       a ≠ b ≠ c.

d = bx + cx - ax
d = x (b + c - a)
x =        d       
      (b + c - a)


x =        d        * Ans
       b + c - a

Civil Service Reviewer Post 100/159