Arithmatical - Decimal Fraction

DIRECTIONS : Problems based on Decimal Fraction.
16. The expression (11.98 x 11.98 + 11.98 x X + 0.02 x 0.02) will be a perfect square for x equal to
  A.  0.02
  B.  0.2
  C.  0.04
  D.  0.4
Solution
Given expression = (11.98)2 + (0.02)2 + 11.98 x X.
For the given expression to be a perfect square, we must have
11.98 x x = 2 x 11.98 x 0.02
or x = 0.04.
17. 4.036 divided by 0.04 gives
  A.  1.009
  B.  10.09
  C.  100.9
  D.  1000.1
Solution
= 4.036 / 0.04
= 403.6 / 4
= 100.9.

18. A tailor has 3.75 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of this cloth?
  A.  300
  B.  360
  C.  400
  D.  450
Solution
Length of each piece = (1/8)m
= 0.125 m.
∴ Required number of pieces = (37.5 / 0.125)
= (37.5 x 100 / 125)
= 300.
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