1. In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in the area calculated from these measurements?

A. 0.6% B. 0.8% C. 0.4% D. 0.5%

Answer Answer: Option B Explanation: Let x and y be the sides of the rectangle. then, correct area = xy.
Calculated area = (105/100 x) * (96/100 y) = 504/500 xy.
Error in measurement = (504/500 xy) - xy = 4/500 xy
Therefore error % = { 4/500 xy * 1/xy *100}% = 4/5 % = 0.8%

3. A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carpet is?

A. 5 m B. 12 m C. 13 m D. 14.5 m

Answer Answer: Option B Explanation: We have : lb = 60 and root of l^2+b^2 + l = 5b
Now, l^2 +b^2 = (5b - l)^2 => 24b^2 - 10lb = 0 => 24b^2 - 600 = 0
=> b^2 = 25 => b = 5.
Therefore l = (60/5) m = 12 m. So, length of the carpet = 12 m