Q1 . If a plant has an effective capacity of 6,500 and an efficiency of 88%, what is the actual (planned) output? A pla
nt has an effective capacity of 900 units per day and produces 800 units per day with its product mix; what is its effic
iency?
ans - The actual (planned) output can be calculated by multiplying the effective capacity by the efficiency as a decim
al. So, for the first example: 6,500 x 0.88 = 5,720.
Therefore, the actual (planned) output is 5,720 units.
For the second example: the plant's efficiency can be calculated by dividing the actual output by the effective capacit
y and multiplying by 100 to get a percentage.
So: (800/900) x 100 = 88.89%. Therefore, the plant's efficiency is 88.89%.
Q2 . 12 wrestlers compete in a competition. If each wrestler wrestles one match with each other wrestler, what are th
e total number of matches?
ans - (n*(n-1))/2
Where n is the number of wrestlers.
So in this case: (12*(12-1))/2 = (12*11)/2 = 132/2 = 66 matches.
Therefore, the total number of matches in the competition is 66.