Question : Directions: The bar graph provided below gives the data on the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years. Study the bar chart and answer the following questions.
The percentage increase in the production of company Y from 1996 to 1999 is:
Option 1: 60%
Option 2: 50%
Option 3: 55%
Option 4: 40%
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Correct Answer: 60%
Solution : Production of company Y in 1996 = 25 (in lakh tonnes) Production of company Y in 1999 = 40 (in lakh tonnes) Increment in production = 40–25 = 15 (in lakh tonnes) Percentage increased = $\frac{\text{Increment in production}}{\text{Previous production}}$ × 100 = $\frac{15}{25}$ × 100 = 60% Hence, the correct answer is 60%.
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The percentage of production of company Z to the production of company Y is maximum in:
Option 1: 2000
Option 2: 1996
Option 3: 1999
Option 4: 1998
Question : Directions: The bar graph provided below gives the data on the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years. Study the bar chart and answer the following questions. The difference between the production of company Z in 1998 and company Y in 1996 is:
Option 1: 25,00,000 tonnes
Option 2: 10,00,000 tonnes
Option 3: 15,00,000 tonnes
Option 4: 20,00,000 tonnes
Question : Directions: The bar graph provided below gives the data of the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years. Study the bar chart and answer the following questions.
The average production for five years is maximum for which company?
Option 1: X and Z
Option 2: X
Option 3: Z
Option 4: Y
The ratio of the average production of company X in the period 1998-2000 to the average production of company Y in the same period is:
Option 1: 27 : 29
Option 2: 23 : 25
Option 3: 25 : 26
Option 4: 24 : 27
Question : Simplify the given expression. $\frac{x^3+y^3+z^3-3 x y z}{(x-y)^2+(y-z)^2+(z-x)^2}$
Option 1: $\frac{1}{3}(x+y+z)$
Option 2: $(x+y+z)$
Option 3: $\frac{1}{4}(x+y+z)$
Option 4: $\frac{1}{2}(x+y+z)$
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