Question : The bar graph given here shows the data on the production of cars by three different companies X, Y, and Z over the years. For which of the following years is the percentage rise/fall in the production from the previous year the maximum for company Y?
Option 1: 2019
Option 2: 2018
Option 3: 2016
Option 4: 2017
Correct Answer: 2017
Solution : Production of cars by Y in 2016 = 25 Production of cars by Y in 2017 = 35 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{35-25}{25}\times100=40$% Production of cars by Y in 2018 = 35 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{35-35}{35}\times100=0$% Production of cars by Y in 2019 = 40 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{40-35}{35}\times100=14.28$% Production of cars by Y in 2020 = 50 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{50-40}{40}\times100=25$% A maximum percentage increase is seen in the year 2017. Hence, the correct answer is 2017.
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Question : The bar graph given here shows the data on the production of cars by three different companies X, Y, and Z over the years. The average production for 5 years was the maximum for which company/companies?
Option 1: Y and Z
Option 2: Y
Option 3: X and Y
Option 4: X and Z
Question : Study the given bar graph and answer the question that follows. The bar graph shows the export of rice (in lakhs) during five years. In how many years was the export of rice less than the average export for the five years?
Option 1: 4
Option 2: 1
Option 3: 3
Option 4: 2
Question : What is $\frac{\left (x^{2}-y^{2} \right)^{3}+\left (y^{2}-z^{2} \right )^{3}+\left (z^{2}-x^{2} \right )^{3}}{\left (x-y \right)^{3}+\left (y-z \right )^{3}+\left (z-x \right)^{3}}?$
Option 1: $\frac{(x+y)(y+z)}{(x+z)}$
Option 2: $(x+y)^3(y+z)^3(z+x)^3$
Option 3: $(x+y)(y+z)(z+x)$
Option 4: $(x+y)(y+z)$
Question : If $x+y+z=19, x y z=216$ and $x y+y z+z x=114$, then the value of $\sqrt{x^3+y^3+z^3+x y z}$ is:
Option 1: 32
Option 2: 30
Option 3: 28
Option 4: 35
Question : If $x+y+z=19, x y z=216$ and $x y+y z+z x=114$, then the value of $x^3+y^3+z^3+x y z$ is:
Option 1: 1225
Option 2: 1441
Option 3: 361
Option 4: 577
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