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
Correct Answer: X and Z
Solution : According to the question, Total production of company X over 5 years = 30 + 45 + 25 + 50 + 40 = 190 Average production over 5 years = $\frac{190}{5}$ = 38 cars Total production of company Y over 5 years = 25 + 35 + 35 + 40 + 50 = 185 Average production over 5 years = $\frac{185}{5}$ = 37 cars Total production of company Z over 5 years = 35 + 40 + 45 + 35 + 35 = 190 Average production over 5 years = $\frac{190}{5}$ = 38 cars ∴ The average production for 5 years was the maximum for X and Z companies. Hence, the correct answer is X and Z.
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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. 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
Question : Study the given bar graph and answer the following question. The bar graph shows the number of employees recruited (in lakhs) by three different companies in five different years. The number of employees recruited in company B in 2019 was what percentage of the number of employees recruited in company C in 2021? (correct up to 2 decimal places)
Option 1: 88.85%
Option 2: 85.25%
Option 3: 105.88%
Option 4: 102.35%
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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