Question : Study the given pie chart and answer the question that follows. The pie chart shows the number of students (boys and girls) studying in standard 10 of various schools (X, Y, and Z in the year 2022). What is the difference between the total number of students (boys and girls) in schools Y and Z together and the total number of students (boys and girls) in schools X and Y together?
Option 1: 720
Option 2: 840
Option 3: 780
Option 4: 820
Correct Answer: 720
Solution : The total number of students (boys and girls) in schools Y and Z together = 30% + 25% = 55% The total number of students (boys and girls) in schools X and Y together = 45% + 30% = 75% Difference = 75% – 55% = 20% Given: total students = 3600 Thus, 20% of 3600 = $\frac{20}{100}\times3600$ = 720 Hence, the correct answer is 720.
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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:
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