The pie chart shows the percentage of students in a school who play five different sports. Study the chart and answer the questions that follow.
If the total number of students in the school is 1200, what is the number of students who play Cricket?
Answer: B
Cricket takes 30% of the pie.
\[ 0.30 \times 1200 = 360 \]
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The number of students who play Hockey is how many more than the number of students who play Tennis, if the total number of students is 2000?
Answer: C
Hockey is 20% and Tennis 10%, a gap of 10 percentage points.
\[ 0.10 \times 2000 = 200 \]
Working with the difference in percentages is quicker than computing 400 and 200 separately.
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If there is a 20% increase in the number of students who play football, and the total number of students remains the same (1200), what will be the new central angle for the Football sector?
Answer: B
Original number of football students = 25% of 1200 = 300.
A 20% increase means the new number is 300 * 1.20 = 360.
The new percentage of students playing football = \(\frac{360}{1200} \times 100 = 30\)%.
The new central angle = 30% of 360° = 0.30 * 360 = 108°.
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The bar graph shows the number of students enrolled (in thousands) in two different universities (A and B) in various disciplines. Study the chart and answer the questions that follow.
What is the ratio of the number of students in Arts in University A to the number of students in Commerce in University B?
Answer: D
Number of students in Arts in University A = 20,000.
Number of students in Commerce in University B = 30,000.
The required ratio is 20,000 : 30,000.
Simplifying by dividing by 10,000 gives the ratio 2 : 3.
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The number of students in Engineering in University A is what percent more than the number of students in Commerce in University A?
Answer: C
Number of students in Engineering in University A = 35,000.
Number of students in Commerce in University A = 25,000.
Increase = 35,000 - 25,000 = 10,000.
Percentage increase = \(\frac{\text{Increase}}{\text{Original Value}} \times 100 = \frac{10000}{25000} \times 100 = \frac{1}{2.5} \times 100 = 40\)%.
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What is the difference between the total number of students in University A and the total number of students in University B?
Answer: B
Add each university's four disciplines.
\[ A: 20 + 30 + 25 + 35 = 110 \text{ thousand} \]
\[ B: 25 + 35 + 30 + 30 = 120 \text{ thousand} \]
\[ 120 - 110 = 10 \text{ thousand} = 10{,}000 \]
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The following table shows the number of new employees added and the number of employees who left a company for a given period. The company had 500 employees at the beginning of 2015.
| Year | Initial Employees at Start of Year | New Joinees | Employees Left |
|---|---|---|---|
| 2015 | 500 | - | - |
| 2016 | 500 | 100 | 50 |
| 2017 | 550 | 150 | 80 |
| 2018 | 620 | 200 | 100 |
What was the number of employees at the end of the year 2017?
Answer: C
This is a cumulative calculation.
End of 2015: 500 employees.
Start of 2016: 500 employees. End of 2016 = 500 + 100 - 50 = 550 employees.
Start of 2017: 550 employees. End of 2017 = 550 + 150 - 80 = 700 - 80 = 620 employees.
The number of employees at the end of 2017 was 620.
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What was the net percentage change in the number of employees from the start of 2015 to the end of 2018?
Answer: C
We need to find the number of employees at the end of 2018.
Start of 2015 = 500.
End of 2017 = 620 (from previous question).
Start of 2018 = 620. End of 2018 = 620 + 200 - 100 = 720.
Initial number = 500. Final number = 720.
Increase = 720 - 500 = 220.
Percentage change = \(\frac{220}{500} \times 100 = 220 / 5 = 44\)%.
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The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 2014 to 2020. Study the graph and answer the questions that follow.
In how many of the given years were the exports more than the imports?
Answer: D
Exports are more than imports when the amount of imports is less than the amount of exports. This means the ratio of Imports to Exports must be less than 1.
We need to count the years where the ratio value is less than 1.
The years with a ratio less than 1 are:
There are 4 such years.
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If the imports in 2016 were Rs. 280 crores, what were the exports from the company in 2016?
Answer: C
In 2016, the ratio of Imports to Exports was 0.35.
Let I be Imports and E be Exports.
\(\frac{I}{E} = 0.35\)
Given I = Rs. 280 crores.
\(\frac{280}{E} = 0.35\)
E = \(\frac{280}{0.35} = \frac{28000}{35} = 800\).
The exports were Rs. 800 crores.
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