Comprehension
An automobile company manufactures vehicles as given in the following Pie-chart. Answer the question after studying the Pie-chart.
Question: 1
The ratio of the 75 cc Two-Wheelers and 50 cc Two-Wheelers is
The ratio of the 75 cc Two-Wheelers and 50 cc Two-Wheelers is
Show Hint
You don't need the actual production numbers to find a ratio; comparing the degrees directly is faster and accurate.
Updated On: Jul 3, 2026
- 2:1
- 1:2
- 3:2
- 2:3
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Concept
The ratio between two categories in a pie chart is equivalent to the ratio of their respective central angles.
Step 2: Meaning
From the pie chart, the central angle for 75 cc Two-Wheelers is $30^{\circ}$ and for 50 cc Two-Wheelers is $20^{\circ}$.
Step 3: Analysis
Ratio = $\frac{30^{\circ}}{20^{\circ}}$. Simplifying this fraction by dividing both terms by 10 gives $3/2$.
Step 4: Conclusion
Thus, the ratio of 75 cc Two-Wheelers to 50 cc Two-Wheelers is 3:2. Final Answer: (C)
The ratio between two categories in a pie chart is equivalent to the ratio of their respective central angles.
Step 2: Meaning
From the pie chart, the central angle for 75 cc Two-Wheelers is $30^{\circ}$ and for 50 cc Two-Wheelers is $20^{\circ}$.
Step 3: Analysis
Ratio = $\frac{30^{\circ}}{20^{\circ}}$. Simplifying this fraction by dividing both terms by 10 gives $3/2$.
Step 4: Conclusion
Thus, the ratio of 75 cc Two-Wheelers to 50 cc Two-Wheelers is 3:2. Final Answer: (C)
Was this answer helpful?
0
0
Question: 2
The percentage of 150 cc motor bikes in the total production by the company is
The percentage of 150 cc motor bikes in the total production by the company is
Show Hint
$120^{\circ}$ is exactly one-third of a circle. One-third of 100% is always 33 1/3%.
Updated On: Jul 3, 2026
- 30%
- 33 1/3%
- 32 1/3%
- 32%
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Concept
To find the percentage of a sector in a pie chart, use the formula: $\text{Percentage} = \frac{\text{Sector Angle}}{360^{\circ}} \times 100$.
Step 2: Meaning
The central angle for 150 cc Motor Bikes is $120^{\circ}$.
Step 3: Analysis
$\text{Percentage} = \frac{120}{360} \times 100$. This simplifies to $\frac{1}{3} \times 100$.
Step 4: Conclusion
$100/3 = 33.33\%$, which is written as $33~1/3\%$. Final Answer: (B)
To find the percentage of a sector in a pie chart, use the formula: $\text{Percentage} = \frac{\text{Sector Angle}}{360^{\circ}} \times 100$.
Step 2: Meaning
The central angle for 150 cc Motor Bikes is $120^{\circ}$.
Step 3: Analysis
$\text{Percentage} = \frac{120}{360} \times 100$. This simplifies to $\frac{1}{3} \times 100$.
Step 4: Conclusion
$100/3 = 33.33\%$, which is written as $33~1/3\%$. Final Answer: (B)
Was this answer helpful?
0
0
Question: 3
If the number of 75 cc Two-Wheelers manufactured in a month is 2700, then the total number of vehicles manufactured by the company in that month is
If the number of 75 cc Two-Wheelers manufactured in a month is 2700, then the total number of vehicles manufactured by the company in that month is
Show Hint
If $30^{\circ}$ is 2700, then $1^{\circ}$ is 90. Multiply 90 by 360 to get the full circle.
Updated On: Jul 3, 2026
- 32400
- 30860
- 32600
- 33800
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Concept
The total production corresponds to $360^{\circ}$. We use the unitary method: $\text{Total} = \frac{\text{Given Number}}{\text{Sector Angle}} \times 360$.
Step 2: Meaning
$30^{\circ}$ corresponds to 2700 vehicles.
Step 3: Analysis
$\text{Total} = \frac{2700}{30} \times 360$. This simplifies to $90 \times 360$.
Step 4: Conclusion
$90 \times 360 = 32400$. Final Answer: (A)
The total production corresponds to $360^{\circ}$. We use the unitary method: $\text{Total} = \frac{\text{Given Number}}{\text{Sector Angle}} \times 360$.
Step 2: Meaning
$30^{\circ}$ corresponds to 2700 vehicles.
Step 3: Analysis
$\text{Total} = \frac{2700}{30} \times 360$. This simplifies to $90 \times 360$.
Step 4: Conclusion
$90 \times 360 = 32400$. Final Answer: (A)
Was this answer helpful?
0
0
Question: 4
In a month, if the total number of 800 cc cars and 100 cc scooters produced is 4800, the number of 150 cc motor bikes produced in the same month is
In a month, if the total number of 800 cc cars and 100 cc scooters produced is 4800, the number of 150 cc motor bikes produced in the same month is
Show Hint
Equal angles in a pie chart represent equal quantities. No further calculation is needed.
Updated On: Jul 3, 2026
- 4800
- 9600
- 2400
- 1200
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Concept
Compare the combined angle of the given categories to the angle of the target category.
Step 2: Meaning
Angle of 800 cc cars ($30^{\circ}$) + Angle of 100 cc scooters ($90^{\circ}$) = $120^{\circ}$.
Step 3: Analysis
The central angle for 150 cc motor bikes is also $120^{\circ}$.
Step 4: Conclusion
Since the angles are identical ($120^{\circ} = 120^{\circ}$), the number produced must be the same, which is 4800. Final Answer: (A)
Compare the combined angle of the given categories to the angle of the target category.
Step 2: Meaning
Angle of 800 cc cars ($30^{\circ}$) + Angle of 100 cc scooters ($90^{\circ}$) = $120^{\circ}$.
Step 3: Analysis
The central angle for 150 cc motor bikes is also $120^{\circ}$.
Step 4: Conclusion
Since the angles are identical ($120^{\circ} = 120^{\circ}$), the number produced must be the same, which is 4800. Final Answer: (A)
Was this answer helpful?
0
0
Question: 5
The percentage of 100 cc scooters out of the total vehicles produced is
The percentage of 100 cc scooters out of the total vehicles produced is
Show Hint
$90^{\circ}$ is a right angle, which is exactly one-quarter (1/4) of a circle. 1/4 is always 25%.
Updated On: Jul 3, 2026
- 50%
- 25%
- 75%
- 20%
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Concept
Percentage is sector angle divided by total angle multiplied by 100.
Step 2: Meaning
The angle for 100 cc Scooters is $90^{\circ}$.
Step 3: Analysis
$\text{Percentage} = \frac{90}{360} \times 100$.
Step 4: Conclusion
$\frac{1}{4} \times 100 = 25\%$. Final Answer: (B)
Percentage is sector angle divided by total angle multiplied by 100.
Step 2: Meaning
The angle for 100 cc Scooters is $90^{\circ}$.
Step 3: Analysis
$\text{Percentage} = \frac{90}{360} \times 100$.
Step 4: Conclusion
$\frac{1}{4} \times 100 = 25\%$. Final Answer: (B)
Was this answer helpful?
0
0
Question: 6
If in an year the total number of vehicles produced is 36000, the total number of cars produced in that year is
If in an year the total number of vehicles produced is 36000, the total number of cars produced in that year is
Show Hint
Always check if a question refers to multiple sub-categories (like "cars") combined.
Updated On: Jul 3, 2026
- 25000
- 15000
- 10000
- 12000
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Concept
"Cars" include both 800 cc and 1000 cc categories. Add their angles first.
Step 2: Meaning
Combined Angle = $30^{\circ}$ (800 cc) + $70^{\circ}$ (1000 cc) = $100^{\circ}$.
Step 3: Analysis
Number of cars = $\frac{100}{360} \times 36000$.
Step 4: Conclusion
$100 \times 100 = 10000$. Final Answer: (C)
"Cars" include both 800 cc and 1000 cc categories. Add their angles first.
Step 2: Meaning
Combined Angle = $30^{\circ}$ (800 cc) + $70^{\circ}$ (1000 cc) = $100^{\circ}$.
Step 3: Analysis
Number of cars = $\frac{100}{360} \times 36000$.
Step 4: Conclusion
$100 \times 100 = 10000$. Final Answer: (C)
Was this answer helpful?
0
0
Question: 7
If the total number of 75 cc two wheelers produced in an year is 1200, the number of 50 cc two wheelers produced in the same year is
If the total number of 75 cc two wheelers produced in an year is 1200, the number of 50 cc two wheelers produced in the same year is
Show Hint
Using the ratio $30:20$ or $3:2$ avoids calculating the total production of the whole circle.
Updated On: Jul 3, 2026
- 1200
- 1000
- 800
- 600
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Concept
Use the ratio of the angles to find the quantity of one category from another.
Step 2: Meaning
Ratio (75 cc : 50 cc) = $30^{\circ} : 20^{\circ} = 3:2$.
Step 3: Analysis
If 3 parts = 1200, then 1 part = $1200 / 3 = 400$.
Step 4: Conclusion
50 cc production = 2 parts = $2 \times 400 = 800$. Final Answer: (C)
Use the ratio of the angles to find the quantity of one category from another.
Step 2: Meaning
Ratio (75 cc : 50 cc) = $30^{\circ} : 20^{\circ} = 3:2$.
Step 3: Analysis
If 3 parts = 1200, then 1 part = $1200 / 3 = 400$.
Step 4: Conclusion
50 cc production = 2 parts = $2 \times 400 = 800$. Final Answer: (C)
Was this answer helpful?
0
0
Top AP ECET BSc Mathematics Questions
- The integrating factor of $x \cos x \frac{dy}{dx} + (x \sin x + \cos x) y = 1$ is}
- If $y = y(x)$ is the solution of $\left(\frac{2 + \sin x}{y + 1}\right) \frac{dy}{dx} + \cos x = 0$ with $y(0) = 1$, then $y\left(\frac{\pi}{2}\right) = $
- The solution of $y^{4}dx + 2xy^{3}dy = \frac{ydx - xdy}{x^{3}y^{3}}$ is}
- Which of the following is an integrating factor of $(x^{2} + y^{2} + 2x)dx + 2ydy = 0$?
- The differential equation $\frac{dy}{dx} = \frac{-(x + x^{8} + py^{2})}{y^{8} - y + qxy}$ is exact if}
View More Questions