Question 1

1. A company's total expenditure is 1.2 Crore. The expenditure is divided as: Salaries (30%), Raw Materials (35%), Marketing (15%), R&D (10%), and Others (10%). If the expenditure on Marketing increases by 20% and Salaries decrease by 10%, what is the new ratio of Marketing expenditure to Salary expenditure?

A) 1 : 2B) 3 : 5C) 2 : 3D) 4 : 5

Answer

✓ Correct Answer: Option C

Explanation: <h4>Solution:</h4> Original Salary = 30% of 1.2 Cr = 0.36 Cr.<br> Original Marketing = 15% of 1.2 Cr = 0.18 Cr.<br> New Marketing = $0.18 \times 1.20 = 0.216$ Cr.<br> New Salary = $0.36 \times 0.90 = 0.324$ Cr.<br> New Ratio = $\frac{0.216}{0.324} = \frac{216}{324} = \frac{2}{3}$.<br> Final Answer: 2:3 (Index 2).

Question 2

2. Study the following table and answer the question: Population of 4 Cities (in lakhs) and the ratio of Male to Female.

Question 3

3. In a Pie Chart representing the marks of a student in 5 subjects (Total Marks = 600), the central angle for Mathematics is $108^{\circ}$ and for Science is $90^{\circ}$. What is the sum of marks obtained in Mathematics and Science?

A) 300B) 320C) 280D) 330

Answer

✓ Correct Answer: Option D

Explanation: <h4>Solution:</h4> Total degrees in a circle = $360^{\circ}$.<br> Total Marks = 600.<br> Marks per degree = $\frac{600}{360} = \frac{5}{3}$.<br> Sum of angles = $108^{\circ} + 90^{\circ} = 198^{\circ}$.<br> Sum of marks = $198 \times \frac{5}{3} = 66 \times 5 = 330$.<br> Final Answer: 330 (Index 3).

Question 4

4. A Bar Graph shows the production of Wheat (in tonnes) by 3 states over 3 years.

A) 27.4%B) 31.2%C) 25.0%D) 22.8%

Answer

✓ Correct Answer: Option A

Explanation: <h4>Solution:</h4> Total Production in 2021 = 450 + 500 + 400 = 1350 tonnes.<br> Total Production in 2023 = 580 + 600 + 540 = 1720 tonnes.<br> Increase = 1720 - 1350 = 370 tonnes.<br> Percentage Increase = $\frac{370}{1350} \times 100 \approx 27.41%$.<br> Final Answer: 27.4% (Index 0).

Question 5

5. A table shows the number of candidates who appeared and qualified in an exam from 5 states.

A) S2B) S4C) S5D) S1

Answer

✓ Correct Answer: Option B

Explanation: <h4>Solution:</h4> S1: $\frac{540}{4500} \times 100 = 12%$<br> S2: $\frac{840}{6000} \times 100 = 14%$<br> S3: $\frac{456}{3800} \times 100 = 12%$<br> S4: $\frac{936}{5200} \times 100 = 18%$<br> S5: $\frac{672}{4800} \times 100 = 14%$<br> Highest is S4 (18%).<br> Final Answer: S4 (Index 1).

Question 6

6. The total expenditure of a family is Rs. 60,000. A Pie Chart shows: Food (25%), Rent (20%), Education (15%), Medicine (12%), Savings (18%), Others (10%). If the amount spent on Education is further divided into School Fees and Books in the ratio 3:2, how much is spent on Books?

A) Rs. 5,400B) Rs. 4,500C) Rs. 3,600D) Rs. 4,800

Answer

✓ Correct Answer: Option C

Explanation: <h4>Solution:</h4> Total Expenditure = 60,000.<br> Education Expenditure = 15% of 60,000 = 9,000.<br> Ratio School Fees : Books = 3 : 2.<br> Amount on Books = $\frac{2}{5} \times 9,000 = 2 \times 1,800 = 3,600$.<br> Final Answer: Rs. 3,600 (Index 2).

Question 7

7. A table represents the Sales and Expenses of a firm (in Rs. lakhs) over 4 years. Profit = Sales - Expenses.

A) 40B) 35C) 45D) 50

Answer

✓ Correct Answer: Option A

Explanation: <h4>Solution:</h4> Profit 2020 = 150 - 120 = 30.<br> Profit 2021 = 180 - 140 = 40.<br> Profit 2022 = 210 - 160 = 50.<br> Profit 2023 = 250 - 210 = 40.<br> Average Profit = $\frac{30 + 40 + 50 + 40}{4} = \frac{160}{4} = 40$.<br> Final Answer: 40 (Index 0).

Question 8

8. A Pie Chart shows the distribution of employees in different departments: IT (35%), HR (15%), Sales (25%), Marketing (25%). Total employees = 800. If 20% of IT employees and 40% of Sales employees are female, what is the total number of female employees in these two departments?

A) 112B) 80C) 124D) 136

Answer

✓ Correct Answer: Option D

Explanation: <h4>Solution:</h4> IT Employees = 35% of 800 = 280.<br> Female IT = 20% of 280 = 56.<br> Sales Employees = 25% of 800 = 200.<br> Female Sales = 40% of 200 = 80.<br> Total Females = 56 + 80 = 136.<br> Final Answer: 136 (Index 3).

Question 9

9. The following table shows the distance (in km) and the time taken (in hours) by 4 cars.

A) 4 : 3B) 3 : 2C) 5 : 4D) 9 : 7

Answer

✓ Correct Answer: Option B

Explanation: <h4>Solution:</h4> Speed C1 = 420 / 7 = 60 km/h.<br> Speed C2 = 540 / 6 = 90 km/h (Fastest).<br> Speed C3 = 360 / 5 = 72 km/h.<br> Speed C4 = 480 / 8 = 60 km/h (Slowest).<br> Ratio = 90 : 60 = 3 : 2.<br> Final Answer: 3:2 (Index 1).

Question 10

10. Total Exports of a country are valued at US\50 Billion. The Pie Chart for commodities shows: Electronics (28%), Textiles (Degree72^{\circ}), Agriculture (15%), Chemicals (Degree54^{\circ}$), and Engineering (Rest). What is the value of Engineering exports?

A) $\12.5 BillionB) $\10.0 BillionC) $\11.0 BillionD) $\9.5 Billion

Answer

✓ Correct Answer: Option C

Explanation: <h4>Solution:</h4> Convert degrees to percentage:<br> Textiles = $(\frac{72}{360}) \times 100 = 20%$.<br> Chemicals = $(\frac{54}{360}) \times 100 = 15%$.<br> Total % so far = 28% (Elec) + 20% (Text) + 15% (Agri) + 15% (Chem) = 78%.<br> Engineering % = 100% - 78% = 22%.<br> Value of Engineering = 22% of 50 Billion = 11.0 Billion.<br> Final Answer: $\11.0 Billion (Index 2).

Accepted Answer

✓ Correct Answer: Option B

Explanation: <h4>Solution:</h4> Females in City B = $\frac{4}{9} \times 18.0 = 8.0$ lakhs.<br> Females in City D = $\frac{9}{20} \times 20.0 = 9.0$ lakhs.<br> Total Females = 8.0 + 9.0 = 17.0 lakhs.<br> Final Answer: 17.0 (Index 1).

Competitive Exams : Quantitative Aptitude - DI (Tabular/Bar/Pie) (Set 4)

2. Study the following table and answer the question: Population of 4 Cities (in lakhs) and the ratio of Male to Female.

3. In a Pie Chart representing the marks of a student in 5 subjects (Total Marks = 600), the central angle for Mathematics is $108^{\circ}$ and for Science is $90^{\circ}$. What is the sum of marks obtained in Mathematics and Science?

4. A Bar Graph shows the production of Wheat (in tonnes) by 3 states over 3 years.

5. A table shows the number of candidates who appeared and qualified in an exam from 5 states.

6. The total expenditure of a family is Rs. 60,000. A Pie Chart shows: Food (25%), Rent (20%), Education (15%), Medicine (12%), Savings (18%), Others (10%). If the amount spent on Education is further divided into School Fees and Books in the ratio 3:2, how much is spent on Books?

7. A table represents the Sales and Expenses of a firm (in Rs. lakhs) over 4 years. Profit = Sales - Expenses.

8. A Pie Chart shows the distribution of employees in different departments: IT (35%), HR (15%), Sales (25%), Marketing (25%). Total employees = 800. If 20% of IT employees and 40% of Sales employees are female, what is the total number of female employees in these two departments?

9. The following table shows the distance (in km) and the time taken (in hours) by 4 cars.

10. Total Exports of a country are valued at US\50 Billion. The Pie Chart for commodities shows: Electronics (28%), Textiles (Degree72^{\circ}), Agriculture (15%), Chemicals (Degree54^{\circ}$), and Engineering (Rest). What is the value of Engineering exports?