Competitive Exams : Quantitative Aptitude - DI (Tabular/Bar/Pie) (Set 4) | Concept of Maths

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) $1 : 2$

B) $3 : 5$

C) $2 : 3$

D) $4 : 5$

Answer

Correct Answer: C

<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.

A) $15.0$

B) $17.0$

C) $16.5$

D) $18.2$

Answer

Correct Answer: B

<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).

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) $300$

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: A

<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) S2

B) S4

C) S5

D) S1

Answer

Correct Answer: B

<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) $Rs. 5,400$

B) $Rs. 4,500$

C) $Rs. 3,600$

D) $Rs. 4,800$

Answer

Correct Answer: C

<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) $40$

B) $35$

C) $45$

D) $50$

Answer

Correct Answer: A

<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) $112$

B) $80$

C) $124$

D) $136$

Answer

Correct Answer: D

<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) $4 : 3$

B) $3 : 2$

C) $5 : 4$

D) $9 : 7$

Answer

Correct Answer: B

<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 (Degree $72^{\circ}$), Agriculture ($15\%$), Chemicals (Degree $54^{\circ}$), and Engineering (Rest). What is the value of Engineering exports?

A) $\$12.5$ Billion

B) $\$10.0$ Billion

C) $\$11.0$ Billion

D) $\$9.5$ Billion

Answer

Correct Answer: C

<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: D

<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).

Competitive Exams : Quantitative Aptitude - DI (Tabular/Bar/Pie) (Set 4) | Concept of Maths