Quantitative Aptitude — Data Interpretation

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Quantitative Aptitude — Data Interpretation — Questions with Answers Open after you finish the quiz — all 19 questions, with answers and explanations.
Q1. According to the following line graph, find the average annual percentage growth of mascara sales through the years 2001, 2002, 2003 and 2004.
  1. 50 percent
  2. 100 percent
  3. 75 percent
  4. 46 percent
Show answer
Answer: D. 46 percent
First, calculate the percentage growth for mascara for each consecutive year interval. Growth from 2001 (2 units) to 2002 (3.5 units) is ((3.5 - 2) / 2) * 100 = 75 percent. Growth from 2002 (3.5 units) to 2003 (5 units) is ((5 - 3.5) / 3.5) * 100 = 42.85 percent. Growth from 2003 (5 units) to 2004 (6 units) is ((6 - 5) / 5) * 100 = 20 percent. Now, find the average annual growth by adding these values and dividing by 3: (75 + 42.85 + 20) / 3 = 137.85 / 3 = 45.95 percent, which is approximately equal to 46 percent.
Q2. The pie chart shows how much each department spends on Vader's annual event. If the expenditure of L&D is Rupees 6400, find the amount spent by Admin and HR department together.
  1. Rupees 30,400
  2. Rupees 31,740
  3. Rupees 37,475
  4. Rupees 33,155
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Answer: A. Rupees 30,400
The angle for L&D department is 40 degrees, which corresponds to an expenditure of Rupees 6400. Therefore, the value of 1 degree = 6400 / 40 = Rupees 160. The total angle for Admin (100 degrees) and HR (90 degrees) departments together is 100 + 90 = 190 degrees. Thus, the total amount spent by Admin and HR = 190 * 160 = Rupees 30,400.
Q3. The following line graph shows the population (in million) of Istanbul over 6 years (from 2013 to 2018). What is the approximate percentage increase in the population of Istanbul from 2013 to 2018?
  1. 120 percent
  2. 115 percent
  3. 118 percent
  4. 130 percent
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Answer: B. 115 percent
The population of Istanbul in 2013 was 1.3 million and in 2018 it reached 2.8 million. The total increase in population is 2.8 - 1.3 = 1.5 million. The percentage increase is calculated as (increase / original population) * 100 = (1.5 / 1.3) * 100 = 1500 / 13 = 115.38 percent, which is approximately 115 percent.
Q4. The following pie-chart shows the percentage distribution of the expenditure incurred by a company in manufacturing electric kettles. If for manufacturing a certain quantity of electric kettles, the company has to pay Rupees 56,000 towards direct material cost, then how much will be the manufacturing overhead cost?
  1. Rupees 50,000
  2. Rupees 46,000
  3. Rupees 40,000
  4. Rupees 35,000
Show answer
Answer: B. Rupees 46,000
From the pie chart, the direct material cost accounts for 28 percent of the total expenditure, which is given as Rupees 56,000. This means 1 percent of the expenditure = 56000 / 28 = Rupees 2000. The manufacturing overhead cost accounts for 23 percent. Therefore, the manufacturing overhead cost = 23 * 2000 = Rupees 46,000.
Q5. The following bar graph shows the increase in the production of corn (in tons) over 4 years (from 2012 to 2015). What is the percentage increase (up to two decimal points) in the production of corn in 2015 as compared to the previous year?
  1. 10.10 percent
  2. 9.26 percent
  3. 9.75 percent
  4. 8.58 percent
Show answer
Answer: C. 9.75 percent
The production of corn in the previous year (2014) was 41 tons and the production in 2015 was 45 tons. The increase in production is 45 - 41 = 4 tons. The percentage increase as compared to the previous year is (4 / 41) * 100 = 400 / 41 = 9.756 percent, which rounds to 9.75 percent.
Q6. The following line graph shows the quantity of digital watches manufactured by two companies X and Y over 6 years (from 2014 to 2019). In which year is the absolute difference between the quantity of watches manufactured by company X and company Y the maximum? (Data: 2016: X=130, Y=100; 2017: X=115, Y=80; 2018: X=125, Y=108; 2019: X=160, Y=150)
  1. 2017
  2. 2019
  3. 2016
  4. 2018
Show answer
Answer: A. 2017
Let us calculate the absolute difference between the production of company X and company Y for each given year. For 2016, difference = |130 - 100| = 30. For 2017, difference = |115 - 80| = 35. For 2018, difference = |125 - 108| = 17. For 2019, difference = |160 - 150| = 10. The absolute difference is maximum in the year 2017 with a value of 35.
Q7. The following pie chart shows the percentage distribution of 250 students at Delhi University, who are from different parts of the world, speaking languages. How many students speak Spanish as one of their languages?
  1. 105
  2. 95
  3. 100
  4. 110
Show answer
Answer: A. 105
From the pie chart, the categories that include Spanish are 'English and Spanish' (30 percent) and 'Spanish' only (12 percent). Therefore, the total percentage of students who speak Spanish as one of their languages is 30 + 12 = 42 percent. Since the total number of students is 250, the number of students who speak Spanish = 42 percent of 250 = (42 * 250) / 100 = 42 * 2.5 = 105 students.
Q8. The following table shows the production of tomatoes (in tons) for three different states, X, Y and Z, over the years 2016 to 2019. What is the average production of tomatoes (in tons) for state Y for all the years together?
  1. 4 tons
  2. 3 tons
  3. 5 tons
  4. 6 tons
Show answer
Answer: C. 5 tons
To find the average production of tomatoes for state Y across all the years, sum the values given for state Y and divide by the number of years (4). The values are 5 for 2016, 5.4 for 2017, 4 for 2018, and 5.6 for 2019. Total sum = 5 + 5.4 + 4 + 5.6 = 20 tons. Average production = 20 / 4 = 5 tons.
Q9. The following circle graph shows the expenditure incurred by a country on various sectors, A, B, C, D, E and F, during a particular year. What is the approximate percentage of the expenditure on sector D?
  1. 26.4 percent
  2. 32.3 percent
  3. 25 percent
  4. 40 percent
Show answer
Answer: A. 26.4 percent
The total circle represents 360 degrees. The angular value given for sector D is 95 degrees. To find the percentage of expenditure on sector D, use the formula: (angle of sector / total angle) * 100 = (95 / 360) * 100 = 950 / 36 = 26.38 percent, which is approximately 26.4 percent.
Q10. The following pie chart shows the percentage distribution of the various expenses incurred in selling an electric bulb. If, for a certain quantity of bulbs, the manufacturer incurs Rupees 28,400 as molding cost, then how much does he incur as copyright expense?
  1. Rupees 20,130
  2. Rupees 20,310
  3. Rupees 23,100
  4. Rupees 21,300
Show answer
Answer: D. Rupees 21,300
From the pie chart, the molding cost segment represents 20 percent, which equals Rupees 28,400. Therefore, 1 percent corresponds to 28400 / 20 = Rupees 1420. The copyright expense is represented by 15 percent. Thus, the expenditure on copyright = 15 * 1420 = Rupees 21,300.
Q11. A company produced 2500 units of Product A in January, 3200 units in February, and 2800 units in March. For Product B, it produced 1800 units in January, 2500 units in February, and 3000 units in March. What is the difference between the total production of Product A and Product B over these three months?
  1. 1200 units
  2. 1000 units
  3. 800 units
  4. 900 units
Show answer
Answer: A. 1200 units
First, calculate the total production of Product A: 2500 + 3200 + 2800 = 8500 units. Next, calculate the total production of Product B: 1800 + 2500 + 3000 = 7300 units. Finally, find the difference: 8500 - 7300 = 1200 units.
Q12. The daily sales of a bookstore for five consecutive days were Rs. 1500, Rs. 2200, Rs. 1800, Rs. 2500, and Rs. 2000. What was the average daily sale for these five days?
  1. Rs. 2000
  2. Rs. 2050
  3. Rs. 1950
  4. Rs. 2100
Show answer
Answer: A. Rs. 2000
To find the average daily sale, sum all daily sales and divide by the number of days. Total sales = 1500 + 2200 + 1800 + 2500 + 2000 = Rs. 10000. Number of days = 5. Average daily sale = Total sales / Number of days = 10000 / 5 = Rs. 2000.
Q13. A factory manufactured 800 cars in 2020. In 2021, the production increased by 25% compared to 2020. In 2022, the production increased by 10% compared to 2021. What was the total number of cars manufactured in 2022?
  1. 1100
  2. 1000
  3. 1050
  4. 990
Show answer
Answer: A. 1100
Production in 2020 = 800 cars. Production in 2021 = 800 + 25% of 800 = 800 + (25/100)*800 = 800 + 200 = 1000 cars. Production in 2022 = 1000 + 10% of 1000 = 1000 + (10/100)*1000 = 1000 + 100 = 1100 cars.
Q14. In a school, the total number of students is 1200. The ratio of boys to girls is 3:2. Among the boys, 40% play cricket. Among the girls, 50% play badminton. What is the ratio of boys who play cricket to girls who play badminton?
  1. 9:5
  2. 6:5
  3. 12:5
  4. 3:2
Show answer
Answer: B. 6:5
Total students = 1200. Boys = (3/(3+2)) * 1200 = (3/5) * 1200 = 720. Girls = (2/(3+2)) * 1200 = (2/5) * 1200 = 480. Boys playing cricket = 40% of 720 = (40/100) * 720 = 288. Girls playing badminton = 50% of 480 = (50/100) * 480 = 240. Ratio = 288 : 240. Dividing both by 48, we get 6:5.
Q15. A family's monthly income is Rs. 40,000. They spend 20% on rent, 15% on food, 10% on transport, and 25% on education. The remaining amount is saved. How much money do they save in a month?
  1. Rs. 12000
  2. Rs. 10000
  3. Rs. 15000
  4. Rs. 18000
Show answer
Answer: A. Rs. 12000
Total percentage spent = 20% (rent) + 15% (food) + 10% (transport) + 25% (education) = 70%. Percentage saved = 100% - 70% = 30%. Amount saved = 30% of Rs. 40,000 = (30/100) * 40000 = 30 * 400 = Rs. 12000.
Q16. A fruit seller sold apples for Rs. 3000, oranges for Rs. 2500, and bananas for Rs. 2000 on Monday. On Tuesday, he sold apples for Rs. 3000, oranges for Rs. 2900, and bananas for Rs. 2200. What is the difference between the average daily sales of apples and the average daily sales of oranges over these two days?
  1. Rs. 350
  2. Rs. 400
  3. Rs. 300
  4. Rs. 250
Show answer
Answer: C. Rs. 300
Calculate total apple sales: 3000 (Monday) + 3000 (Tuesday) = 6000. Average daily apple sales = 6000 / 2 = Rs. 3000. Calculate total orange sales: 2500 (Monday) + 2900 (Tuesday) = 5400. Average daily orange sales = 5400 / 2 = Rs. 2700. Difference = Average daily apple sales - Average daily orange sales = 3000 - 2700 = Rs. 300.
Q17. In a library, there are three types of books: fiction, non-fiction, and comics. The ratio of fiction to non-fiction books is 5:3. The ratio of non-fiction to comics is 2:1. If there are 150 non-fiction books, what is the total number of books in the library?
  1. 425
  2. 475
  3. 500
  4. 525
Show answer
Answer: B. 475
Given non-fiction books = 150. From Fiction : Non-fiction = 5:3, if 3 parts = 150, then 1 part = 50. So, Fiction books = 5 parts = 5 * 50 = 250. From Non-fiction : Comics = 2:1, if 2 parts = 150, then 1 part = 75. So, Comics books = 1 part = 75. Total books = Fiction + Non-fiction + Comics = 250 + 150 + 75 = 475.
Q18. The price of an item was Rs. 5000 in January. In February, its price decreased by 10%. In March, its price further decreased by 20% of the February price. What is the final price of the item in March?
  1. Rs. 3600
  2. Rs. 3800
  3. Rs. 4000
  4. Rs. 3900
Show answer
Answer: A. Rs. 3600
January price = Rs. 5000. February price = 5000 - 10% of 5000 = 5000 - (10/100)*5000 = 5000 - 500 = Rs. 4500. March price = 4500 - 20% of 4500 = 4500 - (20/100)*4500 = 4500 - 900 = Rs. 3600.
Q19. A company has 1200 employees. 45% of the employees are in Department A, 30% are in Department B, and the remaining are in Department C. In Department A, the ratio of male to female employees is 2:1. In Department B, the ratio of male to female employees is 3:2. What is the total number of female employees in Department A and Department B combined?
  1. 300
  2. 324
  3. 348
  4. 360
Show answer
Answer: B. 324
Total employees = 1200. Employees in Department A = 45% of 1200 = (45/100) * 1200 = 540. Employees in Department B = 30% of 1200 = (30/100) * 1200 = 360. In Department A, ratio of Male:Female = 2:1. Total parts = 3. Female employees in A = (1/3) * 540 = 180. In Department B, ratio of Male:Female = 3:2. Total parts = 5. Female employees in B = (2/5) * 360 = 144. Total female employees in A and B combined = 180 + 144 = 324.
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