Unit 6: Data Interpretation and Data Sufficiency - Practice Quiz

1 A bar graph shows that a shop sold 20 pens on Monday and 35 pens on Tuesday. How many more pens were sold on Tuesday?

2 In a bar graph, the bar for Class A represents 40 students and the bar for Class B represents 50 students. Which class has more students?

3 A bar graph records the number of books read by four students: Ravi 4, Sita 7, Mohan 5, and Tina 6. Who read the most books?

4 A table shows the following marks: Mathematics 70, Science 65, English 75, and History 60. Which subject has the highest marks?

5 A table shows that a bus carries 45 passengers in the morning and 30 passengers in the evening. What is the total number of passengers?

6 A table lists the daily temperatures as Monday C, Tuesday C, Wednesday C, and Thursday C. Which day was the coolest?

7 A pie chart represents a total of 100 students. If the sector for boys represents 60 students, how many students are girls?

8 In a pie chart, a quarter of the circle represents students who prefer cricket. What percentage of students prefer cricket?

9 A pie chart shows that 40% of a company's employees work in sales. If the company has 200 employees, how many work in sales?

10 A line graph shows temperatures of C on Monday and C on Tuesday. What was the increase in temperature?

11 A line graph shows a steady increase in the number of visitors to a museum from January to April. What does this indicate?

12 A line graph records sales of 10, 15, 20, and 25 units over four days. On which day were sales highest?

13 A bar graph shows 30 red balls and a pie chart shows 20 blue balls in the same collection. Which color has more balls?

14 A table shows that a student scored 80 marks in Mathematics. A line graph shows that the student's Science score was 75 marks. What is the difference between the scores?

15 A pie chart shows that 50% of a school's students use the bus. A table shows that the school has 400 students. How many students use the bus?

16 A histogram is mainly used to represent the distribution of which type of data?

17 In a histogram, the horizontal axis usually represents what?

18 A histogram has a tallest bar for the class interval -. What does this show?

19 What is the main purpose of a data sufficiency question?

20 What is the value of ? Statement 1: . Statement 2: is a positive number. Which statement is sufficient by itself?

21 A bar graph shows the annual sales of four branches A, B, C, and D. Their sales in 2023 were , , , and lakh, respectively, while their sales in 2024 were , , , and lakh. By approximately what percentage did the total sales increase from 2023 to 2024?

22 A grouped bar graph shows the sales targets of four stores as , , , and units, and their actual sales as , , , and units. What was the overall target-achievement percentage?

23 A bar graph shows male and female employees in three departments. Department P has males and females, Q has males and females, and R has males and females. Females constitute approximately what percentage of all employees?

24 A table gives revenue and expenditure, in lakh, for four companies: A , B , C , and D . Which company has the highest profit as a percentage of revenue?

25 A population table records people in 2021, in 2022, in 2023, and in 2024. What was the percentage increase in population from 2021 to 2024?

26 A student's grade points and course credits are: Mathematics , Statistics , Economics , and Computing , where each pair represents (grade point, credits). What is the credit-weighted average grade point?

27 A pie chart of a monthly income allocates angles of to rent, to food, to transport, to savings, and to other expenses. If the monthly income is , how much is saved?

28 A company's market share is in the current year. In the next year, the total market grows by and the company's share rises to . By what percentage do the company's sales increase?

29 A pie chart divides students among Engineering, Science, Commerce, Arts, and Management using angles of , , , , and , respectively. How many students study either Engineering or Science?

30 A line graph shows yearly output as , , , , and units for 2020 through 2024. During which interval was the percentage increase in output the greatest?

31 A line graph shows the annual profits of Company A as , , , and lakh and those of Company B as , , , and lakh over four years. By how much does A's average annual profit exceed B's?

32 A line graph records temperatures of C, C, C, C, C, and C over six days. On how many days was the temperature above the six-day average?

33 A mixed graph shows units sold by products P, Q, R, and S as , , , and , while their prices per unit are , , , and , respectively. Which product generated the highest revenue?

34 A mixed graph shows monthly advertising expenditure of , , , and from January to April, while leads generated were , , , and . In which month was advertising cost per lead the lowest?

35 A mixed graph shows monthly production of , , , and units, with rejection rates of , , , and , respectively. What was the overall rejection percentage?

36 A histogram has class intervals -, -, -, -, and - with frequencies , , , , and , respectively. Which interval contains the median observation?

37 A histogram has class intervals -, -, -, -, and - with frequencies , , , , and . Using class midpoints, what is the estimated mean?

38 What is the value of ? Statement I: . Statement II: is a positive even integer less than .

39 What is the area of a rectangle? Statement I: Its perimeter is cm. Statement II: Its length is cm.

40 Is the positive integer divisible by ? Statement I: is divisible by . Statement II: is divisible by .

41 A bar graph shows the annual revenue and operating cost, in lakh rupees, of a company over five years:

| Year | Revenue | Operating cost |
|---|---:|---:|
| 1 | 480 | 360 |
| 2 | 600 | 450 |
| 3 | 720 | 504 |
| 4 | 800 | 620 |
| 5 | 900 | 675 |

What is the company's combined operating profit as a percentage of its combined revenue over all five years?

42 A grouped bar graph shows output and defective units at four factories:

| Factory | Output | Defective units |
|---|---:|---:|
| A | 800 | 24 |
| B | 1200 | 42 |
| C | 1500 | 45 |
| D | 1000 | 39 |

Factory A increases output by 10% without changing its number of defective units. Factory C reduces output by 20%, with its defective units decreasing in the same proportion. Outputs and defects at B and D remain unchanged. What is the new overall defect rate?

43 A bar graph shows first-round votes received by candidates A, B, C, and D as 120, 90, 60, and 30 thousand, respectively. Candidate D is eliminated. Of D's votes, 40% transfer to A, one-third transfer to B, and the remainder transfer to C. After the transfer, by what percentage does A's vote total exceed B's vote total, measured relative to B's new total?

44 The table gives prices and quantities for three commodities in a base year and a current year:

| Commodity | | | | |
|---|---:|---:|---:|---:|
| A | 4 | 10 | 5 | 12 |
| B | 6 | 8 | 8 | 6 |
| C | 10 | 5 | 9 | 7 |

Using the Fisher price index , where and , what is the Fisher price index?

45 The table shows applicants and admitted candidates by department and group:

| Department | Group M applicants | Group M admitted | Group F applicants | Group F admitted |
|---|---:|---:|---:|---:|
| X | 200 | 80 | 100 | 50 |
| Y | 100 | 60 | 300 | 150 |
| Z | 200 | 50 | 100 | 20 |

Across all departments, by how many percentage points does the overall admission rate of Group F exceed that of Group M?

46 A table gives 2022 revenue, the change in 2023 revenue, and the 2023 profit margin for three regions:

| Region | 2022 revenue (lakh) | 2023 change | 2023 profit margin |
|---|---:|---:|---:|
| R | 400 | Increase of 20% | 25% |
| S | 500 | Decrease of 10% | 20% |
| T | 300 | Increase of 40% | 15% |

What is the combined profit margin of the three regions in 2023?

47 A pie chart represents a household's monthly expenditure of ₹50,000. Rent accounts for 30%, food for 24%, transport for 12%, and all other expenses for 34%. In the next month, rent rises by 20%, food falls by 10%, transport rises by 25%, and all other expenses remain unchanged. What percentage of the new total expenditure is spent on rent?

48 Two pie charts show the distribution of a company's 1,200 employees and its annual payroll of ₹60 million. Department A has 20% of employees and 18% of payroll, while Department B has 25% of employees and 32% of payroll. What is the ratio of the average salary in Department B to that in Department A?

49 A ₹720 million investment portfolio is represented by a pie chart: equity occupies , debt , gold , and cash . Equity loses 12.5% of its value. Half of this loss is transferred to debt and the other half is withdrawn from the portfolio. An additional ₹30 million is then invested in cash. What central angle does equity occupy in the new portfolio?

50 A line graph records a machine's power demand at times and hours as 40, 70, 50, and 80 kW, respectively. Assuming demand changes linearly between consecutive observations, what is the time-weighted average power demand over the eight-hour period?

51 A line graph shows a production index of 100, 120, 108, 135, and 121.5 at the ends of five consecutive years. What is the compound average annual growth rate from the first observation to the fifth observation?

52 Two piecewise-linear lines A and B have the following values:

| | 0 | 2 | 4 | 6 |
|---|---:|---:|---:|---:|
| A | 20 | 50 | 30 | 60 |
| B | 40 | 30 | 45 | 45 |

Assuming linear variation between plotted points, what is the sum of all values of at which the two lines intersect for ?

53 A mixed graph uses bars for quantities sold and lines for unit prices of products A, B, and C:

| Product | 2022 quantity | 2022 price | 2023 quantity | 2023 price |
|---|---:|---:|---:|---:|
| A | 100 | ₹20 | 120 | ₹18 |
| B | 150 | ₹12 | 135 | ₹15 |
| C | 200 | ₹8 | 250 | ₹7.20 |

By what percentage did total sales revenue increase from 2022 to 2023?

54 A mixed graph shows output bars of 500, 800, and 700 units for plants A, B, and C, with line-graph rejection rates of 4%, 2.5%, and 5%, respectively. Plant C then increases output by 10% and reduces its rejection rate to 3%; the other plants remain unchanged. By what percentage does the total number of accepted units increase?

55 A mixed graph shows quarterly units sold as bars and average prices as lines:

| Product | Q1 units | Q1 price | Q2 units | Q2 price |
|---|---:|---:|---:|---:|
| A | 400 | ₹30 | 500 | ₹27 |
| B | 300 | ₹40 | 360 | ₹42 |
| C | 500 | ₹20 | 450 | ₹24 |

What percentage of the total revenue increase from Q1 to Q2 is contributed by product B?

56 A histogram has class intervals -, -, -, -, and -, with frequencies 5, 9, 16, 12, and 8, respectively. One observation originally in the - interval is corrected and moved to the - interval. Using grouped-data interpolation, by how much does the estimated median change?

57 A frequency-density histogram has the following intervals and bar heights:

| Interval | Frequency density |
|---|---:|
| - | 2.0 |
| - | 1.5 |
| - | 4.0 |
| - | 1.0 |

If 20% of the observations in the - interval are removed and all other frequencies remain unchanged, what percentage of the remaining observations lie from 5 up to 20?

58 For real numbers and , what is the value of ?

Statement I: .

Statement II: .

59 For a positive integer , is divisible by 24?

Statement I: is divisible by 8.

Statement II: is divisible by 6

60 What is the value of the real number ?

Statement I: .

Statement II: .