Unit 6: Data Interpretation and Sufficiency - Practice Quiz

1 What does data interpretation mainly involve?

2 Which of the following is a common form of data presentation?

3 In a table, data arranged horizontally forms a what?

4 A table shows the number of books read by four students: Amit—4, Bina—7, Chetan—5, and Divya—6. Who read the most books?

5 What do the lengths or heights of bars in a bar graph represent?

6 A bar graph shows sales of 20 units on Monday and 35 units on Tuesday. How many more units were sold on Tuesday?

7 What is the total angle represented by a complete pie chart?

8 A sector of a pie chart has an angle of . What percentage of the whole does it represent?

9 A line moving upward from left to right usually indicates what?

10 A line graph shows temperatures of on Monday and on Tuesday. By how much did the temperature increase?

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

12 To determine the exact value of , which statement is sufficient?

13 The numbers of students in Class A and Class B are 30 and 45, respectively. How many more students are in Class B?

14 Which type of graph is generally most suitable for showing parts of a whole?

15 A table lists monthly expenses as: Food—, Travel—, and Books—. What is the total expense?

16 In a bar graph, the bars for apples and oranges have heights of 12 and 8 units. What is the difference between the values?

17 Half of a pie chart is used to represent one category. What angle does that category occupy?

18 A line graph shows a value of 50 in January and 40 in February. What happened to the value?

19 What should you check first in a data sufficiency problem?

20 What is the value of ? Statement I: . Statement II: . Which conclusion is correct?

21 The table shows units sold in two quarters: Product A: 120 and 150; Product B: 180 and 198; Product C: 160 and 200; Product D: 240 and 276. Which product or products recorded the highest percentage increase from Quarter 1 to Quarter 2?

22 A table gives units sold and price per unit for four regions: North: 80 units at $25; South: 120 units at $20; East: 100 units at $30; West: 150 units at $16. Approximately what percentage of the total revenue came from the East region?

23 A factory's monthly production was 420 units in January, 480 in February, in March, and 540 in April. If the average monthly production was 495 units, what was the production in March?

24 A double bar graph shows sales of four products in 2019 and 2020, respectively: P: 240 and 300; Q: 180 and 225; R: 320 and 400; S: 260 and 325. By how many units did combined sales increase in 2020?

25 A bar graph shows the daily output of five factories as 120, 150, 90, 180, and 210 units. What is the median daily output?

26 A bar graph shows visitors to a museum from Monday to Friday as 240, 300, 270, 360, and 330. What is the ratio of Thursday's visitors to the average number of visitors from Monday through Wednesday?

27 A monthly income of $72,000 is represented by a pie chart: Housing $30\%$, Food $25\%$, Transport $15\%$, Savings $20\%$, and Other expenses $10\%$. How much is allocated to Food and Savings together?

28 The sectors of a pie chart have central angles A: , B: , C: , D: , and E: . What is the ratio of the quantities represented by A and D?

29 In a survey of 2,400 people, preferred online learning. What central angle should represent this group in a pie chart?

30 A line graph records production from January to June as 120, 150, 135, 180, 210, and 195 units. Between which consecutive months was the largest percentage increase recorded?

31 A company's quarterly profit, shown on a line graph, was $80,000, $100,000, $120,000, and $140,000. What was the average quarterly profit?

32 Two line graphs show the quarterly sales of companies X and Y. X recorded 40, 60, 55, and 75 units, while Y recorded 50, 55, 65, and 70 units. In how many quarters did X have higher sales than Y?

33 A manager wants to present the change in total annual sales over five years and also show each product's share in the latest year. Which combination of charts is most suitable?

34 A bar graph compares sales of 82 units and 86 units, but its vertical axis begins at 80. Which interpretation is most accurate?

35 Three sections have the following numbers of students and average marks: Section A: 30 students with 68 marks; Section B: 40 students with 74 marks; Section C: 30 students with 82 marks. What is the combined average mark?

36 What is the value of ? Statement I: . Statement II: .

37 For an integer , is divisible by 6? Statement I: is divisible by 2. Statement II: is divisible by 3.

38 What is the area of a rectangle with positive dimensions? Statement I: Its length is 12 cm and its diagonal is 13 cm. Statement II: Its length is 12 cm and its perimeter is 34 cm.

39 Is the real number positive? Statement I: . Statement II: .

40 Can the average of five observations be determined? Statement I: Their sum is 75. Statement II: Their median is 15.

41 In a survey, 60% of respondents use service , 45% use , and 30% use . Also, 20% use both and , 15% use both and , 10% use both and , and 5% use all three. Pairwise percentages include respondents using all three. What percentage uses exactly two services?

42 Program A succeeds for 10 of 11 easy cases and 81 of 100 difficult cases. Program B succeeds for 90 of 100 easy cases and 8 of 10 difficult cases. Which conclusion is correct?

43 A workforce table gives the following data: Department P has 240 employees, of whom 40% are women; Department Q has 160 employees, and its number of men equals the number of women in P; Department R has 180 employees with a men-to-women ratio of . What percentage of the combined workforce is women?

44 A sales table lists products P, Q, and R. Their quantities sold are 120, 150, and 180 units; listed prices are $25, $20, and $15 per unit; and discounts are 20%, 10%, and 0%, respectively. What is the realized average selling price per unit across all products?

45 A grouped bar graph reports output indices with 2020 as the base year . Product A's 2020 output was 240 units and Product B's was 180 units. Their indices were 125 and 140 in 2023, then 150 and 120 in 2024. By what percentage did their combined actual output change from 2023 to 2024?

46 A bar graph shows production of 240, 300, 360, and 400 thousand units at plants P, Q, R, and S. Their defect rates are 5%, 4%, 2.5%, and 3%, respectively. What is the overall defect rate across all four plants?

47 One pie chart shows workforce shares across departments A, B, C, and D as 20%, 25%, 30%, and 25%. Another shows payroll shares as 18%, 30%, 27%, and 25%. Which department has the highest average pay, and what is its ratio to the lowest departmental average pay?

48 A family's annual expenditure is . In its expenditure pie chart, category C subtends . The next year, spending on C rises by 25% while every other category remains unchanged. What angle does C subtend in the new pie chart?

49 A pie chart distributes 2,400 examination candidates among centers A, B, C, and D in shares of 20%, 30%, 25%, and 25%. Their pass rates are 75%, 80%, 68%, and an unknown rate, respectively. If the overall pass rate is 75%, how many candidates failed at center D?

50 A line graph gives monthly demand from January through June as 120, 150, 135, 180, 165, and 210 units. Using consecutive three-month moving averages, what is the greatest percentage increase from one moving average to the next?

51 Two line graphs join consecutive observations by straight segments. At times , series A has values , while series B has values . What is the elapsed time between their two intersection points?

52 Observations taken at times have values . Which interpretation correctly accounts for the unequal time intervals?

53 For real numbers and , what is ?

I.

II.

54 For a positive integer , is divisible by ?

I. is divisible by both and .

II. is divisible by .

55 What is the area of a rectangle with positive side lengths?

I. Its perimeter is .

II. Its diagonal is .

56 For real numbers and , is ?

I.

II.

57 What is the integer ?

I. is prime and .

II. is odd and .

58 What is the real number ?

I. is an integer and .

II. and .

59 For positive real numbers and , what is the ratio ?

I.

II.

60 What is the population variance of three real observations ?

I. Their arithmetic mean is .

II. .