Data Interpretation Questions and Answers

Answer: D

The wrong statement is total number of patients was 200.

Add the six days:

\[ 25 + 38 + 45 + 18 + 36 + 39 = 201 \]

The other statements are correct: the range is \(45 - 18 = 27\); the number exceeded 30 on four of the six days (Tuesday, Wednesday, Friday, Saturday); and the Monday-Wednesday difference is \(45 - 25 = 20\).

Answer: A

The difference is 60 marks.

The whole pie of 360° represents 540 marks, so each degree stands for 1.5 marks. Mathematics has 90° and English 50°:

\[ \begin{aligned} \text{Difference} &= (90 - 50) \times \frac{540}{360} \\ &= 40 \times 1.5 = 60 \end{aligned} \]

40 is the difference in degrees, forgetting to convert to marks.

Answer: D

The sum is 835 crore rupees. The graph gives profit percentages of 45 (2019), 30 (2020), 40 (2021) and 55 (2022). In 2022 the income is 620 with a profit of 55 %, so the expenditure is \[\frac{620}{1.55} = 400\] In 2019 the expenditure is 300 with a profit of 45 %, so the income is \[300 \times 1.45 = 435\] The required sum is 400 + 435 = 835. The option 780 would come from using the wrong year's profit, and 810 and 825 do not follow from these values.

Answer: C

The difference is 28800 rupees. The sales in each month follow from the angles of the pie chart, out of 360 degrees and 1800 phones, so each degree stands for 5 phones. January: 82.8 x 5 = 414. March: 50.4 x 5 = 252. April: 73.8 x 5 = 369. May: 91.8 x 5 = 459. January and March: (414 + 252) x 1200 = 666 x 1200 = 799200. April and May: (369 + 459) x 1000 = 828 x 1000 = 828000. The difference is 828000 - 799200 = 28800. February is not used in the question, and options such as 28200 and 28400 do not match this calculation.

Answer: C

The total is 5150 rupees. Reading the triangular graph, each point shows the share of the three items. P has 25 % on item A, 50 % on item B and 25 % on item C. R has 12.5 % on A, 37.5 % on B and 50 % on C. S has 50 % on A, 37.5 % on B and 12.5 % on C. P on item C: 25 % of 4000 = 1000. R on item B: 37.5 % of 6400 = 2400. S on item A: 50 % of 3500 = 1750. The sum is 1000 + 2400 + 1750 = 5150. The values were read from the grid lines, with R marked as the midpoint of the values below and above it, as the question notes.

Answer: B

The bar chart gives the cost of four items on a scale from 0 to 2500. The bar for rice rises to the gridline marked 1500, while wheat is at about 1200, oil is at 2000 and vegetables are at about 800. The question asks for the cost of rice, which is read straight from the height of its bar, 1500. The value 1200 is the height of the wheat bar, and 1400 and 1300 are not the height of any bar. The answer is 1500, option B.

Answer: A

There are 286 students in class VI. Add the students in each row of the table across the three sections. Failed in both: 14 + 21 + 15 = 50. Failed in the half-yearly but passed in the annual: 12 + 10 + 9 = 31. Passed in the half-yearly but failed in the annual: 8 + 14 + 11 = 33. Passed in both: 52 + 58 + 62 = 172. The four groups cover every student exactly once, so the total is 50 + 31 + 33 + 172 = 286. The option 172 is only the number who passed both exams, and 276 and 196 do not match any sum of the groups.

Answer: C

The year is 2019. For each year the production of types B2 and B3 together is compared with that of B4 and B5 together.

\[ 2017:\ 14+21=35,\ 6+20=26 \]

\[ 2018:\ 14+16=30,\ 9+16=25 \]

\[ 2019:\ 16+13=29,\ 10+19=29 \]

\[ 2020:\ 15+14=29,\ 26+16=42 \]

The two sums are equal only in 2019, where both come to 29. In 2017 and 2018 the B2 and B3 total is larger, and in 2020 the B4 and B5 total is larger.

Answer: A

The order is Games, Dance, Academic, Music. Averaging the four schools for each activity:

Descending, that is Games, Dance, Academic, Music, which is option A and not the orders in B, C and D.

The question asks for the average number of students, which is taken to be the average of the four percentage figures for each activity, because all the schools are compared on the same percentage scale. Dance has a higher average than Academic only because DS has 30 in dance against 15 in academic, which is why Dance sits between Games and Academic.

Answer: C

Medicine is 104.76% of science. From the chart, medicine is 22% of the 3600 students and science is 21%. As a share of science:

The 3600 cancels out. 56.89% and 73.25% are wrong ratios of other pairs, and 10.76% is the figure with the leading 1 missing.

The question gives the 3600 students, but the ratio of the two groups does not depend on it: 22% of 3600 is 792 and 21% of 3600 is 756, and 792 / 756 = 1.0476, which is 104.76%. The answer is above 100% because the medicine group is larger than the science group.