Data Interpretation Questions and Answers

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.

Answer: D

April's share is 24 per cent. The six bars read 25, 19, 30, 43, 35 and 27, which total 179. April has 43, so \[ \frac{43}{179} \times 100 \approx 24.0\% \] which is 24 to the nearest integer.

15%, 20% and 22% do not match 43 out of 179.

The share is worked out as the April bar over the total of all six bars, so 43 / 179 = 0.240 and the figure is 24 per cent.

Answer: A

The required percentage is about 104 per cent. Hockey players from school A number 125 and badminton players from school B number 120. 125/120 x 100 = 104.17, which is approximately 104 per cent. 96 per cent is the inverse ratio 120/125, and 98 and 102 per cent do not come from these two entries. The question compares two different cells of the table: hockey players in school A (125) and badminton players in school B (120). The ratio 125/120 is 25/24, which is about 1.0417, i.e. 104.17 per cent.

Answer: C

The decrease is 22 6/7 per cent. The graph shows 35 accidents in May and 27 in June, a decrease of 8. The percentage decrease is 8/35 x 100 = 22 6/7 per cent. The other options are computed from other pairs of months: for example 15 4/7 per cent and 27 3/7 per cent do not match 8/35. Percentage decrease is always worked out on the earlier figure, so the base is 35 for May and not 27 for June. Using 27 as the base would give 29 17/27 per cent, which is not an option.

Answer: C

In a pie chart the price of an article is its angle over 360 degrees times the total of 28800. The average price of A and B is J1, with A at 125 degrees and B at 75 degrees: the average angle is 100 degrees, so J1 = 100/360 x 28800 = 8000. The difference of G, at 60 degrees, and C, at 12 degrees, is 48 degrees, so J2 = 48/360 x 28800 = 3840.

\[ J1 - J2 = 8000 - 3840 = 4160 \]

So the value is 4160, option (C). The values 3840 and 5280 are the price of J2 and a wrong average.