Data Interpretation Questions and Answers

Answer: A

The difference is 0. For CS, the average over the four activities is (20 + 25 + 25 + 22) / 4 = 92 / 4 = 23. For dance, the average over the four schools is (25 + 15 + 22 + 30) / 4 = 92 / 4 = 23. The difference is 23 - 23 = 0.

2, 3 and 5 would result only from misreading a cell in the table.

Answer: C

The person eats 100 g of fat.

The three fats together supply 20% + 20% + 5% = 45% of the 2,000 kcal, and every fat gives 9 kcal per gram:

\[ \begin{aligned} \text{Fat energy} &= 0.45 \times 2000 = 900\ \text{kcal} \\ \text{Fat mass} &= 900 / 9 = 100\ \text{g} \end{aligned} \]

44.4 g is the saturated (or unsaturated) fat alone, \(400/9\). 77.8 g is \(700/9\), which uses the 35% carbohydrate share by mistake. 3,600 multiplies the fat energy by 4 instead of dividing by 9.

Answer: C

There are 11 pixels with \(U \le 4\).

Count row by row the entries that are 4 or less:

• Row 1 (0, 1, 0, 2): all 4
• Row 2 (4, 7, 3, 3): 4, 3, 3, that is 3
• Row 3 (5, 5, 4, 4): the two 4s, that is 2
• Row 4 (6, 7, 3, 2): 3 and 2, that is 2

The total is 4 + 3 + 2 + 2 = 11. Counting only values strictly below 4 drops the three 4s and gives 8, which is the trap in option B. 9 and 3 miss further entries.

Answer: A

She earned ₹ 6,100 per shift on average.

The mean number of patients per shift, weighted by the number of shifts, is

\[ \begin{aligned} \bar{X} &= \frac{5(20) + 6(40) + 7(30) + 8(10)}{100} \\ &= \frac{100 + 240 + 210 + 80}{100} = 6.3 \end{aligned} \]

The earning is linear in X, so the average earning is \(1000(\bar{X} - 0.2) = 1000(6.1) = 6100\) rupees. 6,300 is the mean number of patients times 1000, forgetting to subtract the 0.2 per shift. Because the earning rule is linear, averaging X first and averaging the earnings shift by shift give the same 6,100.

Answer: D

The interest is in the ratio 4:3.

In 2006 the graph gives P's rate as 6% and Q's as 4%. Interest is amount times rate, so with amounts in the ratio 8:9:

\[ \begin{aligned} \frac{I_{P}}{I_{Q}} &= \frac{8 \times 6}{9 \times 4} \\ &= \frac{48}{36} = \frac{4}{3} \end{aligned} \]

P earns more despite the smaller deposit because its rate is one and a half times Q's. The ratios 2:3, 3:4 and 6:7 all put Q ahead, which would need Q's rate to be the higher one, as it was in 2002, 2004 and 2005 but not in 2006.

Answer: B

The largest revenue share comes from Executive.

Add the four quarters for each razor and multiply by its price:

\[ \begin{aligned} \text{Elegance} &= 102510 \times 48 = 4920480 \\ \text{Smooth} &= 80059 \times 63 = 5043717 \\ \text{Soft} &= 72186 \times 78 = 5630508 \\ \text{Executive} &= 39284 \times 173 = 6796132 \end{aligned} \]

Executive sells the fewest pieces but its price is more than twice that of any other razor, so it earns the most. Elegance sells the most pieces, which is the trap, but at the lowest price it earns the least.

Answer: D

The share of renewables rose by 62.5%.

Add the Hydro, Solar and Wind shares for each year:

\[ \begin{aligned} 2007: &\ 30 + 5 + 5 = 40\% \\ 2023: &\ 35 + 20 + 10 = 65\% \\ \text{increase} &= \frac{65 - 40}{40} \times 100 = 62.5\% \end{aligned} \]

Since the total generation is unchanged, the rise in share is also the rise in renewable output.

25% is the increase in percentage points (65 - 40), not the percentage increase. 50% and 77.5% do not follow from the shares in the two charts.

Answer: D

About 86% of the budget is not spent on savings.

First total the budget, then take the savings share away from 100%:

\[ \begin{aligned} \text{Total} &= 4000 + 1200 + 2000 + 1500 + 1800 \\ &= 10500 \\ \text{Savings} &= \frac{1500}{10500} \times 100 \approx 14.3\% \\ \text{Not savings} &\approx 100 - 14.3 = 85.7\% \end{aligned} \]

14% is the share that is saved, the trap answer for anyone who misses the NOT. 10% and 81% match no ratio of the table's figures.

Answer: B

The slice needs 144 degrees.

A full pie chart is 360°, and each slice is the same fraction of 360° as its share of the total:

\[ 0.40 \times 360^{\circ} = 144^{\circ} \]

120° is a third of the circle (about 33%), and 160° is about 44%. 212° is close to the 60% remainder (216°), the slice for deaths not attributed to drunken driving, not the 40% asked for.

Answer: C

The path is best described as Down-Up-Down.

Read the heights from the contours, which are 25 m apart. P lies inside the innermost contour of the left-hand hill, above 550 m, so the path starts near a summit and first goes down, crossing the hill's contours outward into the lower ground between the two hills. It then climbs the right-hand hill, crossing its contours inward past 550 m and through the small 575 m closed contour at the top: up. Q lies outside that 575 m loop but inside the 550 m contour, so the last stretch drops a little from the top: down.

Options beginning 'Up' are wrong because P is already at a peak. 'Down-Up-Down-Up' adds a final climb that the path does not make, since Q is lower than the summit the path crosses.