Quantitative Aptitude Notes

# Pie Chart – Data Interpretation

#### PIE CHART DI

I hope you are doing well. Data Interpretation carries about 20+ marks in MBA CET exam. In order to score in CET/CMAT exam, you should focus on DI to score maximum marks because students don’t find other Quant questions very comforting. A pie chart is easy to understand and solve using basic arithmetic concepts. It can be coupled with another pie chart or bar/numeric table/line graph to make the question look complex.

Example 1

The following pie-charts show the run scored by a batsman against different countries in one-day internationals (ODI) and Twenty (T20) world cup matches. Runs scored by the batsman in ODI and T20 are 2800 and 2000 respectively.

#### Runs scored by the batsman against New Zealand in T20 matches are approximate what percent of the runs scored against Pakistan in ODI?
1. 64%
2. 66%
3. 62%
4. Other than the given options
5. 68%

Solution:

Runs scored against NZ = 10% of 2000 = 200

Runs scored against Pakistan = 10.5% of 2800 = 294

Required percentage = (200/294)*100 = 68%

In case of which of the following countries, the difference between the runs scored in ODI and T20 is the second lowest?

1. Sri Lanka
2. Pakistan
3. South Africa
4. WI
5. Other than the given options

Solution:

 Countries T20 runs ODI runs Australia 230 490 England 180 308 Pakistan 190 294 Sri Lanka 250 252 South Africa 330 350 New Zealand 200 336 Zimbabwe 260 378 West Indies 360 392

It is clear from the table that second-lowest difference between ODI and T20 is for South Africa

Example 2 City Male:Female % Adult U 6:5 55% V 11:8 60% W 9:8 68% X 3:4 66% Y 2:1 72% Z 4:3 70%

The number of adults in city Y is approximately what per cent of the number of males in city X?

1. 70%
2. 72%
3. 66%
4. 68%
5. 74%

Solution:

 City Population Adults U 20 x 28000 = 560000 55 x 5600 = 308000 V 19 x 28000 = 532000 60 x 5320 = 319200 W 17 x 28000 = 476000 68 x 4760 = 323680 X 21 x 28000 = 588000 66 x 5880 = 388080 Y 9 x 28000 = 252000 72 x 2520 = 181440 Z 14 x 28000 = 392000 70 x 3920 = 274400

Total number of adults in city Y = 181440

Total number of males in city X = (3/7) * 588000 = 252000 (Explanation: M:F ratio of city X is 3:4 so Male population is (3/7) * Total population of city X)

Required percentage = (181440/252000) * 100 = 72%

What is the difference in the total number of males and the total number of females in city V?
1. 79000
2. 80000
3. 84000
4. 76000
5. 81000

Solution:

Males population in city V = (11/19) * Total population = (11/19) * 532000 = 308000

Female population = 532000 – 308000 = 224000

Required difference = 308000 – 224000 = 84000

#### Different types of DI sets asked in the exam

1. Line chart
2. Bar graph
3. Pie chart
4. Caselet
5. Numerical table
6. Mixed chart