Data Interpretation Capsules - Edwin Jose, CAT DILR 100 Percentiler - Set 10

[mbatious]

Answer the following questions on the basis of information given below:

The graph given below shows the statistics of 12 Cricket players. Each point on the graph indicates the average score per match of a player and the number of matches played by that player. Each of the players plays for one of the four teams - Team 1, Team 2, Team 3 and Team 4.

(1) If only the runs scored by the above mentioned 12 players are considered then which team has got the maximum aggregate score?
(a) Team 1
(b) Team 2
(c) Team 3
(d) Team 4

(2) How many players are there who have played more than 200 matches and have scored less than 9,000 runs?
(a) 2
(b) 3
(c) 4
(d) 5

(3) What is the overall average score of those players of Team 4, whose averages are better than the average of that player who has played the second highest number of matches for Team 3?
(a) 41.16
(b) 42.50
(c) 42.07
(d) 43.40

Solution:

(1) Option D
Team 4 has scored the maximum runs through the mentioned players.

(2) Option B
Only 3 players have scored less than 9,000 runs even after playing more than 200 matches.

(3) Option C
Player 1 and Player 2 of Team 4 have better averages than Player 2 of Team 3.
Runs scored by Player 1 and Player 2 of Team 4 = 13600 + 10800 = 24400
Matches played by them = 340 + 240 = 580
Average score = 24400/580 = 42.07

Directions: Answer the questions on the basis of the information given below.

The political parties mentioned in the graph given below participated in a constituency election. The graph shows the number of votes received by the candidates of six major parties and other smaller parties in Round 1 of the election. The election is held as follows: In Round 1, if a candidate gets more than 50% of the total number of votes cast in that round, (s)he is declared the winner of the election, else, top 5 candidates based on the number of votes move to Round 2. In Round 2, if a candidate gets more than 50% of the total number of votes cast in that round, (s)he is declared the winner of the election, else, top 3 candidates based on the number of votes move to Round 3. In Round 3, the candidate who gets the maximum number of votes in that round is declared the winner of the election. Assume that there are no ties in deciding top 5, top 3 (if Round 2 happens) candidates or the winner (if Round 3 happens) in Round 3.

(1) Among the five candidates who moved to Round 2, the candidate with the maximum number of
votes in Round 1 got what percentage of the total number of votes in that round?
(a) 17.4 %
(b) 19.8%
(c) 16.5%
(d) 18.2%

(2) If the votes received by the candidates of Samajik Party and Hindu Muslim Party in Round 1 are not taken into account, then by what percentage points does the share of “Others” increase?
(a) 0.64
(b) 0.74
(c) 0.84
(d) 0.94

(3) If 1 Million votes are cast in Round 2 and 3 Million votes are cast in Round 3, then what is the minimum total number of votes needed by a candidate to be declared the winner of the election?
(a) 26,38,194
(b) 21,38,195
(c) 21,38,193
(d) 26,38,195

Solution:

(1) C
In Round 1, the total number of votes cast is1,00,00,000. The candidate with the maximum number of votes gets 16,52,754 votes or 16.5% of the total number of votes.

(2) B
The total number of votes becomes 67,23,323. Then “Others” will have 1,51,325/67,23,323 = 2.25% share. This means an increase of 0.74 percentage points over the original 1.51% share.

(3) A
Among the candidates who enter Round 2, the Kongress candidate has got the least number of votes which is 16,38,192. The minimum number of votes required for him to move from Round 2 to Round 3 is 1. For this to happen, the last two candidates should get 0 votes each and the top two candidates should get 10,00,000 and 9,99,999 votes respectively. In Round 3, the least that he should get is 1 vote more than one third of the total number of votes cast. So he should get at least 10,00,001 votes. So the minimum number of total votes required by a candidate to win the election is 26,38,194 (by theKongress candidate).

Directions: Answer the questions on the basis of the information given below.
The break-up of the financial budget of a country called Chaupatland for FY 2010-11 is represented by the pie charts given below. Pie chart A represents Budgeted Revenue and pie chart B represents Budgeted Expenditure.

Budgeted Revenue was less than Budgeted Expenditure by Rs. 625 thousand crores. Interest Payment exceeded Non-Planned Capital Account by 12% of Budgeted Expenditure. Non-Tax Revenue was Rs. 285 thousand crores less than Tax Revenue.

(1) The difference between Budgeted Expenditure and Budgeted Revenue was what percentage of Budgeted Revenue?
(a) 120%
(b) 125%
(c) 25%
(d) 20%

(2) By how much did the sum of Planned Revenue Account and Planned Capital Account exceed Non-Tax Revenue?
(a) Rs. 281.25 thousand crores
(b) Rs. 236.25 thousand crores
(c) Rs. 186.25 thousand crores
(d) Rs. 88.25 thousand crores

(3) In FY 2011-12, if Budgeted Revenue is increased by 52% over that of the previous year, then what will be the new percentage share of Tax Revenue in Budgeted Revenue?
(a) 50%
(b) 76%
(c) 56%
(d) Cannot be determined

Solution:

Let Interest Payment be x% and Non-Planned Capital Account be y% of Budgeted Expenditure. From pie chart B, x + y = 22% and x – y = 12%. Thus, x = 17 and y = 5.
Now 76% – 19% i.e. 57% of Budgeted Revenue is given as Rs. 285 thousand crores.
Thus Budgeted Revenue = Rs. 500 thousand crores.
Budgeted Expenditure = Budgeted Revenue + Rs. 625 thousand crores
= Rs. 1125 thousand crores.

(1) B
The difference between Budgeted Expenditure and Budgeted Revenue when expressed as a percentage of Budgeted Revenue 625/500 *100 = 125%

(2) C
The sum of Planned Revenue Account and Planned Capital Account (Rs. 281.25 thousand crores) exceeded the Non-Tax Revenue (Rs. 95 thousand crores) by Rs. 186.25 thousand crores.

(3) D
Since nothing is mentioned about the break-up of Budgeted Revenue in FY 2011-12, the percentage share of Tax Revenue cannot be determined.