CAT 2025 Lesson : Data Tables - Case 6

Directions for questions 20 to 23: Answer the questions on the basis of the information given below.

Twitter allows its users to post/share and read short messages known as tweets. Tweets can be of three types – Positive Tweets (in support), Negative Tweets (against) and Neutral Tweets. The following table presents the Number of Votes and Tweets received by certain political parties.



* Any party which has secured less than 2% of the total votes falls under ‘Other Parties’ category. For example, Party E secured less than 2% of total votes, in the year 2000. Note: If the vote share (%age of total votes) of a party changes from 15% to 40%, gain in vote share would be 25% (= 40% – 15%).
[XAT 2015]

20) Which of the following options correctly arranges the political parties in descending order of gain in vote share from the year 2005 to the year 2010?

(1) EBDCA
(2) EBCDA
(3) EBCAD
(4) BCEDA
(5) BCEAD

21) Which of the following parties received maximum number of “neutral tweets” in the year 2010?

(1) Party B
(2) Party C
(3) Party D
(4) Party E
(5) One of the parties categorised under ‘Other Parties’

22) Between 2000 and 2010, in terms of gain in vote share which of the following cannot be a possible value (approximated to one decimal place) for any party?

(1) 2.0%
(2) 2.5%
(3) 3.5%
(4) 4.5%
(5) 7.5%

23) In 2010, which of the following options has maximum difference between the vote share and tweet share?

(1) Party B
(2) Party C
(3) Party D
(4) Party E
(5) Other Parties

Solution

20)

The working using basics of percentages is detailed below.



As we are converting the vote % of the year 2000 as 100%, we are bringing the total votes to 1000 so that calculations become simpler.



As $20$

[It is close to 942 and to bring it to 1000 we will add an extra of 7.5%].

Note that the actual value is in terms of 100%, so divide 1000 by 10 to conclude the actual value.

As 27.5% is a complex percentage, we can break it into 2 parts as 25% + 2.5%.



As we are converting the votes% of the year 2005 as 100%, we are bringing the total votes to 1000 so it becomes simpler to calculate.

As $10$

[It comes close to 968 and bring it to 1000 we need extra 4% (approx.)].

Note that the actual value is in terms of 100%, so divide 1000 by 10 to conclude the actual value.



As we are converting the vote % of the year 2010 as 100%, we are bringing the total votes to 1000 so it becomes simpler to calculate.

As $1.5$

Note that the actual value is in terms of 100%, so divide 1000 by 10 to conclude the actual value.



As we are converting the vote % of the tweeted year 2010 as 100%, we are bringing the total votes to 1000 so it becomes simpler to calculate.

The total tweets are 425 and to bring it to 1000 we have to multiply by 2 and increase by $\dfrac{1}{6}$ , then divide by 10 to get the actual percentage.





The parties should be arranged in descending order of the gain from the year 2005 - 2010.



B has the highest gain from all other parties, followed by C, E, D and A. So option 4 is the right choice.

Answer: (4) BCEDA

21)

Total tweets = Positive tweets + Negative tweets + Neutral tweets.

Neutral tweets = Total tweets - Positive tweets - Negative tweets.

Party B = $100 - 30.4 - 29.7 = 39.9$

= $\dfrac{40}{100} \times 108128 = 43251.2$

Party C =$100 - 32.5 - 26.6 = 40.9$

= $\dfrac{41}{100} \times 96620 = 39614.2$

Party D =$100 - 30.6 - 36.1 = 33.3$ ≈ 34%

=$\dfrac{34}{100} \times 41524 = 14118.16$

Party E =$100 - 21.6 - 41 = 37.4$ ≈ 38%

= $\dfrac{38}{100} \times 32724 = 12435.12$

For Other Parties it's not given, but they cannot have the maximum number of neutral tweets. So we can eliminate it directly.

Among B and C, the number for party B is higher than that of party C.

Answer: (1) Party B

22)

The table represents the individual vote share and gain in vote share from party A to E.



Since for Party E the value of year 2000 was given to be less than 2%.

E's share can have a value ranging from 0% to 2% and the difference of vote share can range from 3% to 5%, which means that 3.5% and 4.5% can lie within the range. Since option (2) doesn't match any of the above differences, so this will be the definite answer.

Answer: (2) 2.5%

23)

The table represents the vote share and tweet share from party A to others party in 2010.



Since party A is not given in the options, we can definitely eliminate it. But other parties has a huge difference of vote share compared to tweet share with a maximum difference of 8. So option 5 is the right choice.

Answer: (5) Other Parties

Answer:
20) (4) BCEDA
21) (1) Party B
22) (2) 3.5%
23) (5) Other Parties