XAT 2015 — QA & DI Question 27
Answer the following questions on the basis of 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.
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* 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%).
Which of the following parties received maximum number of “neutral tweets” in the year 2010?
Answer & solution
Party B
- B
Party C
- C
Party D
- D
Party E
- E
One of the parties categorised under ‘Other Parties’
Number of “natural tweets” for B, C, D and E are:
Party B: (100 – 30.4 – 29.7)% of 108128 = 0.399 × 108128
Party C: (100 – 32.5 – 26.6)% of 96620 = 0.409 × 96620 = (0.399 + 0.01) × 96620
Party D: (100 – 30.6 – 36.1)% of 41524 = 0.333 × 41524
Party E: (100 – 21.6 – 41.0)% of 32724 = 0.374 × 32724
Both the total number of tweets and the percentage of neutral tweets of B and C are greater than those of D and E. Hence, options 3 and 4 are eliminated.
Among B and C, number for party B is more than C.
Number of neutral tweets of B ≈ 0.4 × 108128 = 43251.2
Parties classified under ‘Other Parties’ have a total of 15000 tweets, which is significantly lower than the total number of tweets of the rest of the parties. Thus, ‘Other Parties’ cannot have the maximum number of neutral tweets even if all 15000 tweets are neutral. Hence, option (e) is eliminated.
Hence, option (a).