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Twitter Votes and Tweets Analysis

XAT 2015 · Quantitative Ability & Data Interpretation · Hard · Data Interpretation

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Passage / data set

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.

PartiesNumber of Votes (2000)Number of Votes (2005)Number of Votes (2010)Total No of Tweets (2010)Positive Tweets (%) (2010)Negative Tweets (%) (2010)
A329,700343,200364,450131,02133.30%35.40%
B133,450154,000241,325108,12830.40%29.70%
C196,250123,200162,52596,62032.50%26.60%
D27,47548,40054,17541,52430.60%36.10%
E-30,80049,25032,72421.60%41.00%
Other Parties*98,125180,400113,27515,000--
  • 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%).

Question 1 of 4

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. A.

    EBDCA

  2. B.

    EBCDA

  3. C.

    EBCAD

  4. D.

    BCEDA

  5. E.

    BCEAD

Answer

D

Explanation

Total votes in 2005 = 880,000. Total votes in 2010 = 985,000.

Vote shares: Party A: 2005 = 39%, 2010 = 37% => Gain = -2% Party B: 2005 = 17.5%, 2010 = 24.5% => Gain = +7% Party C: 2005 = 14%, 2010 = 16.5% => Gain = +2.5% Party D: 2005 = 5.5%, 2010 = 5.5% => Gain = 0% Party E: 2005 = 3.5%, 2010 = 5% => Gain = +1.5%

Descending order of gain in vote share: B, C, E, D, A (BCEDA).

Question 2 of 4

Which of the following parties received maximum number of "neutral tweets" in the year 2010?

  1. A.

    Party B

  2. B.

    Party C

  3. C.

    Party D

  4. D.

    Party E

  5. E.

    One of the parties categorised under 'Other Parties'

Answer

A

Explanation

Neutral tweet percentage = 100%−(Positive%+Negative%)100\% - (\text{Positive}\% + \text{Negative}\%) Party B: 100−30.4−29.7=39.9%100 - 30.4 - 29.7 = 39.9\%. Neutral tweets = 108128×0.399≈43143108128 \times 0.399 \approx 43143. Party C: 100−32.5−26.6=40.9%100 - 32.5 - 26.6 = 40.9\%. Neutral tweets = 96620×0.409≈3951796620 \times 0.409 \approx 39517. Party D: 100−30.6−36.1=33.3%100 - 30.6 - 36.1 = 33.3\%. Neutral tweets = 41524×0.333≈1382741524 \times 0.333 \approx 13827. Party E: 100−21.6−41.0=37.4%100 - 21.6 - 41.0 = 37.4\%. Neutral tweets = 32724×0.374≈1223932724 \times 0.374 \approx 12239.

Party B received the maximum number of neutral tweets.

Question 3 of 4

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. A.

    2.0%

  2. B.

    2.5%

  3. C.

    3.5%

  4. D.

    4.5%

  5. E.

    7.5%

Answer

B

Explanation

Total votes in 2000 = 785,000. Total votes in 2010 = 985,000.

Vote shares in 2000 vs 2010: Party A: 42% -> 37% (Gain: -5%) Party B: 17% -> 24.5% (Gain: +7.5%) Party C: 25% -> 16.5% (Gain: -8.5%) Party D: 3.5% -> 5.5% (Gain: +2.0%) Party E: <2% -> 5% (Gain: between 3% and 5%)

Possible gains are 2.0%, 7.5%, and values between 3% and 5% (like 3.5% and 4.5%). Thus, 2.5% cannot be a possible value for any party.

Question 4 of 4

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

  1. A.

    Party B

  2. B.

    Party C

  3. C.

    Party D

  4. D.

    Party E

  5. E.

    Other Parties

Answer

E

Explanation

Total tweets in 2010 = 425,017. Tweet share: Party A: 131021/425017=30.8%131021 / 425017 = 30.8\%, Vote share = 37% (Diff = 6.2%) Party B: 108128/425017=25.4%108128 / 425017 = 25.4\%, Vote share = 24.5% (Diff = 0.9%) Party C: 96620/425017=22.7%96620 / 425017 = 22.7\%, Vote share = 16.5% (Diff = 6.2%) Party D: 41524/425017=9.8%41524 / 425017 = 9.8\%, Vote share = 5.5% (Diff = 4.3%) Party E: 32724/425017=7.7%32724 / 425017 = 7.7\%, Vote share = 5.0% (Diff = 2.7%) Other Parties: 15000/425017=3.5%15000 / 425017 = 3.5\%, Vote share = 11.5% (Diff = 8.0%)

The maximum difference between vote share and tweet share is for 'Other Parties' (8.0%).

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