CAT 2022 Slot 2 QA Q11 Ratio, Mixtures & Averages

Question 11 of the Quantitative Ability (QA) section, CAT 2022 Slot 2, with CAT's official answer and a worked solution.

In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1 : 2 : 3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was
  1. A
    40192
  2. B
    60288
  3. C
    50240
  4. D
    62800

Answer: (D) 62800 Ratio, Mixtures & Averages MCQ

Solution

  1. The other 70% of cast votes split \(1:2:3\): about 11.67%, 23.33%, 35%.
  2. Winner 35%, runner-up 30%: difference 5% of cast votes \(=2512\), so cast \(=50240\).
  3. Cast is 80% of registered: registered \(=50240/0.8=62800\).

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