CAT 2022 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like **Speed-time-distance**, **Mixture and Alligations**. This year, there was a surprise. The questions from **Geometry** were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 11 : 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

- 40192
- 60288
- 50240
- 62800

Limited Seats Available - Register Now!

One candidate got 30% of the polled votes, the remaining three got in the ratio of 1 : 2 : 3

The polled votes were split in 3 : 7 ratio.

The 70% of them were again split in the ratio 1 : 2 : 3

The votes were polled in the ratio of 6(3) : 7(1 : 2 : 3)

18 : 7 : 14 : 21

Let’s assume that the actual polled votes are 18x, 7x, 14x, 21x

The winner of the election received 2512 votes more than the candidate with the second highest votes.

21x - 18x = 2512

3x = 2512

Total polled votes = 18x + 7x + 14x + 21x = 60x = 20(3x) = 20(2512) = 50,240

The polled votes represent 80% of the total registered votes.

Total registered votes = 50,240 + 12,560 = 62,800.

Choice D is the correct answer.

Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.

Privacy Policy | Terms & Conditions

CAT^{®} (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.

2IIM Online CAT Coaching

A Fermat Education Initiative,

58/16, Indira Gandhi Street,

Kaveri Rangan Nagar, Saligramam, Chennai 600 093

**Mobile:** (91) 99626 48484 / 94459 38484

**WhatsApp:** WhatsApp Now

**Email: **info@2iim.com