Directions for question:
In the audition for the 2022 edition of the mega quiz show 'Dadagiri', hosted by the former Indian cricket captain Mr Sourav Ganguly, there were seven rounds to be passed before getting selected for the final show.
The audition for the Kolkata segment took place simultaneously in five areas – Behala, Ballygunge, Dumdum, Shyambazar and Salt Lake.
The number of auditionees who failed in the different rounds in the five areas is given below :
|
Number of auditionees who failed |
||||||
|
1st Round |
2nd Round |
3rd Round |
4th Round |
5th Round |
6th Round |
7th Round |
Behala |
76 |
64 |
50 |
42 |
34 |
36 |
22 |
Ballygunge |
42 |
58 |
34 |
42 |
30 |
10 |
14 |
Dumdum |
64 |
50 |
48 |
40 |
34 |
26 |
20 |
Shyambazar |
56 |
52 |
56 |
38 |
28 |
20 |
8 |
Salt Lake |
86 |
74 |
52 |
38 |
42 |
26 |
18 |
Question:
If 240 people auditioned for the first round of ‘Dadagiri’ in Ballygunge, in which round was the percentage of passes at Ballygunge the fifth highest in rank ?
Fourth round
Third round
Second round
Cannot be determined
Since 240 people auditioned for the first round of ‘Dadagiri in Ballygunge’, the number of passes in each round of the audition in Ballygunge are as follows :
First round = 240 – 42 = 198
Second round = 198 – 58 = 140
Third round = 140 – 34 = 106
Fourth round = 106 – 42 = 64
Fifth round = 64 – 30 = 34
Sixth round = 34 – 10 = 24
Seventh round = 24 – 14 = 10
Hence the ratio of the pass percentages of the seven rounds in order will be
= 198/240 : 140/198 : 106/140 : 64/106 : 34/64 : 24/34 : 10/24
= 0.82 : 0.71 : 0.76 : 0.60 : 0.53 : 0.71 : 0.42
that is, highest : third highest : second highest : fifth highest : sixth highest : third highest : seventh highest in rank respectively
Hence, the round in which the percentage of passes in the auditions of ‘Dadagiri’ in Ballygunge area was the fifth highest in rank is the Fourth round.