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:
The number of auditionees in Behala who passed in the fifth round of ‘Dadagiri’ was found to be twice the number who got selected in the final. How many people auditioned for the first round in Behala ?
346
382
426
474
Let the number of people who auditioned for the first round of ‘Dadagiri’ in Behala be x
Hence the number of auditionees who passed the fifth round in Behala = x – (76+64+50+42+34) = (x – 266)
The number of auditionees who got selected in the final round in Behala = x – (266+36+22) = (x – 324)
Hence,
(x – 266) = 2*(x – 324)
or, x = 648 – 266
or, x = 382
Hence, the number of people who auditioned for the first round of ‘Dadagiri’ in Behala = 382