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 the number of auditionees who got selected in the final show of ‘Dadagiri’ in Dumdum was equal to that in Salt Lake, what was the difference between those who passed the second round in both the above areas ?
54
22
8
Cannot be determined
Let the number of people who auditioned for the first round of ‘Dadagiri’ in Dumdum and Salt Lake be x and y respectively
Hence the number of auditionees who got selected in the final round in Dumdum and Salt Lake respectively
= x – (64+50+48+40+34+26+20) and y – (86+74+52+38+42+26+18)
= (x – 282) and (y – 336)
Since both the values are equal,
(x – 282) = (y – 336)
or, (y – x) = 54
The number of auditionees who passed the second round of ‘Dadagiri’ in Dumdum and Salt Lake respectively
= x – (64+50) and y – (86+74)
= (x – 114) and (y – 160)
Hence, the difference between those who passed the second round of ‘Dadagiri’ in both the areas
= (y – 160) – (x – 114)
= (y – x) + (124 – 160)
= (y – x) – 46
= 54 – 46
= 8