Directions for question
In the internationally famed Agri-Horticulture Flower Show held in the winters of Alipore, Kolkata every year, 44 participants from West Bengal took part after the post pandemic reopening in January 2023. All of them participated in any one of the following four different categories of flowers namely Roses, Dahlias, Orchids and Lilies. Each participant was from one of the following four districts of 24-Parganas, Midnapore, Jalpaiguri and Nadia of West Bengal.
The first bar-graph shows the distribution of the participants according to the districts, with the names of the districts disguised as WB1, WB2, WB3 and WB4. The second bar-graph shows the distribution of the participants according to their category, with the names of the categories disguised as F1, F2, F3 and F4.
The following information were also known :
a) Had there been one more participant from 24-Parganas and one less participant from Jalpaiguri, the number of participants from 24-Parganas and Jalpaiguri would be equal
b) Had there been one more participant from Midnapore and one less participant from Nadia, the number of participants from Midnapore and Nadia would be equal
c) Had there been two more participants in Orchids and two less participants in Dahlias, the number of participants in Orchids and Dahlias would be equal
d) The number of participants from 24-Parganas in all the four categories was distinct natural numbers
e) The number of participants from Nadia in Orchids was 1
Question
Which of the following is the highest ?
Number of participants in Roses from Nadia
Number of participants in Dahlias from 24-Parganas
Number of participants in Dahlias from Jalpaiguri
Number of participants in Orchids from Midnapore
We know that :
Graph 1 & 2 |
F1 (Roses/Lilies) |
F2 (Dahlias) |
F3 (Orchids) |
F4 (Lilies/Roses) |
TOTAL |
WB1 (Jalpaiguri) |
3 | 5 | 3 | 2 | 13 |
WB2 (24-Pargans) |
1 | 3 | 2 | 5 | 11 |
WB3 (Midnapore) |
4 | 2 | 4 | 1 | 11 |
WB4 (Nadia) |
2 | 4 | 1 | 2 | 9 |
TOTAL | 10 | 14 | 10 | 10 | 44 |
Now,
Number of participants in Roses from Nadia = 2, irrespective of which of F1 and F4 are Roses and Lilies respectively
Number of participants in Dahlias from 24-Parganas = 3
Number of participants in Dahlias from Jalpaiguri = 5
Number of participants in Orchids from Midnapore = 4
Hence the highest number of participants was in Dahlias from Jalpaiguri