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  • Directions for question In the internationally famed Agri-Horticulture Flower Show held in the winters of Alipore, Kolkata every year, 44 parti

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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

The number of participants of the Agri-Horticulture Flower Show held in Alipore, Kolkata, in all the four categories of flowers could get uniquely determined for how many of the four districts of West Bengal ?

 

 

 

Option: 1

1


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

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-Parganas)

 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

For Jalpaiguri, we can be sure of the number of participants in Dahlias and Orchids, but not for Roses or Lilies

For 24-Parganas, we can be sure of the number of participants in Dahlias and Orchids, but not for Roses or Lilies

For Midnapore, we can be sure of the number of participants in Dahlias and Orchids, but not for Roses or Lilies

But, for Nadia, we can be sure of the number of participants in Dahlias, Orchids, Roses as well as Lilies

Hence for only 1 district of West Bengal the number of participants of the Agri-Horticulture Flower Show held in Alipore, Kolkata, in all the four categories of flowers could get uniquely determined

 

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