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  • Directions for question: The following pie-chart provides information about the total number of days on which there was a reported automobile a

Directions for question:

The following pie-chart provides information about the total number of days on which there was a reported automobile accident in two selected cities of Eastern India in each of the six months of January, February, March, April, May and June of the year 2022 :

The following bar-chart provides information about the number of days on which there was a reported automobile accident in five selected cities (Chandigarh, Guwahati, Kolkata, Mumbai and Delhi) of India in each of the six months of January, February, March, April, May and June of the year 2022 :

The following additional Information are also provided :

a) Chandigarh and Delhi are in Northern India, Guwahati and Kolkata are in Eastern India, and Mumbai is in Western India.

b) The maximum possible number of days on which there could be a reported automobile accident in 2022 in exactly one city in Eastern India in January, February, March, April,  May and June are denoted by A, B, C, D, E and F respectively.

c) The maximum possible number of days on which there could be a reported automobile accident in 2022 simultaneously in the three cities of Western India and in Northern India in January, February, March, April,  May and June are denoted by P, Q, R, S, T and U respectively.

Question:

What is the value of D ?

Option: 1

12

 

 


Option: 2

11

 


Option: 3

10

 


Option: 4

9 


Answers (1)

best_answer

To maximize the number of days on which there was an automobile accident reported in only any one city in Eastern India, we need to minimize the number of days on which there was an automobile accident reported simultaneously in both the cities in Eastern India.

Number of days an automobile accident was reported in Guwahati in the month of January 2022 = 6

Number of days an automobile accident was reported in Kolkata in the month of January 2022 = 4

Number of days an automobile accident was reported in January 2022 in the two cities of Eastern India = 8

Thus, the minimum number of days there could be an automobile accident reported simultaneously in both in both the cities of Guwahati and Kolkata of Eastern India in January 2022 = (6+4) – 8 = 2

Likewise, the minimum number of days there could be an automobile accident reported simultaneously in both in both the cities of Guwahati and Kolkata of Eastern India in February 2022 = (9+11) – 14 = 6

The minimum number of days there could be an automobile accident reported simultaneously in both in both the cities of Guwahati and Kolkata of Eastern India in March 2022 = (1+4) – 5 = 0

The minimum number of days there could be an automobile accident reported simultaneously in both in both the cities of Guwahati and Kolkata of Eastern India in April 2022 = (21+19) – 26 = 14

The minimum number of days there could be an automobile accident reported simultaneously in both in both the cities of Guwahati and Kolkata of Eastern India in May 2022 = (11+9) – 20 = 0

The minimum number of days there could be an automobile accident reported simultaneously in both in both the cities of Guwahati and Kolkata of Eastern India in June 2022 = (8+4) – 11 = 1

Tabulating them, we can say :

 

Number of days an automobile accident was reported

Jan22

Feb22

Mar22

Apr22

May22

Jun22

Minimum in both Guwahati and Kolkata simultaneously

2

6

0

14

0

1

Maximum in only Guwahati

(6–2) = 4 

(9–6) = 3

(1–0) = 1 

(21–14)  = 7

(11–0)    = 11

(8–1) = 7 

Maximum in only Kolkata

(4–2) = 2 

(11–6)    = 5

(4–0) = 4 

(19–14)   = 5

(9–0) = 9

(4–1) = 3 

 

A, B, C, D, E and F are the maximum possible number of days on which there was an automobile accident reported in exactly one city of Eastern India in January, February, March, April,  May and June 2022 respectively

Therefore, 

The value of A = (4+2) = 6, 

The value of B = (3+5) = 8, 

The value of C = (1+4) = 5, 

The value of D = (7+5) = 12, 

The value of E = (11+9) = 20 and 

The value of F = (7+3) = 10

 

Hence, the value of D = 12

 

Posted by

Ajit Kumar Dubey

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