Question : The following table shows the number of centuries scored by cricketers in the past 5 years.
Years $→$ | 2021 | 2020 | 2019 | 2018 | 2017 |
Cricketers$\downarrow$ | |||||
A | 1 | 0 | 2 | 1 | 1 |
B | 1 | 2 | 0 | 0 | 1 |
C | 0 | 0 | 1 | 1 | 0 |
D | 0 | 1 | 1 | 0 | 1 |
E | 1 | 0 | 1 | 0 | 1 |
The total number of centuries scored by which two players in the mentioned years are the same?
Option 1: D and E
Option 2: D and B
Option 3: A and C
Option 4: A and E
Correct Answer: D and E
Solution :
The total number of centuries scored by each player over the past 5 years is given by adding the centuries scored for each year.
For player A = 1 + 0 + 2 + 1 + 1 = 5
For player B = 1 + 2 + 0 + 0 + 1 = 4
For player C = 0 + 0 + 1 + 1 + 0 = 2
For player D = 0 + 1 + 1 + 0 + 1 = 3
For player E = 1 + 0 + 1 + 0 + 1 = 3
Hence, the correct answer is D and E.
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