Directions: Read the following comprehension and answer the following questions given below.
Five People A, B, C, D and E played some cricket matches 52, 39, 16, 75, 46 in five different months January, April, May, June, and August but not necessarily the same. The one who played 46 matches played in the month of having 30 days.
Only one person played between the one who played 46 and D. E played the matches just before C. The one who played 75 matches played at last.
Only one person played between C and D. The one who played 16 matches played just before the one who played 46 matches. A played before B. More than 2 People played between E and B.
Who played 52 matches?
- AOption (a)
A
- BOption (b)
B
- COption (c)
D
- DOption (d)
C
- EOption (e)
Either option I or III
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Correct answer
Either option I or III
Why this answer is correct
Five People: A, B, C, D and E.
Matches: 52, 39, 16, 75, 46.
Months: January, April, May, June, and August
1- The one who played 46 matches played in the month of having 30 days.
2- Only one person played between the one who played 46 and D.
3- Only one person played between C and D.
| Case-1 | Case-2 | |||
|---|---|---|---|---|
| Month | Person | Matches | Person | Matches |
| January(31) | ||||
| April(30) | C | 46 | D | |
| May(31) | ||||
| June(30) | D | C | 46 | |
| August(31) |
4- E played the matches just before C.
5- The one who played 75 matches played at last.
6- The one who played 16 matches played just before the one who played 46 matches.
7- A played before B.
| Case-1 | Case-2 | |||
|---|---|---|---|---|
| Month | Person | Matches | Person | Matches |
| January(31) | E | 16 | A | |
| April(30) | C | 46 | D | |
| May(31) | A | E | 16 | |
| June(30) | D | C | 46 | |
| August(31) | B | 75 | B | 75 |
8- More than 2 People played between E and B. So, case-2 gets eliminated.
So, Final arrangement,
| Month | Person | Matches |
|---|---|---|
| January(31) | E | 16 |
| April(30) | C | 46 |
| May(31) | A | 52/39 |
| June(30) | D | 52/39 |
| August(31) | B | 75 |
Hence, Either A and D played 52 matches.