Direction: Study the information given below carefully and answer the questions that follow.
Six persons A, B, C, D, E, and F have seminars in February, March, and August with two seminars in each month. The seminar is scheduled either on 9th or 20th of the month. E attends the seminar on the odd numbered date. The number of people attending the seminar before B is same as the number of people attending after C. F is not the last one to attend the seminar. There is only one person attending the seminar between A and B. A attends the seminar on odd numbered date in the month having odd number of days. C attends the seminar in March. The year is not a leap year.
Who is the last one to attend the seminar?
- AOption (a)
C
- BOption (b)
E
- COption (c)
B
- DOption (d)
A
- EOption (e)
D
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Correct answer
D
Why this answer is correct
Given:
People: A, B, C, D, E, and F
Months: February, March, and August
Dates: 9th or 20th of the month
- A attends the seminar on odd numbered date in the month having odd number of days.
Case 1:
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | |
| 20th | ||
| March (31) | 9th | |
| 20th | ||
| August (31) | 9th | A |
| 20th |
Case 2:
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | |
| 20th | ||
| March (31) | 9th | A |
| 20th | ||
| August (31) | 9th | |
| 20th |
- There is only one person attending the seminar between A and B.
Case 1:
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | |
| 20th | ||
| March (31) | 9th | B |
| 20th | ||
| August (31) | 9th | A |
| 20th |
Case 2 (a):
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | |
| 20th | ||
| March (31) | 9th | A |
| 20th | ||
| August (31) | 9th | B |
| 20th |
Case 2 (b):
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | B |
| 20th | ||
| March (31) | 9th | A |
| 20th | ||
| August (31) | 9th | |
| 20th |
-
The number of people attending the seminar before B is same as the number of people attending after C.
-
C attends the seminar in March. (This eliminate Case 2 (a) and Case 2 (b).
Case 1:
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | |
| 20th | ||
| March (31) | 9th | B |
| 20th | C | |
| August (31) | 9th | A |
| 20th |
Case 2 (a):
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | |
| 20th | C | |
| March (31) | 9th | A |
| 20th | ||
| August (31) | 9th | B |
| 20th |
This case is eliminated as C is not attending in March here.
Case 2 (b):
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | B |
| 20th | ||
| March (31) | 9th | A |
| 20th | ||
| August (31) | 9th | |
| 20th | C |
This case is eliminated as C is not attending in March here.
5) E attends the seminar on the odd numbered date.
- F is not the last one to attend the seminar.
Case 1:
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | E |
| 20th | F | |
| March (31) | 9th | B |
| 20th | C | |
| August (31) | 9th | A |
| 20th |
Thus, the final arrangement:
| Month | Dates | Person |
|---|---|---|
| February (28) | 9th | E |
| 20th | F | |
| March (31) | 9th | B |
| 20th | C | |
| August (31) | 9th | A |
| 20th | D |
Hence, D is the last one to attend the Seminar.