Directions: Read the information and answer the given questions.
Eight persons, namely, S, T, U, V, W, X, Y, and Z, have their visits on different dates, either on the 7th or the 20th of the months January, March, May, and September, but not necessarily in the same order. E×actly three people have their visits between X’s visit and V’s visit. Y’s visit takes place immediately before X’s visit, and X’s visit is on 7th March. U’s visit is scheduled immediately after W’s visit. T’s visit is in a month that has 31 days. Z’s visit is scheduled after S’s visit. There are more than two people whose visits fall between T’s visit and S’s visit. Not more than two people visit between T and Z.
Z has a visit on which date?
- AOption (a)
20th May
- BOption (b)
20th September
- COption (c)
20th March
- DOption (d)
7th May
- EOption (e)
7th September
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Correct answer
20th September
Why this answer is correct
1. Y’s visit takes place immediately before X’s visit, and X’s visit is on 7th March.
| Months | Dates | Persons |
|---|---|---|
| January (31) | 7 | |
| 20 | Y | |
| March (31) | 7 | X |
| 20 | ||
| May (31) | 7 | |
| 20 | ||
| September (30) | 7 | |
| 20 |
2. Exactly three people have their visits between X’s visit and V’s visit.
| Months | Dates | Persons |
|---|---|---|
| January (31) | 7 | |
| 20 | Y | |
| March (31) | 7 | X |
| 20 | ||
| May (31) | 7 | |
| 20 | ||
| September (30) | 7 | V |
| 20 |
3. T’s visit is in a month that has 31 days. 4. There are more than two people whose visits fall between T’s visit and S’s visit.
Here, we have 4 Cases, i.e., Case 1, Case 2, Case 3, and Case 4.
| Months | Dates | Persons | |||
|---|---|---|---|---|---|
| Case 1 | Case 2 | Case 3 | Case 4 | ||
| January (31) | 7 | T | S | S | |
| 20 | Y | Y | Y | Y | |
| March (31) | 7 | X | X | X | X |
| 20 | T | ||||
| May (31) | 7 | S/ | T | ||
| 20 | S/ | T | |||
| September (30) | 7 | V | V | V | V |
| 20 | S/ | S |
5. U’s visit is scheduled immediately after W’s visit.
Now, we can eliminate Case 3, but we have a new subcase of Case 1.
| Months | Dates | Persons | |||
|---|---|---|---|---|---|
| Case 1 | Case 1a | Case 2 | Case 4 | ||
| January (31) | 7 | T | T | S | |
| 20 | Y | Y | Y | Y | |
| March (31) | 7 | X | X | X | X |
| 20 | W | T | W | ||
| May (31) | 7 | U | W | W | U |
| 20 | S/ | U | U | T | |
| September (30) | 7 | V | V | V | V |
| 20 | S/ | S | S |
- Z’s visit is scheduled after S’s visit.
Now, we can eliminate Case 1a and Case 2.
| Months | Dates | Persons | |
|---|---|---|---|
| Case 1 | Case 4 | ||
| January (31) | 7 | T | S |
| 20 | Y | Y | |
| March (31) | 7 | X | X |
| 20 | W | W | |
| May (31) | 7 | U | U |
| 20 | S | T | |
| September (30) | 7 | V | V |
| 20 | Z | Z |
- Not more than two people visit between T and Z.
Now, we can eliminate Case 1.
This is our final arrangement,
| Months | Dates | Persons |
|---|---|---|
| Case 4 | ||
| January (31) | 7 | S |
| 20 | Y | |
| March (31) | 7 | X |
| 20 | W | |
| May (31) | 7 | U |
| 20 | T | |
| September (30) | 7 | V |
| 20 | Z |
Hence, the correct answer is 20th September.