Read the given information carefully and answer the related questions:
Seven persons P, Q, R, S, T, U and V - do different activities in seven different months i.e., January, March, April, June, July, August and November. The activities are – Yoga, meditation, dancing, hiking, cycling, camping and reading. Cycling is done in the month of 30 days. Three persons are in between S and the one who does cycling. One person is in between S and T. Number of persons after T is same as before the one who does Yoga. P is just before the one who does dancing. More than three persons are in between P and V who does meditation. Hiking is done in the month of 30 days before R. Reading is done before Q who does not do hiking.
T does camping in the month of _____.
Correct Answer :
July
Solution :
The correct answer is July.
Let us analyze the given information step-by-step to find the schedule of the seven persons and their activities.
Step 1: Understand the months and their number of days
We list the seven months chronologically along with the number of days in each month:
1. January - 31 days
2. March - 31 days
3. April - 30 days
4. June - 30 days
5. July - 31 days
6. August - 31 days
7. November - 30 days
Step 2: Place Cycling and S
- Cycling is done in a month of 30 days (April, June, or November).
- Three persons do their activities between S and the one who does cycling. This means the gap between S and the person who does cycling is exactly 3 months in our list. Thus, their positions in the sequence must be either (3 and 7) or (1 and 5) or (2 and 6).
- Since Cycling must be in a 30-day month (position 3, 4, or 7), let's test the possibilities:
Case A: If Cycling is in April (position 3), then S must be in November (position 7).
Case B: If Cycling is in November (position 7), then S must be in April (position 3).
(Note: June at position 4 cannot have a 3-month gap since positions 0 and 8 do not exist).
Step 3: Place T and Yoga
- One person is in between S and T.
- In Case A (S at position 7), T must be in July (position 5).
- In Case B (S at position 3), T can be in January (position 1) or July (position 5).
- The number of persons after T is the same as the number of persons before the one who does Yoga.
- If T is in July (position 5), there are 2 persons after T (August and November). Thus, there must be 2 persons before the one who does Yoga, placing Yoga in April (position 3).
- In Case A, April (position 3) is already occupied by Cycling, so Yoga cannot be in April. Thus, Case A is invalid.
- In Case B, April (position 3) is occupied by S. Therefore, S does Yoga in April (position 3), T is in July (position 5), and Cycling is in November (position 7).
Step 4: Place P, V, and Dancing
- T does camping, so T (July) is paired with Camping.
- P is just before the one who does dancing.
- More than three persons are between P and V (who does meditation). This means the gap between P and V is at least 4 persons.
- Since V does meditation, V cannot be in November (which is Cycling). Thus, the only possible positions for P and V to have a gap of more than 3 months are:
P is in January (position 1), and V is in August (position 6).
- Since P is in January, the person in March (position 2) must do dancing. V (August) does meditation.
Step 5: Place Hiking and R
- Hiking is done in a 30-day month before R.
- The 30-day months are April (Yoga), June (vacant), and November (Cycling). So Hiking must be in June.
- Since Hiking (June, position 4) is before R, R must be in November (position 7).
Step 6: Place Q and U
- Reading is done before Q, who does not do hiking.
- The remaining activity is Reading, which must be in January.
- Q does not do hiking (June), so Q must be in March.
- The remaining person U must be in June.
Summarizing the final arrangement:
1. January: P - Reading
2. March: Q - Dancing
3. April: S - Yoga
4. June: U - Hiking
5. July: T - Camping
6. August: V - Meditation
7. November: R - Cycling
Thus, T does camping in the month of July.
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