Question Details

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.

Which of the followings statement is correct?

Options

A

Two persons are in between P and T

B

Meditation is done in November

C

U does hiking in June

D

R does cycling before S

Show Answer

Correct Answer :

Option C

U does hiking in June

U does hiking in June

Solution :

To determine which statement is correct, let's reconstruct the schedule for the seven persons (P, Q, R, S, T, U, V) and their respective activities (Yoga, meditation, dancing, hiking, cycling, camping, reading) across the seven months (January, March, April, June, July, August, November).

First, let's note the number of days in each of the given months:
- January: 31 days
- March: 31 days
- April: 30 days
- June: 30 days
- July: 31 days
- August: 31 days
- November: 30 days

Let's analyze the clues step-by-step:
1. "Cycling is done in the month of 30 days." The 30-day months are April, June, and November.
2. "Three persons are in between S and the one who does cycling."
3. "One person is in between S and T."
4. "Number of persons after T is same as before the one who does Yoga."
5. "P is just before the one who does dancing."
6. "More than three persons are in between P and V who does meditation." Since there are 7 months, if more than three (i.e., at least 4) persons are between P and V, then P and V must be separated by at least 4 positions. Possible positions for P/V are (1st, 6th), (1st, 7th), or (2nd, 7th).
7. "Hiking is done in the month of 30 days before R."
8. "Reading is done before Q who does not do hiking."

Let's test the positions for S, T, and the one who does cycling:
The sequence of months is:
1. January (31)
2. March (31)
3. April (30)
4. June (30)
5. July (31)
6. August (31)
7. November (30)

Case A: Suppose Cycling is in April (Position 3).
Since there are 3 persons between S and Cycling, S must be at Position 7 (November).
Since one person is between S (7) and T, T must be at Position 5 (July).
Number of persons after T (5) is 2 (August, November). Thus, the number of persons before the one who does Yoga is also 2. So, Yoga is at Position 3 (April).
This means the activity at Position 3 is Yoga, which contradicts that Cycling is at Position 3. Thus, Case A is invalid.

Case B: Suppose Cycling is in November (Position 7).
Since there are 3 persons between S and Cycling, S must be at Position 3 (April).
Since one person is between S (3) and T, T can be either at Position 1 (January) or Position 5 (July).
Subcase B1: T is at Position 1 (January).
Number of persons after T (1) is 6. Thus, Yoga must be at Position 7 (November). But Cycling is already at Position 7. Contradiction.
Subcase B2: T is at Position 5 (July).
Number of persons after T (5) is 2. Thus, Yoga must be at Position 3 (April). So S (at Position 3) does Yoga.

Now, let's place P and V (who does meditation). There are more than 3 persons between P and V.
Since T is at 5 and S is at 3, the remaining positions are 1, 2, 4, 6, 7.
Since there are at least 4 persons between P and V, and V does meditation:
If P is at 1 (January), then V (meditation) must be at 6 (August) or 7 (November).
If P is at 2 (March), then V (meditation) must be at 7 (November) since it must be at least 4 positions away (2 + 4 + 1 = 7).
Let's test: "P is just before the one who does dancing."
If P is at 1, the person at 2 (March) does dancing.
If P is at 2, the person at 3 (April) does dancing. But S is at 3 and does Yoga. So P cannot be at 2. Thus, P must be at Position 1 (January).
This means:
- Position 1 (January): P
- Position 2 (March): Dancing
Since P is at 1, V (meditation) can be at 6 or 7. But Cycling is at 7. So V (meditation) must be at Position 6 (August).

Let's look at the remaining positions for persons:
Positions 1 (P), 3 (S), 5 (T), 6 (V) are filled. The remaining positions are 2, 4, and 7.
"Hiking is done in the month of 30 days before R."
The 30-day months are April (3), June (4), and November (7).
Since Hiking is done before R in a 30-day month:
- Position 3 (April) has Yoga. So Hiking is not in April.
- Position 7 (November) has Cycling. So Hiking is not in November.
- Therefore, Hiking must be done in June (Position 4).
Since Hiking is done before R, R must be after June (Position 4). R can be at 5, 6, or 7. But T is at 5 and V is at 6. Thus, R must be at Position 7 (November).
Let's check: R (at Position 7) does Cycling, which matches.
Since Hiking is at Position 4 (June), the person who does hiking is at Position 4. Let's see who is at Position 4. The remaining positions for persons are 2 and 4. The remaining persons are Q and U.
"Reading is done before Q who does not do hiking."
Since Q does not do hiking (which is at Position 4), Q must be at Position 2 (March).
Therefore, the remaining person U must be at Position 4 (June) and does hiking.
Since Reading is done before Q (Position 2), Reading must be at Position 1 (January).
The remaining activity is Camping, which must be at Position 5 (July) for T.

Let's summarize the final schedule:
- January: P - Reading
- March: Q - Dancing
- April: S - Yoga
- June: U - Hiking
- July: T - Camping
- August: V - Meditation
- November: R - Cycling

Now, let's verify the options:
- "Two persons are in between P and T": P is at 1, T is at 5. Three persons (Q, S, U) are in between. Incorrect.
- "Meditation is done in November": Meditation is done in August. Incorrect.
- "U does hiking in June": U is indeed at June doing Hiking. Correct.
- "R does cycling before S": R (November) does cycling after S (April). Incorrect.

Therefore, the correct statement is: U does hiking in June.

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