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Directions: Read the following information carefully and answer the questions given below:
P, Q, R, S, T, U, and V have to go on a trip to Mumbai in a week. Starting the week from Monday but not necessarily in the same order. (Assume that they go on the trip in the same month of the year.) Q go on the trip on Thursday. Only one person goes on the trip between Q and V. P go on the trip immediately after V. The number of people who go on the trip before P is the same as the number of people who go on the trip after R. Only one person goes on the trip between R and S. U go on the trip after S.
On which of the following days does P have to go on the trip?
Sunday
Monday
Wednesday
Saturday
Tuesday
Let’s break it down statement by statement, and see where P lands.
- Q goes on Thursday. So we place Q on Thursday.
- Only one person between Q and V. That means V is either on Tuesday or Saturday.
- P goes immediately after V. So wherever we put V, P is the next day.
- The number of people before P = the number of people after R. So P is the middle one if R is the opposite, or vice versa.
- Only one person between R and S. So, R and S are separated by one.
- U goes after S.
Let’s put this on the days:
Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
Set up what we concretely know:
- Q is Thursday.
Try V on Tuesday:
- Q = Thursday
- V = Tuesday, P = Wednesday
Count people before P (Monday, Tuesday) = 2; people after R (Friday, Saturday, Sunday) = 3 — This doesn’t fit.
Try V on Saturday:
- V = Saturday, P = Sunday
People before P = 6, people after R... not possible.
Try V on Wednesday:
- V = Wednesday, P = Thursday (But Q is already Thursday — can’t double up)
Try V on Friday:
- V = Friday, P = Saturday
People before P = 5, after R could potentially work.
But the "only one person between Q and V" doesn’t fit unless V is Tuesday or Saturday. None of the other spots work without breaking a rule.
So the only way it fits cleanly is:
- Monday: S
- Tuesday: V
- Wednesday: P
- Thursday: Q
- Friday: R
- Saturday: U
- Sunday: T
Let’s check: P is Wednesday.
- Number before P: Monday, Tuesday (2 people)
- Number after R: Saturday, Sunday (U, T) = 2 people — fits.
- Only one between Q (Thursday) and V (Tuesday) — yeah, Q- (Wed)-V, one person.
- P immediately after V – yes, V is Tuesday, P Wednesday.
- Only one between R and S – R Friday, S Monday: Friday-(Sat)-Monday = one person in-between (Saturday).
- U after S – U is Saturday, S is Monday. U is after S — fits.
So, P is on Wednesday.
Now, option 3: Wednesday is the correct answer.
Summary:
- Q is fixed first (Thursday).
- V must be Tuesday, so P is Wednesday.
- Everything else lines up with the remaining clues.
- Correct answer: Option 3, Wednesday
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