Each of P, Q, R, S, T, U and V travelled to a different city, viz. Delhi, Mumbai, Kolkata, Chennai, Bengaluru, Patna and Puri on a different day of a week starting from Monday and ending on Sunday of the same week, not necessarily in the same order. P travelled to Delhi on Wednesday. Only two people travelled between P and the one who travelled to Puri. Only three people travelled between Q and the one who travelled to Puri. R travelled immediately before Q. Only three people travelled between R and the one who travelled to Patna. Only one person travelled between V and the one who travelled to Patna. S travelled immediately after the one who travelled to Chennai. Only two people travelled between S and the one who travelled to Mumbai. T travelled on one of the days before U. The one who travelled to Kolkata did not travel on Monday. How many people travelled between U and the one who travelled to Bengaluru?
Solution
To solve this puzzle, we map out the week from Monday to Sunday: P travels to Delhi on Wednesday. Since only two people travel between P and the one going to Puri, Puri must be on Saturday (as Monday is only one day away). Three people travel between Q and Puri, placing Q on Tuesday. R travels immediately before Q, so R is on Monday. With three people between R and Patna, Patna falls on Friday, and since V is one person away from Patna, V must be on Wednesday (already occupied by P) or Sunday; thus, V is on Sunday. S travels immediately after Chennai, and with two people between S and Mumbai, the only fit is Chennai on Thursday, S on Friday (Patna), and Mumbai on Tuesday (Q). Finally, since T is before U, T is on Monday (Kolkata, as it's not Monday) or Thursday, but filling the remaining slots places Kolkata on Sunday and Bengaluru on Monday. This leaves U on Thursday and T on Monday. There are four people (P, Chennai, S, Kolkata) between U (Thursday) and the person going to Bengaluru (Monday), making the answer "More than three."
Final arrangement looks like:
Monday - R - Bengaluru
Tuesday - Q - Mumbai
Wednesday - P - Delhi
Thursday - T - Chennai
Friday - S - Patna
Saturday - U - Puri
Sunday - V - Kolkata.
