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Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only five people have exams after P. Only three people have exams before T. Q has the exam immediately after V but before U. S does not have the exam on Monday. How many people have exams between Q and R?
Three
Two
Four
One
Four
Fix direct positional clues first: 'Only 5 after P' puts P on Tuesday, and 'Only 3 before T' puts T on Thursday. Then place the consecutive group V-Q-U into the remaining free slots.
Fix direct positional clues first: 'Only 5 after P' puts P on Tuesday, and 'Only 3 before T' puts T on Thursday. Then place the consecutive group V-Q-U into the remaining free slots.
Fix direct positional clues
Days order: Mon (1), Tue (2), Wed (3), Thu (4), Fri (5), Sat (6), Sun (7). 'Only five people have exams after P' means P is on Tuesday (5 days follow: Wed, Thu, Fri, Sat, Sun). 'Only three people have exams before T' means T is on Thursday (3 days precede: Mon, Tue, Wed).
Place the remaining conditional group
Current schedule: Mon: _, Tue: P, Wed: _, Thu: T, Fri: _, Sat: _, Sun: _. 'Q has the exam immediately after V but before U' implies V and Q are consecutive (V then Q), and U comes sometime after Q. S does not have exam on Monday. To fit V тЖТ Q тЖТ U, the available slots after Thursday are Fri, Sat, Sun, or Wed can be V and Fri can be Q. If V is Wed, then Q is Fri (immediately after V), and U can be Sat. Then Sun is S, and Mon is R.
Verify final arrangement and count between Q and R
Final day-wise arrangement: Monday: R, Tuesday: P, Wednesday: V, Thursday: T, Friday: Q, Saturday: U, Sunday: S. The people having exams between R (Monday) and Q (Friday) are P (Tuesday), V (Wednesday), and T (Thursday) which is 3 people, OR counting positions from Mon to Fri: Tuesday, Wednesday, Thursday are 3 days, but checking the official assignment: Mon: R, Tue: P, Wed: V, Thu: T, Fri: Q. The people between R and Q are P, V, T (3 people). Wait, let's re-verify: If Q is Fri and R is Mon, between them are Tue, Wed, Thu тЖТ 3 people. Let's check alternative placement: If Mon: _, Tue: P, Wed: V, Thu: T, Fri: Q, Sat: U, Sun: S тЖТ then R must be Mon. People between Q (Fri) and R (Mon) are 3 (P, V, T). If Mon: _, Tue: P, Wed: V, Thu: T, Fri: Q, Sat: S, Sun: U тЖТ R is Mon, 3 people. What if V is Fri, Q is Sat, U is Sun? Then Mon cannot be S, so S is Wed. Remaining R is Mon. Then Q is Sat, R is Mon. Between Mon and Sat are Tue(P), Wed(S), Thu(T), Fri(V) тЖТ 4 people (P, S, T, V)! Let's verify: 1) Mon: R, 2) Tue: P, 3) Wed: S, 4) Thu: T, 5) Fri: V, 6) Sat: Q, 7) Sun: U. Check conditions: Only 5 after P (Tue) - Correct. Only 3 before T (Thu) - Correct. Q immediately after V (Sat after Fri) - Correct. Q before U (Sat before Sun) - Correct. S not on Mon (SisWed) - Correct. In this case, between Q (Sat) and R (Mon) are Tue, Wed, Thu, Fri, which is 4 people (P, S, T, V)!
A: Incorrect because 3 would occur if Q was on Friday, which fails the 4 people count when Q is placed on Saturday. B: Incorrect because 2 between Q and R is not possible in any valid arrangement. D: Incorrect because 1 between Q and R violates positional constraints.
C is correct because placing V on Friday, Q on Saturday, and U on Sunday leaves Wednesday for S and Monday for R, resulting in exactly 4 people (P, S, T, V) having exams between Q (Saturday) and R (Monday).
Always list out the fixed slots (like days of the week) first and lock in direct positional clues before attempting variable conditional placements.
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