IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Logical Reasoning · Question 13

IIM B UG (B.Sc-Hons.)- Sample Paper 2026 question on Arrangements, with the answer and a step-by-step solution.

ArrangementsLOGICAL REASONING - High LevelMultiple choiceMedium
Each of P, Q, R, S, T, U and V has an exam on a different day of the week starting from Monday and ending on Sunday of the same week. U has an exam on Thursday. Only one person has an exam between P and U. T has an exam immediately after P. As many people have an exam before T as after S. Q has an exam immediately after V but not on Sunday. How many people have an exam between R and V?
  1. A
    None
  2. B
    More than two
  3. C
    One
  4. D
    Two
Pick an option, then check.
Answer & solution

Answer: Option D

Number the days Monday 1 to Sunday 7. U is on Thursday, day 4.

Only one person sits between P and U, so P is two days from U — day 2 or day 6.

T is immediately after P, so T is day 3 or day 7.

If P were day 2 and T day 3, then 'as many before T as after S' would need two people after S, putting S on day 5. But day 5 would then have to be free, and the pair V followed by Q can only fit on days 5 and 6 once Q is kept off Sunday. That clashes, so this case fails.

So P is day 6 and T is day 7.

Six people sit before T, so six must sit after S, which puts S on day 1.

V and Q are consecutive with Q second, and the free days are 2, 3 and 5, so V is day 2 and Q is day 3. R takes day 5.

The full week is S, V, Q, U, R, P, T from Monday to Sunday.

Between R on Friday and V on Tuesday lie Wednesday and Thursday, that is Q and U — two people.

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