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CAT 2024 Slot 2 · DILR · Scheduling and Rosters · medium

CAT 2024 Slot 2 DILR: School Timetable: Six Teachers, Six Periods

A school's Class X has six periods in a day (Period 1 to Period 6), and each period is taught by a different one of six teachers — Anita, Bhavesh, Chetan, Divya, Esha and Farah — with each teacher taking exactly one period that day. From the clues below, the exact period taught by each teacher can be uniquely determined.

Clues:
- Esha teaches Period 4.
- Chetan teaches the first period of the day.
- Divya teaches the period immediately after the period taught by Bhavesh.
- Anita teaches after Chetan's period but before Farah's period.
- Farah does not teach Period 4 or Period 6.

Question 1

Single correct option

Which teacher teaches Period 3?
  1. A. Anita
  2. B. Bhavesh
  3. C. Farah
  4. D. Divya
Show answer and solution

Answer: (C) Farah

Since Chetan takes Period 1 and Esha takes Period 4, the remaining periods {2,3,5,6} go to Anita, Bhavesh, Divya and Farah. Divya must immediately follow Bhavesh, so the pair (Bhavesh, Divya) occupies consecutive periods from {2,3,5,6}: either (2,3) or (5,6). If (Bhavesh,Divya)=(2,3), then Anita and Farah would need periods 5 and 6, but Farah cannot teach Period 6 — contradiction. So (Bhavesh,Divya)=(5,6), leaving Anita and Farah for periods 2 and 3. Since Anita is before Farah, Anita=2, Farah=3. So Period 3 is taught by Farah.

Question 2

Numerical answer

In which period does Bhavesh teach?
Show answer and solution

Answer: 5

As derived, the only consistent assignment is Chetan=1, Anita=2, Farah=3, Esha=4, Bhavesh=5, Divya=6. Bhavesh teaches Period 5.

Question 3

Numerical answer

How many teachers teach in the periods strictly between Period 2 and Period 5 (i.e., Periods 3 and 4)?
Show answer and solution

Answer: 2

Period 3 is taught by Farah and Period 4 by Esha — that is 2 teachers teaching in the periods strictly between Period 2 and Period 5.

Question 4

Single correct option

If Periods 2 and 3 were swapped (with all other periods unchanged), who would teach Period 2?
  1. A. Anita
  2. B. Bhavesh
  3. C. Chetan
  4. D. Farah
Show answer and solution

Answer: (D) Farah

In the original (unique) timetable, Period 2 = Anita and Period 3 = Farah. Swapping periods 2 and 3 means Farah would now teach Period 2.

Question 5

Single correct option

Which teacher teaches the period immediately before Esha's period?
  1. A. Anita
  2. B. Bhavesh
  3. C. Chetan
  4. D. Farah
Show answer and solution

Answer: (D) Farah

Esha teaches Period 4. From the derived timetable (Chetan=1, Anita=2, Farah=3, Esha=4, Bhavesh=5, Divya=6), Period 3 — immediately before Esha's period — is taught by Farah.
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Original question written in the CAT 2024 Slot 2 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake