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Scheduling (Days/Months)

Introduction

The Scheduling (Days/Months) pattern involves assigning events, people or tasks to specific days, dates, or months using relative-order clues such as “before”, “after”, “two days after”, or “in the same month as”.

This topic is common in competitive exams (SBI PO, IBPS, SSC, CAT) and tests your ability to convert temporal clues into an ordered timeline.

Pattern: Scheduling (Days/Months)

Pattern

Assign events or persons to specific days/months using ordering and positional constraints (e.g., before/after, immediate next, gaps of n days).

  • Absolute vs Relative: Absolute clues give specific dates (e.g., 10th July); relative clues compare positions (e.g., X is two days after Y).
  • Immediate Relations: “Next day”, “immediately after”, or “immediately before” indicate adjacency.
  • Counting Gaps: “Two days after” implies exactly two-day gap between events (skip one day in between).
  • Multiple Attributes: Combine day/month with other attributes (person, venue) in tabular scheduling problems.

Step-by-Step Example

Question

Seven friends - A, B, C, D, E, F, and G - attend weekly workshops, one each day from Monday to Sunday. Each attends on a different day. The clues are:
1. C attends two days after A.
2. E attends immediately before D.
3. B attends on Thursday.
4. F attends on the day just after C.
Who attends on Saturday?

Options:
A) A    B) D    C) F    D) G

Solution

  1. Step 1: Map fixed day

    B = Thursday (given).

  2. Step 2: Use relative offsets for A and C

    C is two days after A → C = A + 2 (e.g., if A = Monday, C = Wednesday).

  3. Step 3: F relation

    F attends just after C → F = C + 1.

  4. Step 4: E-D adjacency

    E immediately before D → E = D - 1 (adjacent pair).

  5. Step 5: Fit around known B = Thursday

    Try placing A so that C and F fit without colliding with B. If A = Monday → C = Wednesday → F = Thursday (conflict: B = Thursday). If A = Tuesday → C = Thursday → F = Friday. But C = Thursday would conflict with B. Therefore A = Wednesday → C = Friday → F = Saturday fits.

  6. Final Answer:

    F → Option C

  7. Quick Check:

    A = Wednesday ✅ C = Friday (two days after) ✅ F = Saturday (after C) ✅ B = Thursday unchanged ✅ E & D occupy remaining adjacent pair (Mon/Tue or Sun/Mon) ✅

Quick Variations

1. Weekday scheduling (Mon-Sun) with gaps of n days.

2. Monthly scheduling (Jan-Dec) with seasons or fiscal-quarter constraints.

3. Multi-attribute scheduling (day + venue + person) using tables or grids.

4. Circular weekly cycles where events repeat (use modular arithmetic).

Trick to Always Use

  • Step 1: Place absolute/fixed days first (e.g., B = Thursday).
  • Step 2: Translate relative clues into numeric shifts (A + 2 → C).
  • Step 3: Use adjacency blocks (E-D) as units and place them in remaining slots.
  • Step 4: Try minimal consistent placement (start with earliest possible day for variable chains) and adjust if it conflicts with fixed days.

Summary

Summary

  • Put fixed dates/days first, then place relative chains (A + n → B) around them.
  • Treat adjacency clues as inseparable blocks when fitting into the timeline.
  • For weekly cycles, remember boundaries (Mon-Sun) and check edge placements.
  • Always perform a quick conflict check after initial placement and shift the chain if needed.

Example to remember:
When C is two days after A and F is just after C, place A so C and F do not collide with any fixed-day persons (like B = Thursday).

Practice

(1/5)
1. Five colleagues - P, Q, R, S, and T - present monthly reports in January, February, March, April, and May (one per month). The clues are: 1. P presents in January. 2. R presents immediately after P. 3. S presents in May. 4. Q presents two months after R. Who presents in April?
easy
A. T
B. P
C. Q
D. R

Solution

  1. Step 1: Fix the known positions

    P = January (given).

  2. Step 2: Apply 'immediately after' clue

    R presents immediately after P → R = February.

  3. Step 3: Apply 'two months after' clue

    Q presents two months after R → R = February, so Q = April.

  4. Step 4: Use remaining clues

    S = May (given). The remaining unassigned month is March → T = March.

  5. Step 5: Identify the target month

    The person presenting in April is Q.

  6. Final Answer:

    Q → Option C

  7. Quick Check:

    P Jan ✅ R Feb (after P) ✅ Q Apr (two after R) ✅ S May ✅ T fills March ✅
Hint: Fill fixed and immediate clues first, then apply any +n or -n month relations to deduce remaining placements.
Common Mistakes: Misinterpreting 'two months after' as skipping only one month instead of counting two months ahead.
2. Seven friends - A, B, C, D, E, F, G - attend workshops, one per weekday Monday→Sunday. Clues: 1. A attends on Monday. 2. B attends two days before D. 3. C attends immediately after B. 4. E attends on Saturday. Who attends on Thursday?
easy
A. D
B. A
C. C
D. G

Solution

  1. Step 1: Fix A and E

    A = Monday; E = Saturday.

  2. Step 2: Use B and C relation

    C is immediately after B → (B, C) are consecutive.

  3. Step 3: B two days before D

    So positions are B → C (immediate) and D is two days after B (B + 2 = D).

  4. Step 4: Try placement

    If B = Tuesday → C = Wednesday → D = Thursday. This fits with A = Monday and E = Saturday and leaves F/G for Friday/Sunday.

  5. Final Answer:

    D → Option A

  6. Quick Check:

    A Monday ✅ B Tuesday, C Wednesday, D Thursday (B two before D) ✅ E Saturday ✅
Hint: Treat 'two days before' as a +2 offset when you fix one part of the chain.
Common Mistakes: Placing B/C around fixed days and causing conflicts with the fixed weekday(s).
3. Three audits are scheduled in January, February and March for X, Y and Z. X is scheduled in February. Y is scheduled before X. Who is scheduled in January?
easy
A. Z
B. Y
C. X
D. None of the above

Solution

  1. Step 1: Fix X

    X = February (given).

  2. Step 2: Place Y before X

    Y must be scheduled earlier than X → Y = January.

  3. Step 3: Remaining assignment

    Remaining person Z = March.

  4. Final Answer:

    Y → Option B

  5. Quick Check:

    Y January ✅ X February ✅ Z March ✅
Hint: When one is fixed, use 'before/after' to place the others in earliest/latest available slots.
Common Mistakes: Assuming 'before' could mean non-consecutive without checking available months.
4. Six conferences are planned in January-June (one per month). The clues: 1. A is in March. 2. B is two months after C. 3. D is immediately before E. 4. F is in January. Which conference is in May?
medium
A. B
B. C
C. D
D. A

Solution

  1. Step 1: Fix A and F

    A = March (Mar); F = January (Jan).

  2. Step 2: Use B-C relation

    B = C + 2 (B two months after C).

  3. Step 3: D-E adjacency

    D immediately before E → (D, E) consecutive.

  4. Step 4: Construct a consistent arrangement

    Available months: Jan(F), Feb( ), Mar(A), Apr( ), May( ), Jun( ). Choose C = Feb → B = Apr. That leaves D and E to be placed as consecutive pair in May-June with D before E → D = May, E = June.

  5. Final Answer:

    D → Option C

  6. Quick Check:

    F Jan ✅ A Mar ✅ C Feb & B Apr (two months after) ✅ D May immediately before E Jun ✅
Hint: Place fixed-month items first, then slot two-month offsets and adjacent pairs into remaining months.
Common Mistakes: Assuming two-month offsets must start at the earliest month; try legal starting positions until all clues fit.
5. Seven team meetings are scheduled Monday→Sunday with one per day. Clues: 1. P is positioned between Q and R (they sit consecutively Q-P-R in that order). 2. S is two days after P. 3. T is on Sunday. 4. U is immediately before V. Who is scheduled on Tuesday?
medium
A. U
B. Q
C. P
D. V

Solution

  1. Step 1: Fix T

    T = Sunday.

  2. Step 2: Use Q-P-R block

    Q, P, R are consecutive in that order.

  3. Step 3: S is two days after P

    S = P + 2.

  4. Step 4: Place U-V adjacency

    U immediately before V → U = X, V = X + 1 (some consecutive pair).

  5. Step 5: Find a consistent placement

    Place Q = Wednesday → P = Thursday → R = Friday. Then S = Saturday and T = Sunday (fits). Remaining consecutive pair U-V take Monday-Tuesday with U = Monday and V = Tuesday. Thus Tuesday = V.

  6. Final Answer:

    V → Option D

  7. Quick Check:

    Q Wed, P Thu, R Fri ✅ S Sat (P+2) ✅ T Sun ✅ U Mon, V Tue adjacency ✅
Hint: Anchor fixed days (like T = Sunday), place multi-person blocks (Q-P-R) next, then insert adjacency pairs (U-V) into remaining earliest slots.
Common Mistakes: Forgetting to keep the order Q-P-R exact while placing S = P + 2 and T fixed.

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