— DAYS PUZZLE
Problem: Six people — A, B, C, D, E, F — are scheduled from Monday to Saturday (one per day).
Clues:
1. A is scheduled on Wednesday.
2. B is scheduled two days before D.
3.
C is scheduled immediately after F.
4. E is not scheduled on Monday or Tuesday.
5. F is scheduled on Monday.
Step 1 — Find anchors.
Clue 1 gives A = Wednesday. Clue 5 gives F = Monday.
Step 2 — Use Clue 3: C is immediately after F. F = Monday → C = Tuesday.
Step 3 — Remaining slots: Thursday, Friday, Saturday for B, D, E.
Step 4 — Use Clue 2: B is two days before D.
Try B = Thursday → D = Saturday.
That works.
That leaves E = Friday.
Step 5 — Check Clue 4: E is not on Monday or Tuesday. E = Friday. CORRECT.
FINAL ANSWER:
Monday=F, Tuesday=C, Wednesday=A, Thursday=B, Friday=E, Saturday=D
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WORKED EXAMPLE 2 — MONTH PUZZLE
Problem: Four people — P, Q, R, S — have birthdays in January, March, July, October.
Clues:
1.
P's birthday is before July.
2. Q's birthday is in the second half of the year.
3. R's birthday is in March.
4.
S is not in January.
Step 1 — Clue 3 is direct: R = March.
Step 2 — Clue 2: Q is in second half (July onwards). Options for Q: July or October.
Step 3 — Clue 4: S is not January. Remaining months for P and S: January and one of July/October.
Step 4 — Clue 1: P's birthday is before July.
So P cannot be July or October → P = January.
Step 5 — S is not January (confirmed P=January). So S gets one of July/October.
Step 6 — Q takes the other of July/October.
Both July and October are in second half, so both work for Q.
Since S must be placed: S = July or October, Q gets the remaining one.
No further clue differentiates → both arrangements are valid UNLESS a question asks specifically.
FINAL ANSWER: R=March, P=January, Q and S share July/October.
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