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Zorluk: ZorAnalytical Puzzles and Grouping

Five senior policy analysts—Anish, Babita, Chirag, Divya, and Esha—are scheduled to deliver research presentations sequentially from 1st to 5th slot. The schedule must satisfy the following conditions:
1. Babita presents immediately before Esha, but at some point after Anish.
2. Chirag does not give the 1st presentation, and there are exactly two presentations scheduled between Chirag and Divya.
3. Divya delivers her presentation before Babita.
4. Esha is not assigned to the final (5th) presentation slot.

Arrange the five analysts in the correct sequence of their presentations from 1st to 5th.

  1. 1Anish
  2. 2Divya
  3. 3Babita
  4. 4Esha
  5. 5Chirag

Cevap

The correct chronological sequence from 1st to 5th presentation slot is Anish, Divya, Babita, Esha, and Chirag.
The unique sequence Anish (1st) → Divya (2nd) → Babita (3rd) → Esha (4th) → Chirag (5th) satisfies every constraint: (Babita, Esha) form an adjacent block in slots 3 and 4, Babita comes after Anish, Divya (2nd) precedes Babita (3rd), Esha is not 5th, and exactly two analysts (Babita and Esha) present between Divya and Chirag.

Adım Adım Çözüm

1
Analyze the block constraint for Babita and Esha.
Babita and Esha form a consecutive pair (Babita, Esha). Since Esha cannot be in slot 5, this pair must occupy slots (1,2), (2,3), or (3,4).
Babita presents immediately before Esha, and Esha is excluded from the 5th slot.
2
Evaluate possible slot pairs for (Babita, Esha) using condition 1 and condition 3.
Babita cannot be in slot 1 because she must present after Anish. If Babita were in slot 2, Esha would be in slot 3, forcing Anish to slot 1; however, that leaves slots 4 and 5 for Chirag and Divya, which violates the requirement of having two presentations between them. Thus, Babita must be in slot 3 and Esha in slot 4.
Placing Babita in slot 3 is the only placement consistent with all positional separation requirements.
3
Determine the slots for Divya and Chirag.
The remaining vacant slots are 1, 2, and 5. The only pair among these with exactly two slots between them is slot 2 and slot 5. Since Divya must present before Babita (slot 3), Divya is in slot 2 and Chirag is in slot 5.
Exactly two presentations (slots 3 and 4) must separate Divya and Chirag, and Divya comes before Babita.
4
Assign the remaining slot to Anish.
Slot 1 is the only remaining unfilled slot, so Anish is placed in slot 1.
This satisfies the condition that Babita presents at some point after Anish.

Anahtar Kavram

Linear Ordering and Constraint Satisfaction
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Konular

Analytical Puzzles and Grouping

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