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Zorluk: OrtaAnalytical Puzzles and Grouping

Five mountaineers—Ravi, Sam, Tariq, Uma, and Victor—are each planning an expedition to a different mountain peak: K2, Everest, Denali, Elbrus, and Mont Blanc. They are sponsored by five different gear brands: Apex, Boulder, Crest, PeakGear, and Zenith.

The following conditions apply:
1. Tariq is climbing Denali but is not sponsored by Crest or Zenith.
2. The mountaineer climbing Mont Blanc is sponsored by PeakGear.
3. Ravi is sponsored by Apex, but his expedition is neither to Everest nor to Elbrus.
4. Uma is not sponsored by Crest and is not climbing Everest.
5. The mountaineer going to Elbrus is not sponsored by Zenith.
6. Sam's expedition is to Everest.

Based on the information provided, who is scaling Elbrus and which gear brand sponsors them?

  1. Victor, CrestCevap
  2. B
    Victor, Zenith
  3. C
    Sam, Crest
  4. D
    Uma, PeakGear

Cevap

Victor is climbing Elbrus and is sponsored by Crest.
By following a step-by-step elimination grid: Sam is on Everest. Ravi uses Apex and must climb K2 (since Denali is Tariq, Everest is Sam, and Mont Blanc requires PeakGear). Tariq is on Denali and must use Boulder (since he cannot use Crest, Zenith, Apex, or PeakGear). This leaves Mont Blanc and Elbrus for Uma and Victor. If Victor took Mont Blanc (PeakGear), Uma would take Elbrus, leaving her with no valid gear because she cannot use Crest and Elbrus cannot use Zenith. Thus, Uma must take Mont Blanc (PeakGear). This leaves Elbrus for Victor. Since Elbrus cannot use Zenith, Victor must use Crest.

Adım Adım Çözüm

1
Assign explicitly stated peaks and eliminate impossible peak-brand combinations for Ravi and Tariq.
Tariq climbs Denali. Sam climbs Everest. Ravi must climb K2.
Sam is on Everest. Tariq is on Denali. Ravi uses Apex and cannot climb Everest or Elbrus. He also cannot climb Mont Blanc because that requires PeakGear. Thus, Ravi climbs K2.
2
Determine Tariq's gear brand.
Tariq is sponsored by Boulder.
Tariq climbs Denali. Apex is taken by Ravi, and PeakGear belongs to Mont Blanc. The rules state Tariq does not use Crest or Zenith, leaving only Boulder.
3
Assign the remaining peaks (Elbrus and Mont Blanc) to Uma and Victor by testing the constraints.
Uma climbs Mont Blanc using PeakGear; Victor climbs Elbrus.
If Victor climbed Mont Blanc (PeakGear), Uma would climb Elbrus. However, Uma cannot use Crest, and Elbrus cannot use Zenith, leaving no valid gear for her. Therefore, Uma must take Mont Blanc (PeakGear), leaving Elbrus for Victor.
4
Assign the final gear brands (Crest and Zenith) to Sam and Victor.
Victor uses Crest; Sam uses Zenith.
Victor is climbing Elbrus, and the rules explicitly state Elbrus does not use Zenith. Therefore, Victor uses Crest, leaving Zenith for Sam.

Anahtar Kavram

Matrix grouping and deductive elimination with negative constraints.
Tahmini Süre:2m 0s
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Konular

Analytical Puzzles and Grouping

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