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Zorluk: ZorMust Be True / Most Strongly Supported

Every deep-sea research probe deployed into the Hadal zone that operates below 7,000 meters requires a titanium-composite pressure hull. No probe equipped with a titanium-composite pressure hull can utilize standard acoustic telemetry for real-time surface communication. Any probe that cannot utilize standard acoustic telemetry must record its observational telemetry locally onto solid-state optical drives unless it is tethered directly to a fiber-optic surface buoy. Last season, the Mariana Oceanic Survey deployed six autonomous, untethered probes into the Hadal zone, all of which operated at a depth of 8,200 meters throughout their missions. Furthermore, some probes deployed by the survey last season suffered complete failure of their external imaging sensors.

If all the statements above are true, which of the following statements must also be true? (Select all correct statements.)

  1. All six autonomous probes deployed by the Mariana Oceanic Survey last season recorded their observational telemetry locally onto solid-state optical drives.Cevap
  2. B
    Every autonomous probe deployed into the Hadal zone that was equipped with a titanium-composite pressure hull operated at a depth of 8,200 meters.
  3. Any Hadal zone probe that successfully utilizes standard acoustic telemetry for real-time surface communication does not operate below 7,000 meters.Cevap
  4. D
    Every untethered autonomous probe deployed by the Mariana Oceanic Survey last season suffered a complete failure of its external imaging sensors.
  5. E
    Standard acoustic telemetry is the only method available for deep-sea research probes to transmit observational data in real time to the surface.

Cevap

The statements asserting that all six autonomous probes recorded telemetry locally onto solid-state optical drives and that any Hadal zone probe utilizing standard acoustic telemetry does not operate below 7,000 meters must both be true.
Both correct statements are logically inescapable deductions. The first follows from chaining the depth threshold to the hull requirement, to the absence of acoustic telemetry, and finally to local optical recording given that the probes were untethered. The second is the strict contrapositive of the initial conditional chain: standard acoustic communication guarantees the absence of a titanium pressure hull, which in turn guarantees that the probe does not operate below 7,000 meters in the Hadal zone.

Adım Adım Çözüm

1
Diagram the formal conditional premises from the stimulus.
Operating below 7,000 m in Hadal zone -> Titanium hull -> No standard acoustic telemetry -> (Tethered to fiber-optic buoy OR Local solid-state optical recording).
Establishing explicit conditional relationships allows deductive chaining and contrapositive derivations.
2
Apply the specific case of the six Mariana Oceanic Survey probes.
Operating at 8,200 m (> 7,000 m) means all 6 had titanium hulls, which means none could use standard acoustic telemetry. Because they were untethered, all 6 must have recorded locally onto solid-state optical drives.
Applying the conditional chain to the factual scenario proves the first valid deduction.
3
Derive the contrapositive chain for probes utilizing standard acoustic telemetry.
Utilizes standard acoustic telemetry -> No titanium hull -> Does not operate below 7,000 m in the Hadal zone (operates at 7,000 m or shallower).
A valid contrapositive inference is logically guaranteed to be true whenever the original conditional premises are true.
4
Evaluate and eliminate distractors based on quantifier shifts and logical fallacies.
Statements committing conditional reversal, illegitimate quantifier escalation from 'some' to 'every', and unwarranted exclusivity claims are invalid.
Deductive validity requires strict conformity to established premises without scope broadening.

Anahtar Kavram

Multi-premise conditional chaining, contrapositive derivation, and strict quantifier boundaries
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