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కింది ప్రశ్నలో కొన్ని ప్రకటనలు ఇవ్వబడ్డాయి, ఆ ప్రకటనల ఆధారంగా కొన్ని ముగింపులు ఇవ్వబడ్డాయి. ఇచ్చిన ప్రకటనలు సాధారణంగా తెలిసిన వాస్తవాలకు భిన్నంగా ఉన్నట్లు అనిపించినప్పటికీ వాటిని నిజం అని తీసుకోవడం. అన్ని ముగింపులను చదవండి మరియు ఇచ్చిన ప్రకటనలలో ఏది తార్కికంగా ఇవ్వబడిన ప్రకటనలను అనుసరించాలో నిర్ణయించండి.
 
ప్రకటనలు:
 
I. కొన్ని P అంటే K.
 
II. ఏ K, T కాదు.
 
ముగింపులు:
 
I. అన్ని P లు T.
 
II. అన్ని T లు K.
 
III. కొన్ని Pలు T కాదు.

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. ముగింపు II మాత్రమే అనుసరిస్తుంది
  2. ముగింపు III మాత్రమే అనుసరిస్తుంది
  3. అన్ని ముగింపులు అనుసరిస్తాయి
  4. ముగింపులు II మరియు III అనుసరిస్తాయి

Answer (Detailed Solution Below)

Option 2 : ముగింపు III మాత్రమే అనుసరిస్తుంది
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Detailed Solution

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ఇచ్చిన  ప్రకటనల కోసం సాధ్యమైనంత తక్కువ వెన్ రేఖాచిత్రం క్రింద చూపబడింది:
ముగింపులు:
 
I. అన్ని P T → అనుసరించదు (కొన్ని P K మరియు ఏ K T కాదు. కాబట్టి, కొన్ని P యొక్క భాగం K లో వస్తుంది, ఇది T తో ప్రత్యక్ష ప్రతికూల లేదా క్రాస్ రిలేషన్ కలిగి ఉంటుంది కాబట్టి ఇది ఖచ్చితంగా తప్పు)
 
II. అన్ని T K → అనుసరించదు (ఏ K T కాదు కాబట్టి, K మరియు T మధ్య ప్రత్యక్ష ప్రతికూల లేదా క్రాస్ రిలేషన్ ఇవ్వబడుతుంది కాబట్టి ఇది ఖచ్చితంగా తప్పు)
 
III. కొన్ని P T కాదు → అనుసరిస్తుంది (కొన్ని P K మరియు ఏ K T కాదు. కాబట్టి, కొన్ని P యొక్క భాగం K లో వస్తుంది, ఇది T తో ప్రత్యక్ష ప్రతికూల లేదా క్రాస్ రిలేషన్ కలిగి ఉంటుంది కాబట్టి ఇది ఖచ్చితంగా నిజం)
 
∴ ఇక్కడ, ముగింపు III మాత్రమే అనుసరిస్తుంది.
 
కాబట్టి, సరైన సమాధానం "ముగింపు III మాత్రమే అనుసరిస్తుంది"
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