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కింది ప్రశ్నలో కొన్ని ప్రకటనలు ఇవ్వబడ్డాయి, ఆ ప్రకటనలు 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. అన్ని Tలు G.

II. అన్ని Gలు H.

ముగింపులు:

I. అన్ని Tలు H.

II. ఏ G T కాదు.

III. అన్ని H లు G.

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 1)
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  1. అన్ని ముగింపులు అనుసరిస్తాయి
  2. ముగింపు III మాత్రమే అనుసరిస్తుంది
  3. ముగింపు I మాత్రమే అనుసరిస్తుంది
  4. ముగింపు II మాత్రమే అనుసరిస్తుంది

Answer (Detailed Solution Below)

Option 3 : ముగింపు I మాత్రమే అనుసరిస్తుంది
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Detailed Solution

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ప్రకటనలు:

I. అన్ని Tలు G.

II. అన్ని G లు H.

ఇచ్చిన ప్రకటనకు సాధ్యమయ్యే అతి తక్కువ వెన్ రేఖాచిత్రం:

ముగింపులు:

I. అన్ని T లు H → అనుసరిస్తుంది → అన్ని Tలు G మరియు అన్ని Gలు H కాబట్టి అన్ని T లు H ఖచ్చితంగా నిజమని అర్థం.

II. ఏ G T కాదు → అనుసరించదు → అన్ని Tలు G కాబట్టి కొంత G తప్పనిసరిగా T అయ్యి ఉండాలి, కాబట్టి ముగింపు ఖచ్చితంగా తప్పు.

III. అన్ని H లు G → అనుసరించదు → అన్ని G లు H, కాబట్టి ఇది సాధ్యమవుతుంది కానీ ఖచ్చితంగా నిజం కాదు.

అందువల్ల, ముగింపు I మాత్రమే అనుసరిస్తుంది.

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