5-అంకెల సంఖ్య 750PQ 3, 7 మరియు 11 ద్వారా భాగించబడినట్లయితే, P + 2Q విలువ ఎంత?

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  1. 17
  2. 15
  3. 18
  4. 16

Answer (Detailed Solution Below)

Option 1 : 17
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ఇచ్చిన దత్తాంశం:

ఐదు అంకెల సంఖ్య 750PQ 3, 7 మరియు 11 ద్వారా భాగించబడుతుంది

ఉపయోగించిన కాన్సెప్ట్::

క.సా.గు యొక్క పద్ధతి

సాధన:

3, 7 మరియు 11 యొక్క క.సా.గు 231.

అతిపెద్ద 5-అంకెల సంఖ్య 75099 తీసుకొని దానిని 231తో భాగించడం ద్వారా.

మనం 75099ని 231తో భాగిస్తే మనకు 325 గుణకం మరియు 24 శేషం.

అప్పుడు, ఐదు అంకెల సంఖ్య 75099 - 24 = 75075.

సంఖ్య = 75075 మరియు P = 7, Q = 5

ఇప్పుడు,

P + 2Q = 7 + 10 = 17

∴ P + 2Q విలువ 17.

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