एक ट्रेन द्वारा (5y - 1) घंटे में तय की गई दूरी (125y3 - 1) किमी है। ट्रेन की गति ज्ञात कीजिए।

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. (5y3 - 1) किमी/घंटा
  2. (25y2 - 5y + 1) किमी/घंटा
  3. (5y + 1) किमी/घंटा
  4. (25y2 + 5y + 1) किमी/घंटा

Answer (Detailed Solution Below)

Option 4 : (25y2 + 5y + 1) किमी/घंटा
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Detailed Solution

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दिया गया​ है:

एक ट्रेन द्वारा (5y - 1) घंटे में तय की गई दूरी (125y3 - 1) किमी है।

प्रयुक्त अवधारणा:

a3 - b3 = (a - b)(a2 + ab + b2)

गणना:

ट्रेन की गति

⇒ (125y3 - 1) ÷ (5y - 1)

⇒ \(\frac {(5y)^3 - 1}{(5y - 1)}\)

⇒ \(\frac {(5y - 1)(25y^2 + 5y + 1)}{(5y - 1)}\)

⇒ (25y2 + 5y + 1) किमी/घंटा

∴ ट्रेन की गति (25y2 + 5y + 1) किमी/घंटा है।

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