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\(\frac{432\times 432+247\times 247-432\times 247}{432\times 432\times 432+247\times 247\times 247}\)

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1)
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  1. \(\frac{1}{259}\)
  2. \(\frac{1}{185}\)
  3. \(\frac{1}{679}\)
  4. \(\frac{1}{450}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{1}{679}\)
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Detailed Solution

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অনুসৃত সূত্র: 

a3 + b3 = (a + b)(a2 + b2 - ab)

গণনা: 

⇒ \(\frac{432× 432+247× 247-432× 247}{432× 432× 432+247× 247× 247}\)

\(\frac{(432)^2 + (247)^2 - 432 × 247}{(432)^3 + (247)^3}\)

⇒ \(\frac{[(432)^2 + (247)^2 - 432 × 247]}{[(432) + (247)](432^2 + 247^2 - 432 \times 247)}\)

⇒ \(\frac{1}{432 + 247}\)

⇒ \(\frac{1}{679}\)

∴ সঠিক উত্তর 1/679

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