যদি \(\rm \frac{2a-5}{a}-\frac{4b-5}{b}+\frac{6c+5}{c}=0\) হয়, তাহলে \(\rm \left(\frac{1}{a}-\frac{1}{b}-\frac{1}{c}\right)\) এর মান কত?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. \(\frac{4}{5}\)
  2. \(-\frac{8}{5}\)
  3. \(\frac{2}{5}\)
  4. \(-\frac{12}{5}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{4}{5}\)
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গণনা:

আমাদের আছে,

\(\rm \frac{2a-5}{a}-\frac{4b-5}{b}+\frac{6c+5}{c}=0\)

⇒ 2 - \(\frac{5}{a}\) - 4 + \(\frac{5}{b}\) + 6 + \(\frac{5}{c}\) = 0

⇒ 8 - 4 = \(\frac{5}{a}\) - \(\frac{5}{b}\) - \(\frac{5}{c}\)

⇒ 4 = 5 [\(\frac{1}{a}\)  - \(\frac{1}{b}\) - \(\frac{1}{c}\) ]

⇒  [\(\frac{1}{a}\)  - \(\frac{1}{b}\) - \(\frac{1}{c}\) ] = 4/5

∴ সঠিক উত্তর হল বিকল্প (1)

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