k এর মান নির্ণয় করুন যদি 13 - [10 - {16 + 8 ÷ (k - 2)} + 2] = 20 হয়।

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. \(\frac{14}{3}\)
  2. \(\frac{31}{3}\)
  3. \(\frac{40}{13}\)
  4. \(\frac{23}{13}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{14}{3}\)
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Detailed Solution

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প্রদত্ত:

13 - [10 - {16 + 8 ÷ (k - 2)} + 2] = 20

ব্যবহৃত ধারণা:

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গণনা:

13 - [10 - {16 + 8 ÷ (k - 2)} + 2] = 20

⇒ - [10 - {16 + 8 ÷ (k - 2)} + 2] = 20 - 13

⇒ - [10 - {16 + 8 x 1/(k - 2)} + 2] = 7

⇒ - [10 - {16(k - 2) + 8}/(k - 2) + 2] = 7

⇒ - [{10(k - 2)} - {16(k - 2) + 8} + {2(k - 2)}] = 7(k - 2)

⇒ - [10k - 20 -16k + 32 - 8 + 2k - 4] = 7k - 14

⇒ 4k = 7k - 14

⇒ 3k = 14

⇒ k = 14/3

∴ সঠিক উত্তর হল 14/3

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