(52 - 32) এবং (5 - 3)-এর তৃতীয় সমানুপাতী হলো:

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SSC Selection Post 2024 (Graduate Level) Official Paper (Held On: 25 Jun, 2024 Shift 3)
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  1. \(\frac{1}{3}\)
  2. \(\frac{1}{8}\)
  3. \(\frac{1}{2}\)
  4. \(\frac{1}{4}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{4}\)
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প্রদত্ত:

(52 - 32) এবং (5 - 3)-এর তৃতীয় সমানুপাতী নির্ণয় করতে হবে।

ব্যবহৃত সূত্র:

যদি a:b = b:c হয়, তাহলে c হল a এবং b-এর তৃতীয় সমানুপাতী।

গণনা:

প্রদত্ত মানগুলি হল:

a = 52 - 32 = 25 - 9 = 16

b = 5 - 3 = 2

আমাদের c নির্ণয় করতে হবে যাতে:

a:b = b:c

⇒ 16:2 = 2:c

⇒ 16/2 = 2/c

⇒ 8 = 2/c

⇒ c = 2/8

⇒ c = 1/4

অতএব, (52 - 32) এবং (5 - 3)-এর তৃতীয় সমানুপাতী 1/4.

∴ সঠিক উত্তরটি হলো (4).

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