(52 - 32) और (5 - 3) के तृतीयानुपाती का मान ज्ञात कीजिए:

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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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दिया गया है:

(52 - 32) और (5 - 3) के तृतीयानुपाती का मान ज्ञात करना है।

प्रयुक्त सूत्र:

यदि a:b = b:c है, तो c, a और b का तृतीयानुपाती होता है।

गणना:

दिए गए मान निम्नानुसार हैं:

a = 52 - 32 = 16

b = 5 - 3 = 2

हमें c ज्ञात करना है ताकि:

a:b = b:c

⇒ 16:2 = 2:c

⇒ 16/2 = 2/c

⇒ 8 = 2/c

⇒ c = 2/8

⇒ c = 1/4

इस प्रकार, (52 - 32) और (5 - 3) के तृतीयानुपाती का अभीष्ट मान 1/4 है।

∴ सही उत्तर विकल्प (4) है।

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