उस विकल्प का चयन कीजिए जो पाँचवीं संख्या से उसी प्रकार संबंधित है जिस प्रकार दूसरी संख्या, पहली संख्या से संबंधित है और चौथी संख्या, तीसरी संख्या से संबंधित है।

243 : 9 :: 72 : 6 :: 576 : ?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 12
  2. 18
  3. 24
  4. 14

Answer (Detailed Solution Below)

Option 1 : 12
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यहाँ अनुसरण किया गया तर्क निम्न है:

तर्क: पहली संख्या = (दूसरी संख्या)2 × (दूसरी संख्या ÷ 3)

आइए तर्क के अनुसार जाँच करें,

243 : 9

→ 243 = (9)2 × (9 ÷ 3)

→ 243 = 81 × 3

→ 243 = 243

LHS (बायाँ पक्ष) = RHS (दायाँ पक्ष)

72 : 6

→ 72 = (6)2 × (6 ÷ 3)

→ 72 = 36 × 2

→ 72 = 72

LHS = RHS

इसी ​प्रकार,

576 : ?

→ 576 = (?)2 × (? ÷ 3)

→ 576 × 3 = (?)3

→ 1728 = (?)3

→ ? = 12

अतः, सही उत्तर "12" है।

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