उस विकल्प का चयन कीजिए जो चौथे पद से उसी प्रकार संबंधित है जैसे पहला पद दूसरे पद से संबंधित है और पांचवाँ पद छठे पद से संबंधित है।

10 : 45 :: ? : 28 :: 11 : 55

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 2)
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  1. 9
  2. 8
  3. 12
  4. 10

Answer (Detailed Solution Below)

Option 2 : 8
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Detailed Solution

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तर्क : (प्रथम संख्या ÷ 2) × (प्रथम संख्या - 1) = द्वितीय संख्या

10 : 45 →

⇒ (10/2) × (10 -1) = 5 × 9 = 45

और, 

11 : 55 →

⇒ (11/2) × (11 -1) = (11/2) × 10 = 11 × 5 = 55

इसी प्रकार,

? : 28 →

⇒ (x/2) × (x -1) = 28

⇒ x(x - 1) = 56

⇒ x2 - x - 56 = 0 

⇒ (x - 8)(x + 7) = 0

⇒ x = या तो 8 या -7

चूँकि मान यहाँ ऋणात्मक नहीं हो सकता। इसलिए सही मान 8 होगा।

अतः, सही उत्तर "8" है।

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