उस विकल्प का चयन कीजिए जो चौथे पद से उसी प्रकार संबंधित है जिस प्रकार पहला पद, दूसरे पद से संबंधित है और पाँचवाँ पद, छठे पद से संबंधित है।

4 : 33 :: ? : 109 :: 8 : 257

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 3)
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  1. 5
  2. 9
  3. 6
  4. 7

Answer (Detailed Solution Below)

Option 3 : 6
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दिया गया है:

4 : 33 :: ? : 109 :: 8 : 257

तर्क: दूसरी संख्या = [{(पहली संख्या)3 + 2} ÷ 2]

4 : 33 

⇒ [{(4)3 + 2} ÷ 2]

⇒ [(64 + 2) ÷ 2]

⇒ (66 ÷ 2) = 33

8 : 257 

⇒ [{(8)3 + 2} ÷ 2]

⇒ [(512 + 2) ÷ 2]

⇒ (514 ÷ 2) = 257

इसी तरह, '? : 109' के लिए 

⇒ [{(Y)3 + 2} ÷ 2] = 109

⇒ [{(Y)3 + 2}] = (109 × 2)

⇒ (Y)3 = 218 - 2

⇒ (Y)3 = 216  

Y = 6

यहाँ, '6 : 109' सही युग्म है।

अतः सही उत्तर "विकल्प (3)" है।

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