4, a और 16a का चौथा अनुपातिक 81 है। a का मान कितना है?

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SSC CPO 2024 Official Paper-I (Held On: 27 Jun, 2024 Shift 1)
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  1. (13)/(2)
  2. (5)/(2)
  3. (9)/(2)
  4. (11)/(2)

Answer (Detailed Solution Below)

Option 3 : (9)/(2)
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
50 Qs. 50 Marks 35 Mins

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दिया गया है:

4, a और 16a का चौथा अनुपातिक 81 है।

प्रयुक्त सूत्र:

यदि x, 4, a, और 16a का चौथा आनुपातिक है, तो 4 : a = 16a : 81

गणना:

4 / a = 16a / 81

⇒ 4 × 81 = a × 16a

⇒ 324 = 16a2

⇒ a2 = 324 / 16

⇒ a2 = 20.25

⇒ a = √20.25

⇒ a = 4.5

 

इस प्रकार, a का मान 4.5 = 9/2 है।

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