A, B के धनात्मक वर्गमूल के अनुक्रमानुपाती है, और C के घन के व्युत्क्रमानुपाती है। यदि A = 15 है, जब B = 27 और C = 2 है, तो B को ज्ञात कीजिए जब A = 9 और C = 2 है।

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 2)
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SSC CGL Tier 1 2025 Full Test - 01
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दिया गया है:

A सीधे B के धनात्मक वर्गमूल के अनुक्रमानुपाती है।​

A = 15 है, जब B = 27 और C = 2 है।

प्रयुक्त अवधारणा:

यदि P ∝ Q और P ∝ R, तब P ∝ QR और P = H × QR; (यहाँ, H एक स्थिरांक है)

गणना:

प्रश्नानुसार,

∝  और A ∝ 1/C3

इसलिए, A ∝ 

⇒ A = k ×       ....(1) (यहाँ, k एक नियतांक है)

अब समीकरण (1) में A = 15, B = 27 और C = 2 रखने पर,

A = k × 

⇒ 15 = k × 

⇒ k = 

⇒ k = 

अब जब A = 9 और C = 2 है,

A = k × 

⇒ 9 =  × 

⇒  = 9/5

⇒ B/3 = 81/25

⇒ B = 243/25

∴ B का मान  है।

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