p যদি 3, 9-এর তৃতীয় সমানুপাতিক হয়, তাহলে 6, p, 4-এর চতুর্থ সমানুপাতিক কত?

This question was previously asked in
SSC CGL 2020 Tier-I Official Paper 19 (Held On : 24 Aug 2021 Shift 1)
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  1. 10
  2. \(\frac{3}{2}\)
  3. 18
  4. 2√3

Answer (Detailed Solution Below)

Option 3 : 18
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Detailed Solution

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প্রদত্ত:

p হল 3, 9-এর তৃতীয় সমানুপাতিক

গণনা:

ধরি চতুর্থ সমানুপাতিক x

p হল 3, 9-এর তৃতীয় সমানুপাতিক

⇒ 3/9 = 9/p

⇒ 3p = 81

⇒ p = 27

এখন,

চতুর্থ সমানুপাতিক হল

⇒ 6/27 = 4/x

⇒ 6x = (27 × 4)

⇒ 6x = 108

⇒ x = 18

∴ চতুর্থ সমানুপাতিকের মান 18

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