x = 6 হলে x + 6, 3x + 6, 8x সংখ্যাগুলির চতুর্থ সমানুপাতিক সংখ্যাটি নির্ণয় করো।

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ITBP Constable Tradesman Official Paper (Held On: 27 Sept, 2023 Shift 1)
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  1. 80
  2. 98
  3. 96
  4. 88

Answer (Detailed Solution Below)

Option 3 : 96
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দেওয়া হয়েছে:

সংখ্যা: x + 6, 3x + 6, 8x

x = 6

ব্যবহৃত সূত্র:

a, b, এবং c সংখ্যার চতুর্থ সমানুপাতিক নির্ণয়ের জন্য নিম্নলিখিতটি দেওয়া হল:

\(\frac{a}{b} = \frac{c}{d}\)

হিসাব:

সংখ্যাগুলির সাথে x = 6 মানগুলি প্রতিস্থাপন করুন:

a = x + 6 = 6 + 6 = 12

b = 3x + 6 = 3(6) + 6 = 18 + 6 = 24

c = 8x = 8(6) = 48

সূত্র ব্যবহার করে চতুর্থ সমানুপাতিক d:

\(\frac{a}{b} = \frac{c}{d}\)

\(\frac{12}{24} = \frac{48}{d}\)

⇒ 12d = 24 × 48

⇒ d = 96

সঠিক উত্তর হল বিকল্প 3.

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