4, 8, 12, 22 या चार संख्यांना प्रमाणबद्ध करण्यासाठी त्यांमध्ये खालीलपैकी काय मिळवावे लागेल?  

This question was previously asked in
RRC Group D Previous Paper 57 (Held On: 29 Oct 2018 Shift 3)
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  1. \(\frac{4}{3}\)
  2. \(\frac{3}{4}\)
  3. \(\frac{8}{3}\)
  4. \(\frac{5}{6}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{4}{3}\)
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Detailed Solution

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दिलेल्याप्रमाणे:

चार संख्या 4, 8, 12, 22

वापरलेली संकल्पना:

w/x = y/z

वापरलेली गणना:

यातील प्रत्येक संख्येत x ही संख्या मिळविली जाईल, म्हणून नवीन संख्या होईल

पहिली संख्या = 4 + x

दुसरी संख्या = 8 + x

तिसरी संख्या = 12 + x

चौथी संख्या = 22 + x

प्रमाणात रचना करा

⇒ (4 + x)/(8 + x) = (12 + x)/(22 + x)

वरील समीकरण सोडवले,

⇒ (4 + x)(22 + x) = (12 + x)(8 + x)

⇒ 88 + 26x + x2 = 96 + 20x + x2

⇒ 6x = 8

⇒ x = 4/3

∴ x = 4/3

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