(52 - 32) आणि (5 - 3) यांचा तिसरा समानुपाती काढा:

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SSC Selection Post 2024 (Graduate Level) Official Paper (Held On: 25 Jun, 2024 Shift 3)
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  1. \(\frac{1}{3}\)
  2. \(\frac{1}{8}\)
  3. \(\frac{1}{2}\)
  4. \(\frac{1}{4}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{4}\)
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दिलेल्याप्रमाणे:

(52 - 32) आणि (5 - 3) यांचा तिसरा समानुपाती काढा.

वापरलेले सूत्र:

जर a:b = b:c असेल, तर c हा a आणि b चा तिसरा समानुपाती आहे.

गणना:

दिलेले मूल्ये आहेत:

a = 52 - 32 = 16

b = 5 - 3 = 2

आपल्याला असे c शोधायचे आहे की:

a:b = b:c

⇒ 16:2 = 2:c

⇒ 16/2 = 2/c

⇒ 8 = 2/c

⇒ c = 2/8

⇒ c = 1/4

म्हणून, (52 - 32) आणि (5 - 3) यांचा तिसरा समानुपाती 1/4 आहे.

∴ योग्य उत्तर पर्याय (4) आहे.

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