यदि 125 : y :: y : 180 है, तो y का धनात्मक मान ज्ञात कीजिए।

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  1. 150
  2. 148
  3. 145
  4. 158

Answer (Detailed Solution Below)

Option 1 : 150
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दिया गया है:

125 : y :: y : 180

प्रयुक्त सूत्र:

अनुपात में, a : b :: c : d, a × d = b × c के समतुल्य है।

गणना:

सूत्र का उपयोग करने पर:

125 : y :: y : 180

⇒ 125 × 180 = y × y

⇒ y2 = 125 × 180

⇒ y2 = 22500

⇒ y = √22500

⇒ y = 150

y का धनात्मक मान 150 है।

सही उत्तर विकल्प 1 है।

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