5 : 6 गुणोत्तराच्या दोन्ही पदांमधून वजा केल्यास 17 : 22 पेक्षा लहान गुणोत्तर प्राप्त होईल अशी किमान पूर्ण संख्या शोधा.

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  1. 5
  2. 3
  3. 2
  4. 4

Answer (Detailed Solution Below)

Option 3 : 2
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Detailed Solution

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दिले:

प्रारंभिक गुणोत्तर = 5 ∶ 6

अंतिम गुणोत्तर 17 ∶ 22 पेक्षा कमी असावे

गणना:

वजा करण्यासाठी आवश्यक असलेली किमान पूर्ण संख्या अ असू द्या.

प्रश्नानुसार,

(५ - अ)/(६ - अ) < १७/२२

⇒ 5 x 22 - 22a < 17 x 6 - 17a

⇒ 110 - 22a < 102 - 17a

⇒ 110 - 102 < - 17a + 22a

⇒ 8 < 5a

⇒ ८/५ = १.६ < अ

∴ किमान पूर्ण संख्या 2 असणे आवश्यक आहे.

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