निम्नलिखित में से कौन-सा सबसे छोटा अनुपात है?

\(\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18} \)

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 1)
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  1. \(\frac{7}{9} \)
  2. \(\frac{13}{18}\)
  3. \(\frac{5}{6}\)
  4. \(\frac{11}{12}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{13}{18}\)
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गणना

5/6 = 0.8333

7/9 = 0.7778

11/12 = 0.9167

13/18 = 0.7222

⇒ सबसे छोटा दशमलव समतुल्य 13/18 है। 

∴ दिए गए विकल्पों में सबसे छोटा अनुपात 13/18 है।

Alternate Method \(\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18} \)

6, 9, 12, और 18 का लघुत्तम समापवर्त्य = 36

अब भिन्न निम्न प्रकार से बन जाते हैं:

5/6 = 30/36

7/9 = 28/36

11/12 = 33/36

13/18 = 26/36

अब, तुलना कीजिए और सबसे छोटा अंश ज्ञात कीजिए। 

सबसे छोटा भिन्न = 26/36 = 13/18

∴ दिए गए विकल्पों में सबसे छोटा अनुपात 13/18 है।

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