एक परीक्षा में, 41% छात्र अर्थशास्त्र में अनुत्तीर्ण होते हैं, 35% छात्र भूगोल में और 39% छात्र इतिहास में अनुत्तीर्ण होते हैं, 5% छात्र तीनों विषयों में अनुत्तीर्ण होते हैं, 14% छात्र अर्थशास्त्र और भूगोल में, 21% छात्र भूगोल और इतिहास में और 18% छात्र इतिहास और अर्थशास्त्र में अनुत्तीर्ण होते हैं। केवल अर्थशास्त्र में अनुत्तीर्ण होने वाले छात्रों का प्रतिशत ज्ञात कीजिये।

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  1. 16%
  2. 14%
  3. 12%
  4. 10%

Answer (Detailed Solution Below)

Option 2 : 14%
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प्रश्नानुसार, निम्न वेन आरेख बनाते हैं,

 

अब,

e = 5%

b + e = 14%

⇒ b = 9%

और,

d + e = 18%

⇒ d = 13%

इसलिए, 

अर्थशास्त्र में अनुत्तीर्ण होने वाले छात्रों का प्रतिशत = a = 41% - (b + e + d)

a = 41% - (9 + 5 + 13)%

a = 41% - 27%

a = 14%

अतः, 14% सही उत्तर है।

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