Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़िए और उसके आधार पर मात्रा I और मात्रा II की तुलना कीजिए।

The ratio of ages of Husband and Wife 10 years from now will be 6:5 and the ratio of the ages of husband and wife was 9:7, 5 years ago अब से 10 वर्ष बाद पति और पत्नी की आयु का अनुपात 6:5 होगा और 5 वर्ष पहले पति और पत्नी की आयु का अनुपात 9:7 था, Quantity I: Age of Husband 5 years ago. Quantity II: Age of wife years 4 from now. मात्रा I: पति की आयु 5 वर्ष पहले। मात्रा II: पत्नी की आयु अब से 4 वर्ष।

  1. Quantity: I > Quantity: II मात्रा: I > मात्रा: II

  2. Quantity: I ≥ Quantity: II मात्रा: I ≥ मात्रा: II

  3. Quantity: I < Quantity: II मात्रा: I < मात्रा: II

  4. Quantity: II ≥ Quantity: I मात्रा: II ≥ मात्रा: I

  5. Quantity I = Quantity II or relation can't be established मात्रा I = मात्रा II या संबंध स्थापित नहीं किया जा सकता
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A Correct answer
Explanation

Let current ages be H (husband) and W (wife). From the ratios: (H+10)/(W+10) = 6/5 gives 5H+50=6W+60 or 5H−6W=10. From (H−5)/(W−5) = 9/7 gives 7H−35=9W−45 or 7H−9W=−10. Solving: Multiply first by 7: 35H−42W=70. Multiply second by 5: 35H−45W=−50. Subtracting: 3W=120, W=40. Then H = (6×40+10)/5 = 50. Quantity I (husband 5 years ago) = 50−5=45. Quantity II (wife 4 years from now) = 40+4=44. 45>44, so Quantity I > Quantity II.

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