Multiple choice

Which information are sufficient to answer the question asked? पूछे गए प्रश्न का उत्तर देने के लिए कौन सी जानकारियाँ पर्याप्त है? A principal becomes 27 time, in how many year if the interest is being compounded yearly? एक राशि उसके मूलधन का 27 गुना कितने साल में हो जाएगी हो जाती है यदि ब्याज की गणना चक्रवृद्धि वार्षिक रूप से किया जाता है? Statement I: the principal amount is 35000. Statement II: A sum becomes 9 times in a year when interest is being compounded half yearly Statement III: In half yearly calculation the rate of interest will become half and the time will be double. कथन I: मूल राशि 34500 है| कथन II: एक राशि एक वर्ष में 4 गुना हो जाती है जब ब्याज की गणना छमाही चक्रवृद्धि दर पर की जाती है| कथन III: अर्धवार्षिक गणना में ब्याज की दर आधी हो जाएगी और समय दोगुना हो जाएगा।

  1. Any two कोई भी दो

  2. I and II I तथा II

  3. I and II or III I तथा II या III

  4. Only II केवल II

  5. None of these इनमे से कोई नहीं

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From II: P becomes 9P in 1 year with half-yearly compounding. With half-yearly: rate per period = r/2, periods = 2. So P(1 + r/2)² = 9P, meaning (1 + r/2)² = 9 = 3². Thus 1 + r/2 = 3, so r = 400%. For yearly compounding: P(1 + 4)ᵗ = 27P, so 5ᵗ = 27, giving t = log(27)/log(5) ≈ 2.05 years. Only Statement II is needed. I gives principal amount (not needed), and III just states the half-yearly conversion rule.