Maths Quiz: Average, Interest Rate
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Questions and Answers

If the arithmetic mean and geometric mean between two numbers are 5 and 4 respectively, what are the numbers?

  • 4 & 6
  • 1 & 16 (correct)
  • 2 & 8
  • 3 & 7
  • What is the value of the harmonic mean if the arithmetic mean and geometric mean between two numbers are 5 and 4 respectively?

  • 3.4
  • 3.6 (correct)
  • 3.5
  • 3.2
  • If 64 amounts to 83.20 in 2 years, what will 86 amount to in 4 years at the same rate percent per annum?

  • ₹127.60 (correct)
  • ₹145.34
  • ₹117.60
  • ₹147.60
  • What is the cost of the cow if a farmer borrowed 3600 at the rate of 15% simple interest per annum and cleared the account by paying 4000 and a cow?

    <p>₹1550</p> Signup and view all the answers

    How much amount is to be invested every year to accumulate 5, 00,000 at the end of 12 years if interest is compounded annually at 10%?

    <p>23381.65</p> Signup and view all the answers

    What is the effective annual rate of interest corresponding to a normal rate of 6% per annum payable half yearly?

    <p>6.07%</p> Signup and view all the answers

    What is the area under the curve f(x) = x² + 5x + 2 with the limits 0 to 1?

    <p>4.833</p> Signup and view all the answers

    What is the value of ∫(2x - 3)⁵ dx?

    <p>30</p> Signup and view all the answers

    What is the value of ∫(2x - 3)⁶ / 6 dx?

    <p>4</p> Signup and view all the answers

    In how many years will a machine worth 4,90,740, depreciated at 15% on its opening value each year, reduce to 2,00,750?

    <p>5 years and 7 months</p> Signup and view all the answers

    If a sum of money doubles in 4 years, how many years will it take to become 32 times of itself at the same rate of compound interest?

    <p>16 years</p> Signup and view all the answers

    What is the future value of an annuity where ₹5000 is invested every month end in an account paying interest 12% per year compounded monthly, just after making 11th payment?

    <p>57,800</p> Signup and view all the answers

    What is the value of (1 + 0.07)^12?

    <p>2.25219159</p> Signup and view all the answers

    If Mr. A invests 10,000 every year for the next 3 years at an interest rate of 8% per annum compounded annually, what is the future value of this annuity?

    <p>34264</p> Signup and view all the answers

    If Mr. Prakash invested money in two schemes 'A' and 'B' offering compound interests at the rate of 8% and 9% per annum respectively, and the total amount of interest accrued through these two schemes together in two years was 4818.30, what was the amount invested in scheme 'A'?

    <p>12,500</p> Signup and view all the answers

    If the average age of 15 students in a class is 9 years, out of them, the average age of 5 students is 13 years, and that of 8 students is 5 years, what is the average age of the remaining 2 students?

    <p>15 years</p> Signup and view all the answers

    If the coefficient of variation and standard deviation are 30 and 12 respectively, then the arithmetic mean of the distribution is

    <p>40</p> Signup and view all the answers

    Which of the following is a measure of dispersion based on the central 50% of the observations?

    <p>Quartile deviation</p> Signup and view all the answers

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