Maths Quiz: Average, Interest Rate

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18 Questions

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

1 & 16

What is the value of the harmonic mean if the arithmetic mean and geometric mean between two numbers are 5 and 4 respectively?

3.6

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

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?

₹1550

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%?

23381.65

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

6.07%

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

4.833

What is the value of ∫(2x - 3)⁵ dx?

30

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

4

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?

5 years and 7 months

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?

16 years

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?

57,800

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

2.25219159

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?

34264

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'?

12,500

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?

15 years

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

40

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

Quartile deviation

Test your knowledge of mathematical concepts such as arithmetic mean, geometric mean, harmonic mean, and simple interest rate. Solve problems to find the correct answers.

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