Statistics & Applications PYQ — Page 2

The effective rate, which is equivalent to a nominal rate of 12% compounded semi-annually, is

A measure of an average yearly growth of an investment over a certain time period when returns are reinvested is

The point estimate of the population standard deviation for the random sample 5, 8, 10, 7, 10, 14 is:

Which of the following are correct? (A) A statistical hypothesis is a statement about the population parameter which may be true or false. (B) In a statistical hypothesis testing procedure, a Type I error is made when the null hypothesis is accepted when it is false. (C) In a statistical hypothesis testing procedure, a Type II error is made when the null hypothesis is rejected when it is true. (D) The number of degrees of freedom of a statistic is the number of independent variates used to compute that statistic. Choose the correct answer from the options given below:

Choose the correct statement about CAGR(compound annual growth rate)?

The annual depreciation of a car is ₹ 40,000. If the scrap value of the car after 15 years is ₹ 50,000, then the original cost of the car using linear method is

Kavya takes a personal loan of ₹ 10,00,000 at the rate of 12% per annum for 5 years, then the EMI by using flat rate method is

Which of the following statements about the Sinking Fund are correct? (A) It is a fund established by a business entity by setting aside revenue over a period of time to fund a future capital expense. (B) It is a fund established by a business entity by setting aside revenue over a period of time to fund a future repayment of a long-term debt. (C) It is set up for any purpose that it may serve. (D) It is a fund that is accumulated for the purpose of paying off a financial obligation at some future designated date. Choose the correct answer from the options given below:

The level of production where the revenue from sales is equal to the cost of production and marketing is known as

The pattern and behavior of the data in any time series are based on which of the following components: (A) Secular trend component (B) Seasonal component (C) Cyclical component (D) Irregular component Choose the correct answer from the options given below:

A person invested ₹ 20000 in a mutual fund in year 2018. The value of the mutual fund increased to ₹ 32000 in year 2023. The compound annual growth rate of his investment is: [Given that $(1.6)^{1/5} = 1.098]$

A company purchased a machine for ₹ 15,00,000 and its effective life is estimated to be 10 years. A sinking fund is created for replacing the machine at the end of its effective life when its scrap value is ₹ 2,42,000. What amount company should provide, at the end of every year out of profits for the sinking fund if it accumulates an interest of 5% per annum? [Given(1.05)¹⁰=1.629]

Which of the following are correct about equated monthly installments (EMI)? (A) The EMI depends on principal borrowed, rate of interest and tenure of the loan. (B) It is a fixed amount made by borrower to the lender every month. (C) The interest remains constant for every EMI in reducing balance method. (D) As we pay off our loan, the outstanding principal amount decreases with every EMI in reducing balance method. Choose the correct answer from the options given below:

The average cost function for a commodity is given by $AC = 0.05x^2 - 5x + 1000 + \frac{3000}{x}$ in terms of output x. The fixed cost is

Mr. X wishes to purchase a flat for Rs. 44,60,800 with a down payment of Rs 10,00,000 and balance in equal monthly installments (EMI) for 20 years. If bank charges 7.5% per annum compounded monthly, then the EMI is: [Given that $(1.00625)^{240} \approx 4.4608$]

The break-even point is the level of production where

For 95% confidence interval for a population mean reported to be 132 to 142 with standard deviation $\sigma = 17.85$ then the sample size used in this case, is: [Given that: $Z_{0.125} = 1.96$]

For the given five values 18, 25, 20, 36, 49, the three years moving averages are

A person has an initial investment of ₹ 25000 in an investment plan. After 2. years it has grown ₹ 30000, then the rate of return on his investment is

The effective rate per annum equivalent to a nominal rate of 8% compounded semi-annually is

A person has purchased a home for Rs.10,00,000 with down payment of Rs 2,00,000. He amortize the balance at 9% per annum compounded monthly for 25 years then the equal monthly installment (EMI) is: [Given that: $\frac{(1.0075)^{300} - 1}{(.0075)(1.0075)^{300}} = 119.1616]$

For the given five values, 16,25,19,34,43, the three year moving averages are

Match **List-I** with **List-II** | List-I | List-II | |---|---| | (A) Perpetuity | (I) A person deposits a fixed amount every year in his bank account to renovate his house after 10 yrs. | | (B) EMI | (II) A person depositis an amount regularly in his bank account and withdraws in case of need. | | (C) Sinking Fund | (III) A fixed amount is debited from the bank account of a person, every month, against a personal loan. | | (D) Saving Account | (IV) A person purchased a house and rents it out. | Choose the **correct** answer from the options given below:

For the given five values, 15, 24, 18, 33, 42, the three-year moving averages are