Statistics & Applications PYQ

The original value of an asset minus the accumulated depreciation at a given date is known as

Which of the following are NOT correct about "Sinking Fund"? (A) It does not have any specific purpose. (B) It can be used in any emergency. (C) Any amount, any time can be deposited in it. (D) It is set up for a particular upcoming expense. Choose the **correct** answer from the options given below:

A specific characteristic of a sample is known as a

A machine costing Rs. 25000 has a useful life of 4 years. The estimated scrap value is Rs. 5000. The annual depreciation by linear method is

The present value of a sequence of payments of Rs. 2000 made at the end of every 6 months and continuing forever, if money is worth 8% per annum compounded semi-annually, is:

Mr. Mittal invested Rs. 20,000 in a mutual fund in the year 2019. The value of the mutual fund increased to Rs. 32,000 in the year 2024. The compound annual growth rate of his investment is: [Given $(1.6)^{1/5} = 1.098$]

Mr. X wishes to purchase a house for ₹ 14,51,400 from a bank and decided to repay the loan by equal monthly installments (EMI) in 10 years. If bank charges interest at 9 % per annum compounded monthly, then the EMI is: [Given that $(1.0075)^{120} = 2.4514]$

Which of the following are normal equations to fit a straight line trend y = a + bx by the method of least squares?

Which of the following is NOT correct about "Sinking Fund"?

What sum of money is needed to invest now, so as to get Rs. 5000 at the beginning of every month forever, if the money is worth 6 % per annum compounded monthly?

Consider the following hypothesis test: $H_0: \mu = 18$ $H_1: \mu \neq 18$ If a sample of 48 provided a sample mean $\bar{x} = 17$ and a sample standard deviation $\sigma = 4.5$, then the value of the t-test statistic is:

Which of the following is not a component of the time series?

If $(t_1, y_1), (t_2, y_2), (t_3, y_3), ..., (t_n, y_n)$ denote the time series and $y_t$ are the trend values of the variable y, then $\sum(y - y_t)$, the sum of the deviations of y from their corresponding trend value is equal to:

A mobile phone costing ₹50000 has a useful life of 5 years. If the annual depreciation is ₹5000, then by using a linear method, its scrap value is

The rise and fall of share market is an example of

Consider the following hypothesis test, $H_0: \mu = 15$ $H_a: \mu ≠ 15$ A sample of 50 provided a sample mean of 14.15. If the sample standard deviation is 3, then the value of the test statistic t0-test is

Which of the following is correct about the compound annual growth rate(CAGR)?

The number of years required for a sum of money to get tripple at the effective rate of 4% is : (Given $(1.04)^{28} = 3)$

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

On 1st April 2024, person 'X' purchased a machinery costing ₹ 65000 and spent ₹ 10000 on its installation. The estimated effective life of the machinery is 5 years with a scrap value of ₹ 10000. The annual depreciation using the straight-line method with the accounting year ending on 31st March 2025 is:

Mr. X invested Rs. 4,00,000 in shares for 5 years. The value of this investment was Rs. 4,50,000 at the end of the second year, Rs. 490000 at the end of the third year and on maturity, the final value stood at Rs. 6,00,000. The compound annual growth rate of this investment is: [Given that: $(1.5)^{1/5} = 1.084]$

Which of the following is not the specification of the Sinking Fund?

A motorbike costing Rs. 1,25,000 has a scrap value of Rs. 25,000. If the annual depreciation charge is Rs. 12,500, then the useful life of the bike is(by using linear method):

Let us suppose that two independent random samples of sizes $n_1$ and $n_2$ has been drawn from the same normal population then degree of freedom of statistic t-distribution is: