CUET UG Mathematics — Statistics & Applications previous year questions with solutions.
The value of a depreciable asset at the end of its useful life is called ____.
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:
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?
Which of the following is not a component of the time series?
A person has taken a loan of Rs. 40,000 for 3 months from a lender who has deducted Rs.2,000 as interest at the time of lending. Then the effective rate of interest charged per annum by lender is (given:$(1.0526)^4 = 1.2275):$
Anshu takes a personal loan of ₹10,00,000 at the rate of 12% per annum for 2 years, then the EMI by using flat rate method is
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
If for the following data: | Year (x) | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | |---|---|---|---|---|---|---|---| | Production(in tonnes) (y) | 40 | 45 | 46 | 42 | 47 | 50 | 46 | the equation of the straight line trend is $y = 45.143 + 1.036(x - 2003)$, then the trend value for the year 2004 is
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 statements are correct? (A) In the sinking fund a fixed amount at regular intervals is deposited. (B) Sinking fund is a long-term account which can be closed any time. (C) In a saving account, any amount, any time can be deposited. (D) Sinking fund can be used only for the purpose it was created. Choose the correct answer from the options given below:
Which of the following is correct about the compound annual growth rate(CAGR)?
Which of the following are correct? (A) The probability curve in t-distribution is symmetric about the line t=0. (B) t-axis is an asymptote of the curve. (C) The variable t of t-distribution ranges from $-\infty$ to $\infty$ (D) As the number of degrees of freedom increases, the t-distribution curve moves closer to the binomial distribution. Choose the correct answer from the options given below:
If we reject the null hypothesis when it is true, we might be making
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
Which of the following is not the specification of the Sinking Fund?
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: $(1.5)^{1/5} = 1.084]$
| Year (t) | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | |---|---|---|---|---|---|---|---| | Sales (in Rs. crores) (y) | 6 | 8 | 9 | 11 | 13 | 17 | 20 | In reference to the above data, which of the following statements are correct? (where $x = t - 2013$) (A) If the equation of the straight line trend is $y = 12 + 2.29 x$, then the trend value for the year 2017 is 21.16. (B) If the equation of the straight line trend is $y = 12 + 2.29 x$, then the trend value for the year 2013 is 11. (C) If the equation of the straight line trend is $y = 12 + 2.29 x$, then the trend value for the year 2015 is 17. (D) If $(t_1, y_2),(t_2, y_2),(t_3, y_3),......,(t_n, y_n)$ denote the time series and $y_t$ are the trend values of the variable y, then $\sum(y - y_t) = 0$. Choose the correct answer from the options given below:
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: $\frac{(1.0075)^{300} - 1}{(.0075)(1.0075)^{300}} = 119.1616]$
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):
For predicting the straight line trend in the sales of cars (in thousands) on the basis of 5 consecutive years' data, the company makes use of a 3-year moving averages method. If the sales of the cars for respective years are 15, 24, 18, 33 and 42 respectively, then which of the following averages will not be computed?
At what rate of interest will the present value of a perpetuity of Rs. 1000 payable at the end of every six months be Rs. 20000?