CUET UG Mathematics — Statistics & Applications previous year questions with solutions.
If CAGR stands for Compound Annual Growth Rate, F.V stands for final value of an investment, P.V stands for present value of an investment and n is the number of years then
The rise in prices before festivals is an example of
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
Arrange the following as per statistical inferences: (A) Data Analysis (B) Population (C) Making Inferences (D) Data Collection Choose the correct answer from the options given below:
Let two independent random samples of sizes $n_1$ and $n_2$ respectively have been drawn from the same normal population. Let $\overline{X_1}$ and $\overline{X_2}$ be the means and let $s_1$ and $s_2$ be their standard deviations. In order to test whether the the two sample means $\overline{X_1}$ and $\overline{X_2}$ differ significantly or not, the $t$-test statistic is given by
| Year (x) | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | |---|---|---|---|---|---|---|---| | Sales (in lakh Rs.) (y) | 65 | 68 | 70 | 72 | 75 | 67 | 73 | If $y = 70 + 0.964(x - 2014)$ be a straight line trend fitted by the method of the least squares to the above data, then the trend value for the year 2015 is:
Which of the following are similarities between the sinking fund and the savings account? (A) The sinking fund and the savings account are both financial tools. (B) Both can be used in any emergency. (C) They both involve setting aside an amount of money for the future. (D) Both are long-term accounts which can be closed any time. Choose the correct answer from the options given below:
A T.V. panel costing Rs 18000 has a useful life of 12 years. If the annual depreciation is Rs 1000, then its scrap value by linear method is:
For the given 5 values 24, 18, 33, 42, 24; the 3-year moving averages are:
Ajesh purchased a printer ₹ 15,000. The printer is estimated to have a scrap value of ₹ 3,000 after a span of 6 years. Then the book value of the printer at the end of 3 years will be:-
Consider the following hypothesis test: $H_0: \mu \leq 16$ $H_a: \mu > 16$ A sample of 25 provided a sample mean $\bar{x} = 17$ and a sample standard deviation $s = 3.5$, then the value of the test statistic in $t$-test is:
A measurable characteristic of a population is called _____.
At 6% converted quarterly, the present value of a perpetuity of ₹ 900 payable at the end of each quarter is:
Every year the price of a motorcycle depreciates by Rs. 15000. After 12 years its price has become Rs. 50000. Then its original cost was:
Which of the following is NOT correct about the Central Limit Theorem?
Due to which of the following, the irregular variations in a time series are caused: (A) Floods (B) Rise in prices before festivals (C) A fire in a factory (D) Epidemics Choose the **correct** answer from the options given below:
For the given five values 15,24,18,33,42, the three years moving averages are
If $r_{eff}$ = effective rate of interest, $r$ = nominal rate of interest and $m$ = number of conversion periods per year, the relationship between nominal rate and effective rate of interest is:
When the two independent small samples of sizes $n_1$ and $n_2$ with means $\bar{x}_1$ and $\bar{x}_2$ respectively are drawn from populations with identical population variances, the test-statistic is computed as
Let $P, I$ and $n$ be the principal of the loan, the total interest on the principal and number of months in the loan period respectively, then the EMI by 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:
On which of the following components, the pattern and behavior of the data in any time series is based? (A). Secular trend component (B). Seasonal component (C). Cyclical component (D). Regular component Choose the correct answer from the options given below:
When data of the variable is collected at distinct time intervals for a specified period of time, it is called
Which of the following statements are correct about the Compound Annual Growth Rate (CAGR)? (A) It can be used to compare historical returns on different investment portfolios. (B) It helps smooth returns when growth rates are expected to be volatile and inconsistent. (C) It is unable to track the performance of various business measures of one or multiple companies alongside one another. (D) It can be used to calculate the average growth of a single investment. Choose the correct answer from the options given below: