CUET UG Mathematics — Statistics & Applications previous year questions with solutions.
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:
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:
A 95 % confidence interval states that the population mean is greater than 152 and less than 160. If $\sigma = 15$ and $Z_{0.025} = 1.96$, then what sample size was used in the study?
In reference to the Inferential Statistics, which of the following is NOT correct?
Which of the following is NOT correct?
A person has invested Rs.20,000 in 2020 for 5 years. If CAGR for his investment is 11.84%. The end balance of his investment is (Given $(1.1184)^5 \approx 1.7498$)
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 $(1.00625)^{240} \approx 4.4608$]
A company has been producing steel tubes of mean inner diameter of 2 cm. A sample of 10 tubes gives an inner diameter of 2.01 cm and a variance of 0.0004 cm². The value of test statistic is :
A measure of an average yearly growth of an investment over a certain time period when returns are reinvested is
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:
The number of letters posted in a certain city on each day for a week is given as follows: 40, 55, 28, 25, 31, 52, 43. Which of the following is not an entry in the three-day moving averages?
Which of the following are normal equations to fit a straight line trend y = a + bx by the method of least squares?
The following data shows the percentage of rural and urban Indian households who have a high speed internet connection. | Year (x) | Rural Household (y%) | Urban Household (y%) | |---|---|---| | 2020 | 2 | 6 | | 2021 | 3 | 7 | | 2022 | 3 | 9 | | 2023 | 4 | 15 | | 2024 | 5 | 20 | Based on the above data, which of the following statements are correct? (A) A straight line trend by the method of the least squares for rural Indians is $y^t$ = 3.4 + 0.7 (x - 2022) (B) A straight line trend by the method of the least squares for urban Indians is $y^t$ = 11.4 + 4.3 (x - 2022) (C) The forecast for the year 2025 for urban group using the trend equation is 22.2 %. (D) The forecast for the year 2025 for rural group using the trend equation is 5.5 %. Choose the correct answer from the options given below:
The point estimate of the population standard deviation for the random sample 5, 8, 10, 7, 10, 14 is:
A person invested ₹ 2,50,000 in a fund. At the end of the year, the value of the fund is ₹ 3,00,000. If the market price is the same at the end of the year, then the nominal rate of return is
The fund created to accumulate money over the years to discharge a future obligation is known as:
If a moneylender charges 'interest' at the rate of 10 rupees per 100 rupees per half year, payable in advance, then the effective rate of interest per annum is
Irregular trends in a time series are caused by (A) Epidemics (B) Strikes (C) Festival season (D) Floods Choose the correct answer from the options given below:
Mr. X purchased a house from a company for ₹ 7,00,000 and made a down payment of ₹ 1,50,000. He repays the balance in 25 years by equal monthly installments at 9 % per annum compounded monthly. The equated monthly installment (EMI) is: [Given that : (1.0075)⁻³⁰⁰ = 0.106]
In an influenza epidemic, the number of cases diagnosed in a week were as follows: | Day | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday | |---|---|---|---|---|---|---|---| | Number of Cases | 10 | 12 | 8 | 16 | 9 | 14 | 4 | The 3-day moving averages are:
Shyam invested ₹ 2,00,000 in 2019 for 5 years. If the compound annual growth rate (CAGR) for his investment is 10 %, then the end balance of his investment 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:
Mr. X wishes to purchase a flat for Rs. 44,65,000 with a down payment of Rs. 10,00,000 and balance in equated monthly installments (EMI) for 25 years. If the bank charges 6 % per annum compounded monthly, the EMI is: [Given: $(1.005)^{300} =4.4650$]
The behavior and pattern of the data in a time series is NOT based on which of the following component?