Statistics & Applications PYQ — Page 4

Which of the following is not correct about the Compound Annual Growth Rate (CAGR)?

An automobile dealer wishes to buy four luxury cars of different brands given in the table below with some down payment and balance in equal monthly installments (EMI) for 10 years. The bank charges 9% interest per annum compounded monthly. $\left( {Given } \frac{0.0075 \times(1.0075)^{120}}{(1.0075)^{120}-1} = 0.01266\right)$ | Luxury Car | Price of the Car (in Rs.) | Down payment (in Rs.) | |---|---|---| | P | 25,00,000 | 5,00,000 | | Q | 35,00,000 | 12,00,000 | | R | 45,00,000 | 15,00,000 | | S | 42,00,000 | 15,00,000 | Match List-I with List-II | List-I | List-II | |---|---| | Luxury Car | EMI (in Rs.) | | (A) P | (I) 34,182 | | (B) Q | (II) 37,980 | | (C) R | (III) 29,118 | | (D) S | (IV) 25,320 | Choose the correct answer from the options given below:

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

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

Which of the following is not correct about the Central Limit Theorem?

A money lender charges Rs10 for Rs100 per month in advance then effective rate of interest per annum charged by money lender is: [given $\left(\frac{10}{9}\right)^{12} \approx 3.541$]

Consider a random sample of 10 students having 116 cm as mean height and standard deviation as 9.798 cm. If the suggested mean height of the students population is 110 cm then the t-test statistic of the sample is: [given $\frac{\sqrt{10}}{9.798} = 0.3227$]

Let $y = 138.86 + 7.64(x - 2021)$ be a straight line of best fit by using least square method to the following data: | Year(x) | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | |---|---|---|---|---|---|---|---| | Profit(y) (in Rs. '000) | 114 | 130 | 126 | 144 | 138 | 156 | 164 | Then the trend value for the year 2024 is:

Which of the following statements are correct? (A) A fund which is created to accumulate money over the years to discharge a future obligation is called a sinking fund. (B) The amount or future value of perpetuity is well-defined. (C) The sinking fund be used in any emergency. (D) An equated monthly installment is a fixed payment made by a borrower to a lender at a specific date every month to clear off the loan. Choose the correct answer from the options given below:

For the given five values, 13, 17, 21, 22, 32; the 3-year moving averages are:

A motorcycle has a scrap value of Rs. 22,500 after 15 years of its purchase. If the annual depreciation charge is Rs. 8,500, then the original cost by linear method is:

If the following data is obtained from a simple random sample: 6, 7, 9, 10, 11, 17 Then the point estimate of population standard deviation is:

Which of the following statements are correct about the "Central Limit Theorem"? (A) The sampling distribution of the sample mean approaches the normal distribution as the sample size gets larger. (B) A sample size of 30 or more is considered to be sufficient to hold the "Central Limit Theorem". (C) As the sample size becomes larger, the prediction of characteristics of the population becomes more accurate. (D) The sampling distribution of the sample mean approaches a bell shaped curve as the sample size gets larger. Choose the correct answer from the options given below:

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. 40000?

In a time series, the variations which occur due to general tendency of the data to increase or decrease over a long term are known as:

If n is the sample size of the population, then degree of freedom in t-distribution is

For the given five values $16, 25, 19, 34, 46$, the three years moving averages are

A machine costing ₹ 1,00,000 has a useful life of 5 years. The estimated scrap value is ₹ 20,000. Using straight line method the annual depreciation 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

The term of the perpetuity is

Which one of the following statement is **incorrect** about sinking fund?

The sale of ice creams is higher in summer than in winter is an example of

The following data are from a simple random sample: $6, 8, 11, 9, 15, 17$, then the point estimate of the population mean is

Which one of the following statement is not correct?