| 251 |
Under the multiplicative model of a time series, T = 500 units, S = 1.2, C = 0.9 and I = 1. The observed valu… |
Mathematics/Applied Mathematics
Time series and its components |
Hard |
| 252 |
The annual rainfall of one city recorded for 30 consecutive years is an example of: |
Mathematics/Applied Mathematics
Time series analysis |
Easy |
| 253 |
In a time-series graph (historigram), time is usually plotted on: |
Mathematics/Applied Mathematics
Time series analysis |
Easy |
| 254 |
In an additive time-series model, the observed value is 250 and the trend value is 230. The combined value of… |
Mathematics/Applied Mathematics
Time series analysis |
Medium |
| 255 |
Under the multiplicative model, a month's sales are 660 units and its seasonal index is 120. The deseasonalis… |
Mathematics/Applied Mathematics
Time series analysis |
Medium |
| 256 |
In a multiplicative model, the seasonal indices for the first three quarters of a year are 110, 95 and 85. Th… |
Mathematics/Applied Mathematics
Time series analysis |
Hard |
| 257 |
Which method of measuring secular trend is the most subjective, giving different results with different peopl… |
Mathematics/Applied Mathematics
Secular trend and its measurement |
Easy |
| 258 |
For the series 10, 14, 18, 16, 20, the 3-year moving averages are: |
Mathematics/Applied Mathematics
Secular trend and its measurement |
Medium |
| 259 |
Six years' sales are 20, 22, 24, 30, 32, 34. By the method of semi-averages, the two averages plotted are: |
Mathematics/Applied Mathematics
Secular trend and its measurement |
Medium |
| 260 |
A moving average with an even period, such as a 4-year moving average, must be: |
Mathematics/Applied Mathematics
Secular trend and its measurement |
Easy |
| 261 |
Using coded years X = −2, −1, 0, 1, 2 and values Y = 10, 12, 15, 17, 21, the least-squares trend line Y = a +… |
Mathematics/Applied Mathematics
Secular trend and its measurement |
Hard |
| 262 |
In statistics, the entire group of individuals or items about which information is required is called the: |
Mathematics/Applied Mathematics
Population and sample |
Easy |
| 263 |
A sampling method in which every member of the population has an equal chance of being selected is: |
Mathematics/Applied Mathematics
Population and sample |
Easy |
| 264 |
A systematic sample of 50 is to be drawn from a list of 500 students. If the random starting number is 7, the… |
Mathematics/Applied Mathematics
Population and sample |
Medium |
| 265 |
To study the reading habits of a city's residents, a researcher interviews only people found inside the publi… |
Mathematics/Applied Mathematics
Population and sample |
Medium |
| 266 |
How many different simple random samples of size 3 can be drawn without replacement from a population of 8 un… |
Mathematics/Applied Mathematics
Population and sample |
Hard |
| 267 |
The probability distribution of a statistic, obtained from all possible samples of the same size, is called i… |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Easy |
| 268 |
A population has standard deviation 20. The standard error of the mean for samples of size 100 is: |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Medium |
| 269 |
According to the central limit theorem, for a large sample size the sampling distribution of the sample mean … |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Medium |
| 270 |
In a hypothesis test, the 5% level of significance means: |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Easy |
| 271 |
A researcher wants to reduce the standard error of a sample mean to half its present value. The sample size m… |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Hard |
| 272 |
The one-sample t-test is appropriate for testing a population mean when: |
Mathematics/Applied Mathematics
t-test |
Easy |
| 273 |
In a one-sample t-test with a sample of size 16, the number of degrees of freedom is: |
Mathematics/Applied Mathematics
t-test |
Easy |
| 274 |
A sample of 16 items has mean 52 and standard deviation s = 4. To test H₀: μ = 50, the value of the t statist… |
Mathematics/Applied Mathematics
t-test |
Medium |
| 275 |
In a two-tailed t-test at the 5% level, the calculated value is |t| = 2.5 and the table value for the relevan… |
Mathematics/Applied Mathematics
t-test |
Medium |
| 276 |
A sample of 10 has mean 48 and standard deviation s = 3 (divisor n − 1). Testing H₀: μ = 50 against H₁: μ ≠ 5… |
Mathematics/Applied Mathematics
t-test |
Hard |
| 277 |
The present value of a perpetuity paying ₹5,000 at the end of every year, at 8% per annum, is: |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Easy |
| 278 |
A sinking fund is created mainly to: |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Easy |
| 279 |
A perpetuity due pays ₹5,000 every year, with the first payment made today. At 8% per annum, its present valu… |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Medium |
| 280 |
An endowment of ₹1,00,000 pays a scholarship of ₹6,000 at the end of every year for ever. The interest rate i… |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Medium |
| 281 |
A firm wants ₹1,00,000 at the end of 5 years. Interest is 10% compounded annually. Approximately how much mus… |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Hard |
| 282 |
A loan carries interest at 12% per annum compounded monthly. The value of i to be used in the EMI formula is: |
Mathematics/Applied Mathematics
EMI |
Easy |
| 283 |
For a loan repaid by EMIs on the reducing-balance method, which statement about the instalments over time is … |
Mathematics/Applied Mathematics
EMI |
Medium |
| 284 |
A loan of ₹60,000 is taken at a flat rate of 10% per annum for 2 years and repaid in equal monthly instalment… |
Mathematics/Applied Mathematics
EMI |
Medium |
| 285 |
Using the reducing-balance method, the EMI on a loan of ₹1,00,000 at 12% per annum for 12 months is approxima… |
Mathematics/Applied Mathematics
EMI |
Easy |
| 286 |
A loan of ₹20,000 at 1% per month is repaid in 2 equal monthly instalments (reducing balance). Each instalmen… |
Mathematics/Applied Mathematics
EMI |
Hard |
| 287 |
An investment of ₹50,000 is worth ₹60,000 at the end of the period, with no other income. The nominal rate of… |
Mathematics/Applied Mathematics
Rate of return and CAGR |
Easy |
| 288 |
The compound annual growth rate of an investment assumes that: |
Mathematics/Applied Mathematics
Rate of return and CAGR |
Easy |
| 289 |
An investment of ₹10,000 grows to ₹14,641 in 4 years. Its CAGR is: |
Mathematics/Applied Mathematics
Rate of return and CAGR |
Medium |
| 290 |
A share is bought for ₹200, pays a dividend of ₹10 during the year and is sold for ₹230 at the end of the yea… |
Mathematics/Applied Mathematics
Rate of return and CAGR |
Medium |
| 291 |
An investment rises by 50% in the first year and falls by 50% in the second year. Its CAGR over the two years… |
Mathematics/Applied Mathematics
Rate of return and CAGR |
Hard |
| 292 |
A machine costs ₹50,000, has a residual value of ₹5,000 and a useful life of 9 years. The annual depreciation… |
Mathematics/Applied Mathematics
Linear depreciation |
Easy |
| 293 |
For the machine costing ₹50,000 with annual straight-line depreciation of ₹5,000, the book value at the end o… |
Mathematics/Applied Mathematics
Linear depreciation |
Easy |
| 294 |
An asset costing ₹50,000 is depreciated by ₹5,000 each year on the straight-line method. The rate of deprecia… |
Mathematics/Applied Mathematics
Linear depreciation |
Medium |
| 295 |
A vehicle costs ₹1,20,000 and has a residual value of ₹20,000. If the straight-line depreciation is ₹12,500 p… |
Mathematics/Applied Mathematics
Linear depreciation |
Medium |
| 296 |
A machine is bought for ₹80,000 and ₹5,000 is spent on installation. Its residual value after 10 years is ₹5,… |
Mathematics/Applied Mathematics
Linear depreciation |
Hard |
| 297 |
A bond has a face value of ₹1,000 and an annual coupon rate of 8%. The annual coupon payment is: |
Mathematics/Applied Mathematics
Bond valuation |
Easy |
| 298 |
A bond's coupon rate is exactly equal to the market rate of interest on similar bonds. The bond will sell: |
Mathematics/Applied Mathematics
Bond valuation |
Easy |
| 299 |
If market interest rates rise after a fixed-coupon bond is issued, the price of that bond will: |
Mathematics/Applied Mathematics
Bond valuation |
Medium |
| 300 |
A 2-year bond with face value ₹1,000 pays a 10% annual coupon. If the market yield is 8%, its value is approx… |
Mathematics/Applied Mathematics
Bond valuation |
Medium |