CUET UG Mathematics — Applied-Mathematics previous year questions with solutions.
The effective rate equivalent to a nominal rate of 8% per annum compounded semi annually is :
If $x\%$ of $y + y\%$ of $30 = 61\%$ of $xy$, then $x =$
If $K \equiv 5 \pmod{11}$, then all the possible non-negative values of K are :
The investment ratio of P, Q and R if their profit ratio is 3 : 5 : 7 respectively and their investment time period ratio is 4 : 5 : 6 respectively is :
A point $P(3a, -2b)$ lies in region $4x + 7y \leq (-3)$ which of the following options is true ?
Ravi takes a loan of Rs. 40,000 at an interest of 12% per annum for a period of 4 year, then EMI by using flat method is :
For testing the difference between the means of two samples, the following data is available : | | Size | Mean | Variance | |---|---|---|---| | Sample 1 | 5 | 40 | 101 | | Sample 2 | 7 | 30 | 60 | The value of the t-statistics is :
The quantity of water that must be added to 36 litres of pure milk at $1\frac{1}{2}$ litres for Rs. 75 so as to have mixture worth Rs. 40 a litre is :
If $x = 2t^2 + 3, y = 3t^2 + 6t + 5$, then the value of $\frac{d^2y}{dx^2}$ is :
If a random variable X follows binomial distribution with mean 5 and variance $\frac{5}{2}$, then $P(X \leq 9)$ is :
A simple random sample consists of five observations 2, 4, 7, 12, 15. The point estimate of the population mean is :
A vehicle costing Rs. 10,50,000 has a final scrap value of Rs. 5,25,000. If annual depreciation charge is Rs. 75,000, then useful life of the vehicle is :
The random variable X has a probability distribution P(X) of the following form where k is a scalar and $P(X = x) = \begin{cases} k, & \text{if } x = 0 \\ 2k, & \text{if } x = 1 \\ 3k, & \text{if } x = 2 \\ 0, & \text{otherwise} \end{cases}$ then value of P(X < 2) = _______.
If $A' = \begin{bmatrix} -2 & 3 \\ 1 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} -1 & 0 \\ 2 & 3 \end{bmatrix}$ then $(3A + 2B)'$ is :
For a manufacturer, total cost function is given by $C = \frac{x^2}{25} + 2x$. Which of the following are correct ? A. 2.6 is the marginal cost when 5 units are produced. B. $\frac{2x}{25} + 2$ is the marginal cost function. C. $\frac{x}{25} + 2$ is the average cost function. D. 2.4 is the marginal cost when 5 units are produced. E. $\frac{x}{25} + 1$ is the average cost function. Choose the correct answer from the options given below:
If the cash equivalent of a perpetuity of Rs.1200 payable at end of each half year is Rs.96,000, the annual rate of interest compounded half yearly is :
The following data is available for two independent sample: | | SAMPLE-1 | SAMPLE-2 | |---|---|---| | sample size | 8 | 10 | | sample mean | 191 | 199 | | sample standard deviation | 10 | 12 | Then the value of t-statistic is :
Two positive numbers $x$ and $y$ such that $x + y = 60$ and $xy^3$ is maximum are :
The total cost of producing $x$ generators is given by TC = $x^3 - 60x^2 + 1500x + 2000$. The Marginal Cost (MC), when $x = 10$ units is:
A book consisting of 2000 pages has 540 misprints distributed randomly throughout the book. The average number of misprints in one page of the book is:
Let us consider an annuity whose periodic payment is Rs. R payable at the end of each payment period for 'n' periods, interest paid r% per period or $i = \frac{r}{100}$, so the amount of obligation can be given as _______.
A dishonest delivery man purchases 20 liters of pure milk and dilutes it by adding 4 liters of water. If he sells the diluted milk at Rs.50/L, then what is the cost price of pure milk?
Mr. X takes a personal loan of Rs.10,00,000 at the rate of 12% per annum for 6 years. Calculate his EMI by using flat rate method
The variance of the Binomial Distribution $B\left(5, \frac{1}{4}\right)$ is: