CBSE Class 12 Applied Mathematics — MCQs

The real x for which $2(2x + 3) - 10 < 6(x - 2)$ is :

The number of all possible matrices of order $3 \times 2$ with each entry 1 or 2 is :

If $AB = A$ and $BA = B$, then $(B^2 + B)$ is equal to :

The value of the determinant $\begin{vmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{vmatrix}$ is :

General solution of differential equation $y \log y \, dx - x \, dy = 0$ is :

If $\int_{0}^{40} \frac{dx}{2x + 1} = \log k$, then the value of k is :

If $x = t^2$ and $y = t^3$, then $\frac{d^2y}{dx^2}$ is equal to :

The rate of change of the area of a circle with respect to its radius r (in $\text{cm}^2/\text{s}$), when $r = 6$ cm, is :

Let X be a discrete random variable, then the variance of X is :

If 'm' is the mean of a Poisson distribution, then its variance is given by :

The total area under a standard normal curve is :

For the purpose of t-test of significance, if a random sample of size 34 is drawn from a normal population, then the degree of freedom $(\nu)$ is :

The range of variable t of the t-distribution is :

The present value of a perpetuity of Rs R payable at the end of each period, when the money is worth i per period is :

Using flat rate method, the EMI to repay a loan of Rs 20,000 in $2\frac{1}{2}$ years at an interest rate of 8% per annum is :

If an investment of Rs 10,000 becomes Rs 60,000 in 4 years, then the Compound Annual Growth Rate (CAGR) is :

A machine costs Rs 45,000 with an estimated useful life of 5 years and a scrap value of Rs 10,000. The annual depreciation of the machine is :

The maximum value of the function $z = 7x + 5y$, subject to the constraints $x \le 3, y \le 2, x \ge 0, y \ge 0$ is :