List of practice Questions

A coin is tossed 5 times. The probability of getting atleast one head is:

If \(x = \frac{1}{t^2}\) and \(y =\frac{1}{t^3}\), then \(\frac{d^2y}{dx^2}\) at \(t=1\) is:

A motor boat covers 16 km in 2 hours downstream and 14 km in 2 hours upstream. The speed of the motor boat is:

The maximum profit that a company can make if the profit function is given by
\(P(x)=32+24x-18x^2\) is:

For x+y=8, the maximum value of xy is:

For matrix \(A = \begin{bmatrix}3&1\\ 7&5\end{bmatrix}\), the values of x and y so that \(A^2+xI=yA\) are:

Let A and B be symmetric matrices of same order, then which of the following statement is true?

If \(x^{\frac{3}{4}}+y^{\frac{3}{4}}=a^{\frac{3}{4}}\) (a is a constant) then \(\frac{dy}{dx}\) is equal to :

If \(A = \begin{bmatrix} 4&5&2\\ 3&-1&7\end{bmatrix}\), then the sum of the elements of the matrix AA^T is:

If the mean of the probability distribution is 5, then the value of k is:

For the LPP Max Z=3x+4y, x+y≤40; x+2y≤ 60, x≥0, y≥0 the solution is:

The solution of \(7x ≡ 3(mod 5)\) is:

The region represented by the system of inequalities x, y≥0, y≤8, x + y≤4 is:

With reference to time series, match List I with List II

Choose the correct answer from the options given below:

The random variable X has a probability distribution P(X) of the following form, where k is some number.

Then P(x≤2) is:

Fisher's price index number is:

For the formula \(t= \frac{μ_1 - μ_2}{\sqrt {\frac{S_1^2}{n_1}+\frac{S_2^2}{n_2}}}\) consider of the following statements:
A. \(μ_1\) and \(μ_2\) are sample mean and population mean respectively.
B. \(n_1\) and \(n_2\) are sample sizes of two samples from same population.
C. \(S_1\) and \(S_2\) are sample means of two samples from same population.
D. \(S_1\) and \(S_2\) are standard error of two samples from same population.
E. \(n_1\) is the sample size and \(n_2\) is the population size.
Choose the correct answer from the options given below:

Two pipes A and B can fill a cistern in 15 minutes and 30 minutes respectively. Both pipes are opened together, but after 5 minute pipe B is turned off. The cistern will be full in total:

A motor boat covers 36 km downstream and 24 km upstream. If the boat takes 6 hours to cover each distance, then the speed of the motor boat in still water is.

The index number of base yera is :

The effective rate equivalent to a nominal rate of 8% per annum compounded semi-annually is:

The percent income of a year on 6% debentures of face value of ₹100 available in the market for ₹200 is:

Shyam takes a loan of ₹5,00,000 with 8% annual interest rate for 10 years. The value of EMI under flat rate system is :

In reference to sampling, match List I with List II

Choose the correct answer from the options given below:

A loan of ₹200000 at the interest rate of 6% p.a. compounded monthly is to be amortized by equal payments at the end of each month for 5 years. The monthly payment is:
[Given (1.005)^-60 = 0.74137220]