List of practice Questions

Which one of the following numbers is not a prime number?

A man standing on the bank of a river observes that the angle subtended by a tree standing on the opposite bank is 60° on his side of Bank. When he moved away 24 m from the bank, he finds the angle to be 30°. Find the breadth of the river:

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

Cost of 6 pens and 9 pencils is ₹126. What is the cost of 8 pens and 12 pencils?

Speed of the boat along the current and against the current are 10 km/h and 8 km/h respectively.
What is the speed of the current?

A random variable has the following probability distribution

The value of P(X <3) is:

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

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

The points on the curve \(\frac{x^2}{9} + \frac{y^2}{16} = 1\) at which the tangents are parallel to x-axis:

The general solution of differential equation \(\frac{dy}{dx} - xy = e^{\frac{x^2}{2}}\)

The value of \(\int_0^{\frac{\pi}{2}} log (\frac{5 + 4 sinx}{5 + 4 cosx})dx\) is:

The area of the region bounded by the curves \(x^2=4y\), the line x = 3 and x axis is:

Equation of normal to curve \(y=x+\frac12sin2x\) at \(x=-\frac{\Pi}{2}\) is:

The sum of the order and degree of differential equation \(2x^3\left(\frac{d^2y}{dx^2}\right)^4 + \frac{d^3y}{dx^3}+y=0\) is :

If A is a square matrix of order 3 such that |A|= 2, then the value of |adj(adj A)| is:

The minimum value of z=3x+6y subject to the constraints \(2x+3y≤180\), \(x+y≥60\), \(x≥3y\), \(x≥0\), \(y≥0\) is:

Shaloo sold a mobile phone for ₹ 1,950 at a loss of 25%. At what price should she have sold it to get a profit of 30% ?

The integrating factor of the differential equation (1 +y²)dx - (tan^-1 y - x)dy = 0, is :

The determinant \(\begin{vmatrix} x & \sin\theta & \cos\theta \\ -\sin\theta & -x & 1 \\ \cos\theta & 1 & x \end{vmatrix}\) is :

For a discrete random variable X, whose probability distribution is defined as :
\(P(x)=\begin{cases} 2k(x+1) ;& x = 0,1 \\ 3kx; &  x=2 \\ k(5-x) & x=3 \end{cases}\)
The value of mean will be

A borrowed Rs 10000 each from his friends B and C for 2 years. He was supposed to pay compound interest at 10% per annum to B and simple interest 11% per annum to C. Who charged more interest at the end of 2 years and how much more ?

Match LIST I with LIST II

List-I		List-II
A	If the corner points of the feasible region For an LPP are (0, 4), (5, 0), (7, 9), then the minimum value of the objective function Z =5x+y is.	I	27
B	If the corner points of the feasible region for an LPP are (0, 0), (0, 2), (3, 4), (5, 3). then the maximum value of the objective function Z=3x+4y	II	60
C	The comer points of the feasible region for an LPP are (0, 2), (1, 2), (4,3), (7, 0). The objective function is Z = x+5y. Then (Max Z+Min Z) is	III	25
D	If the corner points of the feasible region for an LPP are (0, 4), (3, 0), (3, 2), (6,9) The objective function is Z=2x+6y. Then (Max Z-Min Z)	IV	26

Choose the correct answer from the options given below

A sum of money triples it self in 3 years at compound interest. In how many years will it becomes 9 times

Two unbiased coins are tossed. What is the probability of getting one head and one tail?

Which three of the given can be added to get a rectangular figure?