List of practice Questions

The circle x2+y2+4x−7y+12=0 cuts an intercept on y -axis of length
The derivative of sec-1 12x2-1 with respect to 1-x2 at x=12 is:
The rate of change of volume of a sphere with respect to its surface area when the radius is 4 cm is:
If A = {1, 2, 3, 4, 6} and R is a relation on A such that R = {(a, b) : a, b ∈ A and b is exactly divisible by a} then find the number of elements present in the range of R?
The number of terms of an AP is even. The sum of the odd terms is 24 and of the even terms is 30. The last term exceeds the first by 1012. Then the number of terms in the series is ______.
In a triangle ABC,AB=AC=8cm. A circle drawn with BC as diameter passes through A. Another circle drawn with center at A passes through B and C. Then the area,in sq.cm,of the overlapping region between the two circles is
A school has less than 5000 students and if the students are divided equally into teams of either 9 or 10 or 12 or 25 each, exactly 4 are always left out. However, if they are divided into teams of 11 each, no one is left out. The maximum number of teams of 12 each that can be formed out of the students in the school is
Which substance is produced when alcohol is added with petrol and used as a fuel?
The shapes of the compounds XeF2, XeF4, XeO3 and XeO4 respectively are:

Directions: The answer to the following question is a single digit integer ranging from 0 to 9. Enter the correct digit in the box given below.

How many open chain structures are possible for N-Methly butanamine (including it) that are referred to as metamers.

The enthalpy of vaporisation of a substance is 8400 J mol−1 and its boiling point is −173.15∘C. The entropy change for vaporisation is:

 If \(\frac{d}{dx}f(x) = 4x^3-\frac{3}{x^4}\) such that \(f(2)=0\), then \(f(x)\) is

Captain Hagberd constantly hinted at something that made Bessie blush. What was it?
Find \(x\) in the following figures.
Polygon a   Polygon b
It is known from past experience that in a certain plant there are on the average 4 industrial accidents per month. Find the probability that there will be less than 4 accidents in a given month. Given: (e−4=0.0183)
If the volume in $cm^3$ and surface area in $cm^2$ of a sphere are numerically equal. Then the radius of the sphere (in cm) is:
The dielectric constant of an insulator cannot be :
If $ ^{2n+3}C_{2n} - \,^{2n+2}C_{2n-1} = 15 \left(2n+1\right)$, then $n= $
If the radius of earth shrinks by 0.2% without change in its mass, the % change in its angular velocity is
Two forces in the ratio 1 : 2 act simultaneously on a particle. The resultant of these forces is three times the first force. The angle between them is
If $z(2-i)=(3+i)$, then $z^{20}$ is equal to
What was the attitude of the average Indian in smaller localities towards advocates of ‘home rule’?
The sum of the first 16 terms of an AP whose first term and the third term are 5 and 15 respectively is
Hydrogen ion concentration of an aqueous solution is 1 × 10-4 M.  The solution is diluted with equal volume of water.  Hydroxyl ion concentration of the resultant solution in terms of p×10-10 mol dm-3 . What is the value of p?

A galvanometer has a resistance of 96 Ω  and it is desired to pass 4% of the total current through it. The value of shunt resistance is ____?