List of practice Questions

If \(\frac{2}{\sqrt{x}} = 2\) and \(\frac{4}{\sqrt{y}} = -1\), then

Ionic bond is formed due to transfer of electrons from

The number of sigma and \(\pi\)-bonds in ethyne molecule:

How many two-digit numbers are divisible by 3?

Which one of the following is a ketone?

In a G.P. the 3rd term is 24 and 6th is 192, then the 10th term is:

Rainfall of a town in a week is 4 cm, 5 cm, 12 cm, 3 cm, 6 cm, 8 cm, and 4 cm, then the average rainfall per day is:

A Kiddy bank contains hundred 50 paise coins, fifty ₹1 coins, twenty ₹2 coins, and ten ₹5 coins. If one of the coins will fall out when the bank is turned upside down, what is the probability that the coin is a ₹5 coin?

From a helicopter, a person observes an object on the ground at an angle of depression of \(30^\circ\). If the helicopter is flying at a height of 500 m from the ground, then the distance between the person and the object is:

A boy observed the top of an electric pole at an angle of elevation of \(60^\circ\) when the observation point is 6 meters away from the foot of the pole, then the height of the pole is:

The magnetic force exerted on a 3 m length conductor carrying 2A current when placed in a uniform magnetic field 0.4 T at an angle 30° is

A chord of a circle of radius 4 cm is making an angle 60° at the centre, then the length of the chord is:

The volume of a right circular cone with radius 6 cm and height 7 cm is:
(use \(\pi = \frac{22}{7}\))

If two cubes each of volume 64 cm\(^3\) are joined end to end together, then the surface area of the resulting cuboid is:

The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:

The area of a sector, whose radius is 7 cm with the angle 72° is:

If \(\csc \theta + \cot \theta = k\), then the value of \(\csc \theta\) is:

If two concentric circles of radii 5 cm and 3 cm are drawn, then the length of the chord of the larger circle which touches the smaller circle is:

Area of the triangle formed by the points \((-5, -1)\), \((3, -5)\) and \((5, 2)\) is:

If the areas of two similar triangles are 81 cm\(^2\) and 49 cm\(^2\) respectively. If the altitude of the smaller triangle is 3.5 cm, then the corresponding altitude of the bigger triangle is:

The centroid of the triangle with vertices \((1, -1)\), \((0, 6)\), and \((-3, 0)\) is:

Bond angle in BeCl\(_2\) molecule is

What is the area, in square units, of the triangle formed by the points \( (3, 2), (3, -6) \) and \( (5, 2) \)?

If -1, -2 are two zeros of a polynomial \(2x^3 + ax^2 + bx - 2\), then the values of \(a\) and \(b\) are