List of practice Questions

You are shown two animation sequences (A and B) of a ball falling off a surface. Assuming that they were pushed with the same force, identify which animation sequence depicts the heavier ball.

What is the maximum number of circular discs of equal size, which can be placed around a similar disc, such that the central disc is touched by all others but there is no overlap between any of the discs?

A platonic solid with 12 sides is called:

How many surfaces are there in the illustration shown?

Identify the famous graphic designer from the list.

Identify the drawing with correct perspective.

One of the methods of 3D printing is called:

Lost wax process is used in:

What is the material used commonly in the manufacture of household plastic buckets?

If \[ \Delta_r = \begin{vmatrix} 2r - 1 & mC_r & 1 \\ m^2 - 1 & 2^m & m + 1 \\ \sin^2(m^2) & \sin^2(m) & \sin^2(m + 1) \end{vmatrix}, \] then the value of \[ \sum_{r=0}^{m} \Delta_r \text{ is:} \]

Identify the famous Indian artist who painted the picture below:

Identify this tribal art form of India.

Identify the car brand from the visual shown.

Identify the following monument:

The symbol shown is associated with:

If \[ \Delta(x) = \begin{vmatrix} 1 & \cos{x} & 1 - \cos{x} \\ 1 + \sin{x} & \cos{x} & 1 + \sin{x} - \cos{x} \\ \sin{x} & \sin{x} & 1 \end{vmatrix}, \] then \[ \int_0^{\frac{\pi}{4}} \Delta(x) \, dx \text{ is equal to:} \]

Let \( f'(x) \) be differentiable for all \( x \). If \( f(1) = -2 \) and \[ f'(x) \geq 2 \quad \forall x \in [1, 6], \] then:

If \( (m,n) \) is an integer solution of \( \int_1^\infty \left( 1 + y^2 \right) dy \), then the expression for \( (m, n) \) in terms of \( (m+1, n+1) \) is?

The area in the first quadrant between \( x^2 + y^2 = 4 \) and \( y = \sin x \) is?

The area bounded by \( y = x \) and \( lines |x| = 1 \) is?

If \[ A = \begin{bmatrix} 3 & 4 \\ 5 & 7 \end{bmatrix}, \] then \( A \cdot \text{(adj A)} \) is equal to:

If there is an error of \( k% \) in measuring the edge of a cube, then the percent error in estimating its volume is:

If the system of equations \[ x + ky - z = 0, \quad 3x - ky - z = 0, \quad x - 3y + z = 0, \] has a non-zero solution, then \( k \) is equal to:

If the points \( (1, 2, 3) \) and \( (2, -1, 0) \) lie on the opposite sides of the plane \( 2x + 3y - 2z = k \), then \( k \) is:

If the area of the triangle on the complex plane formed by the points \( z = x + iy \) and \( z = 1 \) is 200, then the value of \( 3 \times |z| \) must be equal to?