List of practice Questions

Identify the odd one out.

Identify the odd letter(s) which do not share the same font with any others.

Which among the following are weights in a font family?

Identify the symbol shown below.

How many fonts have been used to write the following set of words?
hore pad rits zlob sert clert jups lits

In the given number series: 12, 24, 21, 42, 39, 78 ...
Which number would come next?

The matrix \( A = \begin{pmatrix} 1 & 2 \\ 3 & 1 \end{pmatrix} \), then adj \( (A) \) is equal to

If a plane passing through the point \( (2, 2, 1) \) and is perpendicular to the planes \( 3x + 2y + 4z = 10 \) and \( 2x + y + 3z = 2 \), then the equation of the plane is

From a city population, the probability of selecting a male or smoker is \( \frac{7}{10} \), a male smoker is \( \frac{2}{5} \) and a male, if a smoker is already selected, is \( \frac{3}{5} \). Then, the probability of

At \( t = 0 \), the function \( f(t) = \sin \frac{t}{t} \) has

Using Rolle’s theorem, the equation \( a_0x^n + a_1x^{n-1} + \dots + a_n = 0 \) has at least one root between 0 and 1 if,

Which of the following inequality is true for \( x>0 \)?

The solution of \( \frac{d^2x}{dy^2} = k \), where \( k \) is a non-zero constant, vanishes when \( y = 0 \) and tends to finite limit as \( y \to \infty \), is

The equation of tangents to the hyperbola \( 3x^2 - 2y^2 = 6 \) which is perpendicular to the line \( x - 3y = 3 \) is

The limit of \( \int \frac{1}{\cos x} dx \) as \( b \to 0 \) is

The area of the region bounded by the curves \( x^2 + y^2 = 9 \) and \( x + y = 3 \) is

For any three vectors \( a, b, c \), \[ [a + b + c] = [a b c] = [a b c] \]

Let \( I = \int_{0}^{\frac{\pi}{2}} \log (\cos x) \, dx \)

If the mean and variance of a binomial distribution are 4 and 2, respectively. Then, the probability of at least 7 successes is

The shortest distance between the lines \[ \frac{x - 7}{3} = \frac{y + 4}{-16} = \frac{z - 6}{7} \] and \[ \frac{x - 10}{3} = \frac{y - 30}{8} = \frac{z - 6}{5} \] is

The normal at the point \( (a t^2, 2 a t) \) on the parabola meets the parabola again at the point \( (a t^2, 2 a t) \). The equation of the normal is

If \( a = i - j + 2k \) and \( b = 2i - j + k \), then the angle \( \theta \) between \( a \) and \( b \) is given by

The area bounded by the curves \( y = \cos x \) and \( y = \sin x \) between the ordinates \( x = 0 \) and \( x = \frac{\pi}{2} \) is

If \( a, b, c \) are three non-coplanar vectors, then \[ (a + b) \times (c + b) = (a - b) \times (c - b) = b \times c \]

If there is an error of \( m% \) in measuring the edge of a cube, then the percent error in estimating its surface area is