Mathematics Exam Structure

The system of equations $x + 5 = 0$ and $2x - 1 = 0$ has:

In a right triangle ABC, with the right angle at A, if $sin(B) = \frac{1}{4}$, then what is the value of $sec(B)$?

The number $\sqrt{0.4}$ is:

Which of the following cannot be the units digit of $8^n$, where n is a natural number?

Which of the following quadratic equations has real and distinct roots?

If the zeroes of the polynomial $ax^2 + bx + \frac{2a}{b}$ are reciprocal of each other, then the value of b is:

The distance of the point (a, -b) from the x-axis is:

In the adjoining figure, $PQ \parallel XY \parallel BC$, $AP = 2$ cm, $PX = 1.5$ cm and $BX = 4$ cm. If $QY = 0.75$ cm, then $AQ + CY = $

Given that $\triangle ABC \sim \triangle PQR$, $\angle A = 30^\circ$ and $\angle Q = 90^\circ$. The value of $(\angle R + \angle B)$ is:

Two coins are tossed simultaneously. What is the probability of getting at least one head?

In the adjoining figure, PA and PB are tangents to a circle with center O such that $\angle P = 90^\circ$. If $AB = 3\sqrt{2}$ cm, then the diameter of the circle is:

If $x = cos(30^\circ) - sin(30^\circ)$ and $y = tan(60^\circ) - cot(60^\circ)$, then:

For a circle with center O and radius 5 cm, which of the following statements is true? P: Distance between every pair of parallel tangents is 5 cm. Q: Distance between every pair of parallel tangents is 10 cm. R: Distance between every pair of parallel tangents must be between 5 cm and 10 cm. S: There does not exist a point outside the circle from where length of tangent is 5 cm.

In the adjoining figure, TS is a tangent to a circle with center O. The value of $2x^\circ$ is:

A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then the angle of depression of the snake from the eye of the peacock is: