List of practice Questions

The coordinates of the centroid of the triangle whose vertices are \((1, 3)\), \((-2, 7)\) and \((5, -3)\) is :
The value of \(\sec^2 45^\circ - \tan^2 45^\circ\) is :
If \(\alpha\) and \(\beta\) are the zeros of the polynomial \(2x^2 - 7x + 3\), then \(\alpha^2 + \beta^2\) is :
The area (in sq cm) of a sector whose radius is 18 cm and angle measure of \(30^\circ\) is :
The Graph of the equations \(x + 3y - 2 = 0\) and \(2x - 5y + 1 = 0\) are :
The HCF of 96 and 404 is :
The most suitable measure of central tendancy is :
The surface area of a sphere is \(616 \text{ cm}^2\), its diameter (in cm) is :
The zeros of the quadratic polynomial \(x^2 + 99x + 127\) are :
A quadratic polynomial whose zeroes are -3 and 4 is :

In the given figure, O is the centre of the circle. \(\angle \text{CBE} = 25^\circ\) and \(\angle \text{DEA} = 60^\circ\). Find the measurement of \(\angle \text{ADB} :\)

In \(\triangle \text{ABC}\) and \(\triangle \text{DEF}\), \(\frac{\text{AB}}{\text{DE}} = \frac{\text{AC}}{\text{DF}} = \frac{\text{BC}}{\text{EF}} = \frac{3}{4}\). Then Area (\(\triangle \text{ABC}\)) : Area (\(\triangle \text{DEF}\)) is equal to :
The decimal expansion of \(\frac{147}{120}\) will terminate after how many places of the decimal ?

The perimeter of the given figure with its top as a semi-circle is :

The quadrilateral formed by joining the mid-points of the adjacent sides of a parallelogram is :
The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is :
A Bag contains 5 white balls and 7 red balls. A ball is drawn at random from the bag. The probability that it is either a white ball or red ball is :
If \(\bar{x}_1, \bar{x}_2, \bar{x}_3, \dots, \bar{x}_n\) are the means of n groups with \(n_1, n_2, n_3, \dots, n_n\) numbers of observations respectively. Then the mean \(\bar{x}\) of all the groups taken together is given by :
If the radii of two cylinders are in the ratio \(2:3\) and their height are in the ratio \(5:3\). The ratio of their volumes is :

In the adjoining figure, area of parallelogram ABCD is :

The mean of 5 observations \(x, x+2, x+4, x+6\) and \(x+8\), is 11, then the value of x is :
The number of solutions of the pair of linear equations \(x + 2y - 8 = 0\) and \(2x + 4y = 16\) is :
The Probability of getting a number greater than 2 with a throw of fair dice is :

ABCD is a quadrilateral in which AD = BC and \(\angle \text{DAB} = \angle \text{CBA}\). If \(\angle \text{CAB} = 30^\circ\), then the measure of \(\angle \text{AOB}\) is :

Diagonal of a Cube is \(\sqrt{6}\) cm., then its lateral surface area is :