List of top Mathematics Questions asked in Common Entrance Test Delhi Polytechnic

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 :
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 Probability of getting a number greater than 2 with a throw of fair dice 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 :
Diagonal of a Cube is \(\sqrt{6}\) cm., then its lateral surface area is :

The side BC of \(\triangle \text{ABC}\) is produced to point D. The bisectors of \(\angle \text{ABC}\) and \(\angle \text{ACD}\) meet at a point E. If \(\angle \text{BAC} = 68^\circ\), then the measure of \(\angle \text{BEC}\) 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 :

If the point P lies in between M \& N and C is the mid point of MP then which of the following option is correct :
Which of the following statement is true for a parallelogram :
If \(49x^2 - b = (7x + \frac{1}{2})(7x - \frac{1}{2})\), then the value of b is :
The value of \(\frac{\sqrt{32} + \sqrt{48}}{\sqrt{8} + \sqrt{12}}\) is equal to :
If \(\bar{x}\) represent the mean of n observations \(x_1, x_2, x_3, \dots, x_n\), then the value of \(\sum_{i=1}^{n} (x_i - \bar{x})\) is :
Which of the following equations represents a line passing through the origin :
The total surface area of a cone, whose radius is \(\frac{r}{2}\) and slant height is \(2l\), will be :
Each of equal sides of an Isosceles triangle is 2 cm greater than its height. If the base of the triangle is 12 cm, then its area is :
Co-ordinates of the point at which the line \(2x - 7y = 14\) intersects the y-axis are :
The construction of a triangle \(\triangle \text{ABC}\) given that \(\text{BC} = 6 \text{ cm}\), \(\angle \text{B} = 45^\circ\) is not possible, when the difference of AB and AC is equal to :
A coin is tossed A times and it showed tail B times. The probability of getting one head is :

In the adjoining figure, O is the centre of the circle. If \(\angle \text{AOB} = 90^\circ\) and \(\angle \text{ABC} = 30^\circ\), then \(\angle \text{CAO}\) is equal to :