Explore topic-wise InterviewSolutions in Current Affairs.

In a group of 50 people who like either coffee or tea, 15 like coffee but not tea and 32 like coffee. How many like tea alone?

Are the areas of unshaded regions in the two figures equal?

For x = 3, y = 2, u = -9, v = 13 the point (x+y, u+v) lies in which quadrant?

If $(3x-4)(5x+7)=15x^2-ax-28$, then find the value of a.

What is the value obtained when we expand $({1+\sqrt{3})}^2$?

Find the value of ${\log }_{e}144$.

A quadrilateral in which only one pair of opposite sides is parallel is known as a___ .

In a clock, the hour hand is at 6, the minute hand at 12 and the second hand somewhere between 8 and 9. If the angle made by second hand and hour hand is 73${}^{\circ }$, what is the angle(in degrees) between the minute hand and second hand?

If $A=\left[\begin{array}{cc}i& 0\\ 0& i\end{array}\right]$, then $A^{100}=$

If the interest on loans amounted to Rs. 2.45 crores then the total amount of expenditure on advertisement, taxes and research and development is?

A badminton player won 6 games and lost 4. What fraction of the games did he win?

If 2$(a^2+b^2)$ =${(a+b)}^2$, then ______________________ .

$P\left(x\right)=x^2+x^{\sqrt{a^2-7}}+x+1$.
What is the value of "a" if the degree of P(x) is 3?

(a) Find ten rational number between -$\frac{2}{5}$ and $\frac{1}{2}$.

(b) Insert 5 rational numbers and 2 irrational numbers between $\sqrt{2}$​ and $\sqrt{3}$​​​​.

[4 MARKS]

Among the given options, is a non-terminating and repeating decimal.

A circus tent is cylindrical to a height of 3 meters and conical above it.If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.

Find the hypotenuse of a right angled triangle whose perpendicular sides are $\sqrt{6}$ cm and $\sqrt{3}$ cm.

Two natural numbers are in the ratio 3:4. The sum of their squares is 625. Find the numbers.

$\text{The lengths of three sides of a triangle are 20 cm, 16 cm and 12 cm. The area of the triangle is}\left(a\right)96c{m}^2\left(b\right)120c{m}^2\left(c\right)144c{m}^2\left(d\right)160c{m}^2$

Factorise
$x^5+x^2$

Using factor theorem, factorize the following polynomials

$x^3+6x^2$ + 11x + 6

In the division of a cubic polynomial p(x) by a linear polynomial, the remainder is p(-2).So, the divisor must be

A point is at a distance of 3 units from the x-axis and 5 units from the y-axis. Which of the following are the coordinates of the point?

ABCD is a parallelogram in which E and F are the midpoints of the sides AB and CD respectively. BD is

What is the shape of the base of a right circular cone?

There is a hollow jar of length 28 cm with lid removed from the top and bottom. The radius of this cylindrical hollow jar is 8 cm. If we have to cover the outer surface with paper, then the area of paper that is required will be equal to:

The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane is called ______.

In the given figure, ABCD is a square ,then the value of 'x' is

Meena needs to serve mango juice to her guests in cylindrical tumblers of radius 7 cm up to a height of 10 cm. If she wants to serve 25 guests, how much juice should she prepare?

The diameter of a copper sphere is 18 cm.
The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 108 m, Find its diameter.

Factorise each of the following:
$1){8a}^3+b^3+12a^{2}b+6a{b}^2$
$2)64m^3-343n^3$ [4 MARKS]

The percentages of marks obtained by a student in six unit tests are given below:

If a test is selected at random then, the probability that the student gets more than 60% marks in the test is

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $\angle$ABC= ${110}^{\circ }$, $\angle$DAC = ${15}^{\circ }$, $\angle$CAB= ${25}^{\circ }$, AB = 5 cm, CD = 7 cm. Can we construct this parallelogram?

Find the quantity of paint required to paint all the faces of a room of dimensions 10 m $\times$ 8 m $\times$ 10 m, assuming paint to have negligible thickness.

In the given figure, if OA = BO and OC = OD, then, $△$AOD $\cong$ $△$BOC by __ congruence rule.

In a ||gm ABCD,if P and Q are midpoints if AB and CD respectively and ar(||gm ABCD)=$16c{m}^2$ then ar(||gm~APQD)=?

(a) $8c{m}^2$

(b) $12c{m}^2$

(c) $6c{m}^2$

(d) $9c{m}^2$

The radis of two cylinders are in the ratio 3:2 and their heights are in the ratio 7:4. Calculate the ratios of their volumes.

If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.

Candidates of 5 schools appear for a Maths test. The data is given as follows :

$\begin{array}{ccc}\text{Schools}& \text{No.of Candidates}& \text{Score}\\ A& 60& 75\\ B& 48& 80\\ C& -& 55\\ D& 40& 50\\ E& 50& 60\end{array}$

If the average score of the candidates is 64.8, find the number of candidates who appeared from School C.

Question 9 (iii)
Classify 0.3796 as rational or irrational.

Out of 40 laptops that were given for service at a computer repair shop, 5 had an issue with the screen, 8 had an issue with the keyboard, 24 had software issues while the rest had multiple issues. What is the probability that a laptop given for service at the shop will have multiple issues?

Water in a rectangular reservoir having base 80 m by 60 m is 6.5 m deep. In what time can the water be emptied by a pipe of which the cross-section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km/hr.

A perpendicular bisector of a given line segment

'Lines are parallel if they do not intersect' - is stated in the form of: