Explore topic-wise InterviewSolutions in Current Affairs.

A dice is rolled. Then chance of getting a number greater than or equal to 3 is .

Michael appeared in an examination and obtained the following marks out of 100.

$$\begin{array}{cc}\text{Name}& \text{Michael}\\ \text{Physics}& 87\\ \text{Chemistry}& 82\\ \text{Biology}& 82\\ \text{Mathematics}& 98\end{array}$$

Measure the central tendency of the above data.

Find the square of $\sqrt{3}+\sqrt{2}$

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 does she need to prepare?

$\text{If the dividend =}{x}^4+x^3-2x^2+x+1,\text{divisor =}x-1\text{and remainder =}2,\text{then find the quotient q(x)}.$

On dividing the quotient of ( $a{b}^{2}pq÷2bp$) , by $\frac{1}{2}$, we get,

$\text{If}x=\frac{\sqrt{5}-2}{\sqrt{5}+2}$, then $x+\frac{1}{x}$ = ______.

Which of the following quadrilaterals have diagonals of unequal length?

i) Rhombus

ii) Rectangle

iii) Square

iv) Kite

v) Parallelogram

Two cubes have their volumes in the ratio 1 :27.The ratio of their surface areas is

(a ) 1:3 (b) 1:8 (c) 1:9 (d) 1:18

14. Read the bar graph given in figure and answer the following questions:
(i) What information does it give?
(ii) In which part the expenditure on education is maximum in 1980
(iii) In which part the expenditure has gone up from 1980 to 1990?
(iv) In which part the gap between 1980 and 1990 is maximum?

The number $\overline{3}$ in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$, is

ABCD is a trapezium in which AB||DC,AB=16 cm and DC=24 cm.If E and Fa re respectively the midpoints of Ad andf BC,prove that $ar\left(ABFE\right)=\frac{9}{11}ar\left(EFCD\right)$.

Solve the equation 2y - 1 = y + 1 and represent it graphically on the coordinate plane.

If 49392 = $a^4{b}^2{c}^3$, find the values of a, b and c, where a, b and c are different positive primes.

The value of $0.\overline{2}$ in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$, is

(a) $\frac{1}{5}$

(b) $\frac{2}{9}$

(c) $\frac{2}{5}$

(d) $\frac{1}{8}$

The measure of angle ADC is .

The least rationalising factor of 5$\sqrt{x}$ is ______.

What are the signs of abscissa and ordinate of a point in the second quadrant?

In the following figure, the area of the total cloth required is $80c{m}^2$ and the area of the yellow cloth required is $60c{m}^2$. If the red colored parts are congruent to each other and the blue cloth is $\frac{1}{{10}^{th}}$ of the yellow cloth, what is the area of the red cloth required?

Question 8
If cot A = $\frac{4}{3}$, check whether $\frac{(1-ta{n}^{2}A)}{(1+ta{n}^{2}A)}=co{s}^{2}A-si{n}^{2}A$ or not.

Define the following terms:

(i) Line segment

(ii) Ray

(iii) Intersecting lines

(iv) Parallel lines

(v) Half-line

(vi)Concurrent lines

(vii) Collinear points

(viii) Plane

In the given figure, AOB is a diameter of a circle and CD||AB. If $\angle BAD={30}^{\circ }then\angle CAD=?$

(a) ${30}^{\circ }$

(b) ${60}^{\circ }$

(c) ${45}^{\circ }$

(d) ${50}^{\circ }$

If an angle of a parallelogram is four fifths of its adjacent angle, find the angles of the parallelogram.

If $x-\frac{1}{x}=\frac{1}{2}$, then write the value of $4x^2+\frac{4}{x^2}$.

Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid.

$If{x}^3-\frac{1}{x^3}=14,thenx+\frac{1}{x}$=

1. 70

A local park is 32 m long and its width is half of the length. It has two right-triangular grass lawns with the following dimensions. The local gardener wanted to renovate the park so he hired some men. The men agreed to work on the grass lawn at Rs. 1.2 per sq metre and put new footpath at Rs. 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?

The steps to draw a triangle with the base BC, a base angle $\angle$B and the difference of other two sides is given below.
1. Draw the base BC and at point B make an angle say XBC equal to the given angle.
2. Cut the line segment BD equal to AB - AC on the reflection of ray BX (i.e. BX').
3. Join DC and draw the perpendicular bisector, say PQ of DC.​​
The next step will be:

Among a cylinder (of radius r and height h=r), a cone (of radius r and height h=r) and a sphere of radius r the __ will have the maximum volume.

What are the factors of polynomial p(x) = x² + x - 6

Match the like terms.

Factorise:
$x^2-4x+3$

What will $Rs.500$ amount to in $10$ years after its deposit in a bank which pays annual interest rate $10$% compounded annually?

If x + 1/x = 2 then find the value of x⁶⁴ +1/x⁶⁴.

If the point P(3,a) lies on the line x + 2y = 3, then find the value of a.

Find the value of $11\sqrt{7}+2\sqrt{7}-\sqrt{7}$ ?

How can I find log* of any number (say log 2 ) without using calculator, log table, or without memorising any log value of 2, 3, 5 etc.

* log x = log_{​​​​10}​​x

For the given linear equation y - 3x + 1 = 0, what are the values of y for x = {3,-4,2}?

Which of the following statements is/are correct?

1. The locus of the point of intersection of two perpendicular tangents is called director circle of the given circle.

2. The director circle of a circle is concentric circle.

3. The radius of director circle of a circle is equal to the radius of original circle.C

How would you rewrite Euclid's fifth postulate so that it would be easier to understand ?

Determine the value of b if the polynomial bx^{​​​​​3}+9x²+4x-10 when divided by (x-3)leaves a remainder of -22

The polynomial x^{​​​​​​4} - 2x³ + 3x² - ax + b when divided by x +1 and x -1 give remainder 19 and 5 respectively . Find the remainder when the polynomial is divided by x -3

In the figure given below, the radius of the circle is 42cm. The angle in the sector is ${60}^{\circ }$​. What is the area of the segment APB?

If $lo{g}_{30}3=c,lo{g}_{30}5$ then the value of $lo{g}_{30}8$

Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.