Explore topic-wise InterviewSolutions in Current Affairs.

If A and B are two square matrices of order 3 $\times$ 3 which satisfy AB = A and BA = B then $(A+B{)}^7$ is

Expanded form of 0.012 is _____

The difference between two numbers is 2490. If $x$ and $y$ are the numbers with $x>y,$ then the equation representing this is .

Find the equation of the angle bisectors of the lines 3x-4y+8 = 0 and 8x+6y-9 = 0

Question 6
Find the radius of a sphere whose surface area is $154c{m}^2$.

$[Assume\pi =\frac{22}{7}]$

What are the two factors of quadratic polynomial x² – 16x + 64?

If 60^o angle is bisected twice then what will be measure of each angle that is constructed?

If the sum of the areas of two circles with radii R₁ and R₂ is equal to the area of a circle of radius R, then

In the figure below, if $AB\parallel PQ$, then, $\angle ACX$ ___ $\angle PRC$.

Area of the rhombus ABCD is

The exterior angle of a regular polygon is 1/3 rd of its interior angle. The number of sides of the polygon is

Factorise:

$a^2+2ab+b^2-c^2$

An image of parking space is:

What can you say about the lines?

If we increase the length of a cuboid to twice its initial length, what is the volume of the new cuboid?

A contractor plans to install two slides for the children to play in a park for elder children. She wants to have a steep slide at a height of 6 m, and inclined at an angle of ${60}^{\circ }$ to the ground. What should be the length of the slide (in m)?

What is the volume of water that can be filled in a hemispherical bowl of radius 10 cm? [1 MARK]

Assume that you are in a boat and your boat goes along with the water stream with a speed of 10 km/hr. And the speed of the stream is 5 km/hr. Then what is the effective speed of your boat in this case?

The anlges of a triangle are in ratio 3 : 5 : 7. The triangle is

(a) Acute angled

(b) Obtuse angled

(c) Right angled

(d) An isosceles triangle

The median of the following data :

0,2,2,2,-3,5,-1,5,5,-3,6,6,5,6 is

Points A and B are 90 km apart on a highway. A car starts from A and another from B at the same time. If they travel in the same direction they meet in 9 hours and if they travel in opposite directions they meet in $\frac{9}{7}$ hours. Speed of car starting from point A is:

Factorize $2\sqrt{2}{a}^3+3\sqrt{3}{b}^3+c^3-3\sqrt{6}abc$

Question 109

Fill in the blanks to make the statements true.
The number five crore twenty-three lakh seventy-eight thousand four hundred one can be written, using commas, in the Indian System of Numeration as ...............

Let $F\left(\alpha \right)=\left[\begin{array}{ccc}cos\alpha & -sin\alpha & 0\\ sin\alpha & cos\alpha & 0\\ 0& 0& 1\end{array}\right]$, where $\alpha ϵR.$
Then $\left[F\right(\alpha ){]}^{-1}$ is equal to

Question 12

$5\frac{1}{6}÷\frac{9}{2}$ is equal to

Which of the following is the inverse pair of 1 under the operations multiplication and subtraction?

In the given figure AB and CD are two lines intersecting at O. If $\angle AOC$ and $\angle BOC$ are in ratio 2 : 3, find all angles.

In the given figure, AB || CD.If $\angle BAO={60}^{\circ }$ and $\angle OCD={110}^{\circ }$ then $\angle AOC=?$

$\left(a\right){70}^{\circ }$

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

$\left(c\right){50}^{\circ }$

$\left(d\right){40}^{\circ }$

In a cylinder, if radius is doubled and height is halved, curved surface area will be

(a) halved (b) doubled

(c) same (d) foru times

If 5^2x-1 - (25)^x-1 = 2500, then the value of x =?

Divide $f\left(x\right)$ by $g\left(x\right)$ and find the quotient.
$f\left(x\right)=x^3-125,g\left(x\right)=x^2+5x+25$

The rationalisation factor of $2+\sqrt{3}$ is

Given a rectangle $ABCD$ and points $P,Q,R$ and $S$ are mid-points of sides $AB,BC,CD$ and $DA$ respectively. If length of a diagonal of the rectangle is $8cm,$ then the quadrilateral $PQRS$ is a _______.

In the below quadrilateral ABCD, if AD = BC and $\angle DAB$ = $\angle CBA$, then what is the relation between $\angle ABD$ and $\angle BAC$ ?

Find the value of 'p' and 'q' if x-1 and x-2 are factors of 2x^3 + px^2+ qx -14

Factorise : $2x^3-3x^2-17x+30$

The dimensions of a box are in the ratio of 5: 2: 4 and its total surface area is 304 $m^2$. Find the volume of box.

Find $x$ if ${\log }_2(x-5)>3$

FctorissF:x(a-5)+y(5-a)

Question 9
Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

What will be the area of the sector of a circle whose radius is 14 cm and angle of sector is 45^o

The semi-perimeter of an isosceles triangle is 12 cm. The length of its unequal side is 10 cm.

What is the length of each equal side of the triangle?

A question was asked in a class
"The points A(5, 5), B(4, 4) and C(3, 3) form which triangle?".
Unfortunately, no student could get it right.
What triangle would the three points form?

Factorise: 7√2x² – 10x - 4 √2 .