Explore topic-wise InterviewSolutions in Current Affairs.

The distance of the point (-5, -5) from the origin is ___.

In a cricket match, a batsman hits boundary 10 times out of 50 balls. what is the probability that he doesn't hit boundary?

Median of a given frequency distribution is found with the help of a

The polynomial $x^4-{2x}^3+{3x}^2-ax+b$ when divided by $x+1$ and $x-1$ gives remainders 19 and 5 respectively. Find the remainder when the polynomial is divided by $x-3$. [3 MARKS]

If $x=\frac{\sqrt{5}-2}{\sqrt{5}+2}$ then $x^2$ = ___

In $△ABC$ , D,E and F are mid points of sides AB , BC and AC respectively.How many pairs of similar triangles are there in the figure formed after joining D,E,F ?

Which of the following is an example of a geometrical line?

If $\frac{3x-4y}{2x-3y}=\frac{5x-6y}{4x-5y}$, find x : y.

The point $(3,15)$ passes through the line represented by the equation .

What is the Length of the side AD in the given figure?

$\frac{3}{5}\times \frac{4}{5}\times \frac{1}{2}$ is

In triangle ABC, if ab is the greatest side then prove that angleC>60.

Which of the following statement is incorrect?

What should be subtracted to x² + 2x + 2 to make it a perfect square?

If we know that one side of the rectangle is 8 cm, then can we construct a unique rectangle?

If ‘p’ and ‘q’ are the zeroes of the polynomial P(x) = $x^2$ + ax + b =0, then P(x) can be written as:

If the area of a triangle is 48cm² and its base is 8cm. Then find the height of the triangle.

The volume of a right circular cone of radius 30 cm and slant height 50 cm is

If the area of an equilateral triangle is $36\sqrt{3}c{m}^2,$ find its perimeter.

$9^3+(-3{)}^3-6^3=?$

(a) 432 (b) 270 (c) 486 (d) 540

The volume of a right circular cone is 9856 $c{m}^3$.If the diameter of the base is 28 cm,find:

(i) height of the cone

(ii) slant height of the cone

(iii) curved surface area of the cone.

Question 117

Fill in the blank to make the statement true.
_____ is the successor of the largest 3 digit number

1. 2

The diameter of the moon is approximately one fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?

Find the area of a triangle whose sides area 3 cm, 4 cm and 5cm respectively.

If a and b are distinct positive primes such that $\sqrt[3]{3a^6{b}^{-4}}=a^x{b}^{2y}$,find x and y.

Question 100

Rana has 6 $\frac{1}{4}$ kg of cotton wool for making pillows. If one pillow takes 1$\frac{1}{4}$ kg, how many pillows can she make?

ABCD is a parallelogram whose area is 54 $c{m}^2$.The area of triangle AEB is __ $c{m}^2$.

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In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division.

f(x) = $2x^4-6x^3+2x^2-x+2$, g(x) = x + 2

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x)

f(x) = $x^3-6x^2$ + 11x - 6, g(x) = $x^2$ -3x + 2

Question 2
For which value(s) of k will the pair of equations
kx + 3y = k – 3,
12x + ky = k
has no solution?

1. 61

What is the angle that you get if you bisect an angle of ${45}^{\circ }$ ?

The sides BC, CA and AB of $\Delta ABC$ are produced in order to form exterior angles $\angle ACD$ , $\angle EAB$, and $\angle CBF$. If $x+y+z={180}^{\circ }$ then $\angle ACD+\angle CBF+\angle EAB$ is

Find and correct the errors (if any) in the following expressions:

$i.\left)\right(5x-2{)}^2=25x^2+4-20x$

$ii.\left)\right(3x+2{)}^2=3x^2+6x+4$ [2 MARKS]

A three-wheeler scooter charges 15rupees for first km and 8rupees for every subsequent km. For a distance of x km, an amount of y rupees is paid. Write the linear equation representing the above information

The two diagonals are equal in a