Explore topic-wise InterviewSolutions in Current Affairs.

Neeta and Meeta are friends. They were both born in 2003. What is the probability that they have the

(i) Same Birthday (ii) Different Birthdays

What is the sum of the first 50 natural numbers?

If A (1,2), B (4, y), C (x,6) and D (3,5) are vertices of a parallelogram ABCD, find the values of x and y. [4 MARKS]

What is the formula for the lateral surface area of the given frustum:

Where,
$R_1$ = radius of the base
$L$ = length of lateral side of the bigger cone of which the frustum is a part
$R_2$ = radius of the top surface
$l$ = length of lateral height of cone - lateral height the frustum (s)

Equation of a line with slope 5 and y-intercept -8 is ______

Which of the following equations are quadratic equations?

In a right angle triangle $\Delta$ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratio of the areas of $\Delta$ABD and $\Delta$ BCD?

Question 3

A ribbon of length $5\frac{1}{4}$ m is cut into small pieces each of length $\frac{3}{4}$ m. Number of pieces will be

a) 5
b) 6
c) 7
d) 8

A circle of radius r has a centre O. What is first step to construct a tangent from a generic point P which is at a distance r from O?

What is the remainder when $4x^4-3x^3=2x^2-x$ is divided by x + 1?

What is the condition for the equation $x^2+bx-c=0$ to have real roots?

Find the midpoint of the line segment joining the points A(12, 8) and B(4, 6).

Find solution of the given equation

$\frac{x+5}{1}=\frac{2x+10}{x-6}$

The first and the last terms of an AP are 5 and 45 respectively. If the sum of all its terms is 400, Find its common difference.

Two chords AB and CD of a circle intersect each other at P outside the circle. If AB = 5 cm, BP = 3 cm and PD = 2cm, find CD

The area of the quadrant of a circle whose circumference is 22 cm, will be

Largest number that divides 679 and 599 leaving remainder 4 is

If the length of the rectangle is one more than the twice its width, and the area of the rectangle is 300 square meter. What is the measure of the width of the rectangle?

Let X = {1,2,3,4,5} and Y = {1,3,5,7,9}. Which of the following is/are relations from X to Y?

1. 4.8

Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.

$\left(i\right)\frac{23}{(2^3\times 5^2)}\left(ii\right)\frac{24}{125}\left(iii\right)\frac{171}{800}\left(iv\right)\frac{15}{1600}\left(v\right)\frac{17}{320}\left(vi\right)\frac{19}{3125}$

An insect moves along a circular path of radius 10 cm with a constant speed. If it takes 1 minute to move from a point on the path to the diametrically opposite point, then, the following quantities:
1. Distance covered
2. Speed
3. Displacement
4. Average velocity
will be respectively:

If the zeros of the polynomial $f\left(x\right)=x^3-12x^2+39x+k$ are in A.P., find the value of k.

$f\left(x\right)$ is a function defined on the entire number line and is even and odd at the same time. Find the value of $f\left(10\right)\times f\left(5\right)$.

The roots of the quadratic equation $x^2$+5x-14=0 are

Zeroes of $x^2+78x+142$ are

If $p\cot \theta =\sqrt{q^2-p^2}$, then the value of $\sin \theta$ is

If sinA = $\frac{1}{2}$ , verify that 2 sinA cosA = $\frac{2tanA}{(1+tan2A)}$

Find the value of p if 2x-1 is the factor of 2x³+px²+11x+p+3

Draw an ogive for each of the following distributions :

(i) $\begin{array}{cccccc}Marksobtained& lessthan10& lessthan20& lessthan30& lessthan40& lessthan50\\ Frequency& 8& 25& 38& 50& 67\end{array}$

(ii) $\begin{array}{cccccccc}\text{Age in years (less than)}& 10& 20& 30& 40& 50& 60& 70\\ \text{Frequency}& 0& 17& 32& 37& 53& 58& 65\end{array}$

The price of a T.V set inclusive of sales tax is ₹ 13,530. If the rate of sales tax is $10\%$, find its basic (marked) price.

If one zero of the quadratic polynomial $k{x}^2+3x+k$ is 2 then find the value of k.

What do you understand by the quantity called ‘area’?

(i) If the point P(2, 2) is equidistant from the points (a+b, b-a) and (a-b, a+b), prove that bx = ay.

(ii) If thedistances of P(x, y) from A(5, 1) and B (-1, 5) are equal then prove that 3x = 2y.

If the $m^{th}$ term of an A.P. is $\frac{1}{n}$ and the $n^{th}$ term is $\frac{1}{m}$ , show that the sum of mn terms is ($\frac{1}{2}$)(mn + 1).

A container made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of the milk which can completely fill the container at the rate of Rs. 15 per litre and the cost of the metal sheet used, if it costs Rs. 5 per 100 $c{m}^2$. (Take $\pi$ = 3·14)

The dimensions of a cuboid are in the ratio of 1: 2: 3 and its total surface area is 88 $m^2$. Find the dimensions and volume of the cuboid.

If a and b are two prime numbers then find HCF(a, b).

Two parallel lines touch a circle at points A and B respectively. The area of the circle is $25\pi {cm}^2$ then AB is:

Question 192

Using each of the digits 1,2,3 and 4 only once, determine the smallest 4-digit number divisible by 4.

A milk container is made of metal sheet in the shape of frustum of a cone whose volume is $10459\frac{3}{7}c{m}^3$ The radii of tis lower and upper circular ends are 8 cm and 20 cm respectively. Find the cost of metal sheet used in making the container at the rate of Rs. 1.40 per $c{m}^2$. (Use $\pi$ = 22.7)

Prove the following trignometric identities:

$co{s}^{2}A+\frac{1}{1+co{t}^{2}A}=1$

The number $3^{13}-3^{10}$ is divisible by: