Explore topic-wise InterviewSolutions in .

Match the APs to their $n^{\text{th}}$ terms.

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

In the given figure, three sectors of a circle of radius 7 cm, making angles of ${60}^{\circ },{80}^{\circ }and{40}^{\circ }$ at the centre are shaded. Find the area of the shaded region.

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

Find the value of ‘p’ for which the quadratic equations have equal roots.

(1)

(2)

(3)

(4)

(5)

(6)

The given table shows the frequency according to the class intervals.

$\begin{array}{cc}\text{Class Interval}& \text{Frequency}\\ 0-10& 10\\ 10-20& 5\\ 20-30& 8\\ 30-40& 12\\ 40-50& 16\end{array}$

Find the Median value using Step jump method.

Question 7
A cylinderical roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of $5500m^2$. How many revolutions did it make?

What is the reciprocal of sin x?

A point $C$ divides a line segment $AB$ in the ratio $5:6$. The ratio of lengths $AB:BC$ is ______.

If the $2^{nd}$ term of a G.P. is $1$ and $5^{th}$ term is $\frac{1}{125}$, then the $9^{th}$ term will be ____.

Find the value of "P” if P = k⁴ + k² + k , given that the given system of linear equation is inconsistent

3x + y = 1

Find the Median for the given data by drawing a 'less than ogive' :

$\begin{array}{cccccc}\text{Class Interval}& 0-10& 10-20& 20-30& 30-40& 40-50\\ \text{Frequency}& 5& 10& 14& 16& 8\end{array}$

The height of a cone is 50 cm. A small cone is cut off at the top by a plane parallel to its base. If the volume of the smaller conical portion is $\frac{8}{125}$ times the volume of the given cone, then the ratio of the height of the frustum so formed to the height of original cone is

In a triangle ABC, D is the midpoint of AB, E is the midpoint of AC and DE is parallel to BC, then DE : BC = ________.

A hemisphere whose diameter is 4cm, made of wood . If the a cone cut out of this hemisphere whose base is also 4cm . Find the volume of wood in hemisphere .

1. 125

1. 2

In a hospital, used water is collected in a cylindrical tank of diameter $2m$ and height $5m.$ After recycling, this water is used to irrigate a park of the hospital whose length is $25m$ and breadth is $20m.$ If the tank is filled completely then what will be the height of standing water used for irrigating the park? Write your views on the recycling of water.

A ladder leaning against a wall makes an angle of 60⁰ with the wall. If its foot is 6.2 m away from the wall, its length is

In a flag race, a pole is placed at the starting point, which is 10m from the first flag and the other flags are placed 6m apart in a straight line. There are 10 flags in total. Each competitor starts from the pole, picks up the nearest flag, comes back to affix the flag onto the pole, picks up the next flag and continues the same way until all the flags are on the pole. The total distance covered is

Solve the following systems of equations:
$\frac{5}{x-1}+\frac{1}{y-2}=2$

$\frac{6}{x-1}-\frac{3}{y-2}=1$

If x is a natural number, twice of which is more than 14, then .

$80$ bulbs are selected at random from a lot and their lifetime in hours is recorded as under.

$\begin{array}{cccccc}\text{Lifetime (in hours)}& 300& 500& 700& 900& 1100\\ \text{Frequency}& 10& 12& 23& 25& 10\end{array}$

One bulb is selected at random from the lot. What is the probability that the selected bulb has a life more than $500$ hours?

a) $\frac{27}{40}$

b) $\frac{29}{40}$

c) $\frac{51}{6}$

d) $1$