Explore topic-wise InterviewSolutions in Current Affairs.

A survey was conducted on 20 families in a locality by a group of students .What will be the mode of the data?

$$\begin{array}{cccccc}Ageoffamilymember& 0-20& 20-40& 40-60& 60-80& 80-100\\ Numberofstudents& 7& 8& 2& 2& 1\end{array}$$

Convert $0.41\overline{6}$ into $\frac{p}{q}$ form.

If $24,x,26$ form a Pythagorean triplet with $26$ being the largest number, find $x$ ?

NPCI stands for

If HCF of $3,6$ is '$a$', HCF of $7,17$ is '$b$' and HCF of $12,16$ is '$c$' then arrange $a,b,c$ in ascending order.

Find the area of the triangle formed by joining the mid points of the sides of the triangle ABC. Here the coordinates of the points are A (-4, 3), B (2, 3) and C (4, 5).

Let $E_1$ and $E_2$ be two independent events such that $P\left(E_1\right)=P_1$ and $P\left(E_2\right)=P_2$. Describe in words of the events whose probabilities are

(i) $P_1{P}_2$

(ii) $(1-P_1)P_2$

(iii) $1-(1-P_1)(1-P_2)$

(iv) $P_1+P_2-2P_1{P}_2$

Abigail buys a new salt shaker in the shape of a cylinder topped by a hemisphere. The cylinder has a diameter of 6 cm and a height of 10 cm. She pours the salt into the salt shaker, so that it takes up half the total volume of the shaker. Find the depth of the salt.

In the given right angle triangle ABC, if $\alpha ={30}^{\circ }$ and AC = 10 cm then find the value of the side BC in cm.

$\text{XY is drawn parallel to the base BC of a}\Delta ABC\text{cutting AB at X and AC at Y. If}\text{AB = 4 cm, BX and YC = 2 cm,}$
$\text{then find the measure of AY .}$

Which of the following is equal to the length of the curve in red in the given circle?

If LM $\parallel$ AB, AL=x-3, AC=2x, BM=x-2, BC=2x+3. What is value of AC?

__

One card is drawn at random from a well - shuffled deck of 52 cards. What is th eprobability of getting a black face card?
(a) $\frac{1}{26}$ (b) $\frac{3}{26}$ (c) $\frac{3}{13}$ (d) $\frac{4}{13}$

What is the number of principle diagonal elements in a square matrix of order n $\times$ n.

If the points A(x,2), B(-3, -4) and C(7, -5) are collinear then the value of x is

(a) -63 (b) 63 (c) 60 (d)-60

A racetrack is in the form of a ring whose inner circumference is $352m$ and outer circumference is $396m.$ Find the width and the area of the track.

If the points A(1, 2), O(0, 0) and C(a, b) are collinear then

(a) a = b (b) a = 2b (c) 2a = b (d) a+b = 0

If the area of a circle is numerically equal to twice its circumference, then what is the diameter of the circle ?

Five year hence, a man's age will be three times the age of his son. Five years ago, the man was seven times as old as his son. Find their present ages.

The number ot telephone calls received at an exchange per interval for 250 successive one-minute intervals are given in the following frequency table:
No. of calls (x) : 0 1 2 3 4 5 6
No. of intervals (f) : 15 24 19 46 54 43 39
Compute the mean number of calls per interval.

A factory is designed as shown in the figure. If there are 150 people working in the factory in which each of them occupy a space of 0.5 $m^3$ and are in constant motion. Find the maximum volume available to place machinery in the factory. (Take $\pi =\frac{22}{7}$)

If $a_1,a_2,a_3.....a_n$ are in A.P. Where $a_i>0$ for all i, then the value of
$\frac{1}{\sqrt{a_1}+\sqrt{a_2}}+\frac{1}{\sqrt{a_2}+\sqrt{a_3}}+.........+\frac{1}{\sqrt{a_{n-1}}+\sqrt{a_n}}=$

Sum of three consecutive terms of an AP is 24 and product is 312. Find the middle term and common diffeerence of the AP.

Find the mean for the following data

$$\begin{array}{cccccc}Class& 0-10& 10-20& 20-30& 30-40& 40-50\\ Frequency& 10& 9& 8& 17& 6\end{array}$$

Each of the equal sides of an isosceles triangles measures 2 cm more than its height, and the base of the triangle measures 12 cm. Find the area of the triangle.

A school has 3 sections each from class 1 to 12. Students of this school plant tree in the school campus to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be the same as the class in which they are studying. How many plants were planted by the students?

In the given figure, the shape of the top of a table is that of a sector of a circle with centre O and $\angle AOB={90}^{\circ }$. If AO = OB = 42 cm then find the perimeter of the top of the table.

Find the smallest number which when increased by 17 is exactly divisible by both 468 and 520.

If $\Delta ABC\sim \Delta MNP,AD\perp BC$ and $MQ\perp NP$ such that $\frac{AD}{MQ}=\frac{3}{6}$, then we can say that

The solution for p(x) = x+2 is the value of x so that p(x) becomes _____

If an unbiased coin is tossed and two fair dice are rolled at the same time, then what is the probability that head is the outcome and sum of the numbers on the dice is 9?

If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what is the sum of first 20 terms?

A point O in the interior of a rectangle ABCD is joined with each of the vertices A, B, C and D. Prove that: ${OA}^2+{OC}^2={OB}^2+{OD}^2$. [4 MARKS]

Select the correct graph for the equation y = (x-m)(x-n), if m > 0 and n < 0.

The radii of the internal and external surfaces of a metallic spherical shell are $3\text{cm}$ and $5\text{cm}$ respectively. It is melted and recast into a solid right circular cylinder of height $10.67\text{cm}$. Then, the diameter of the base of the cylinder is approximately:

PQ is a tangent to a circle with centre O at the point P. If $△$OPQ is an isosceles triangle such that OP = PQ, then find the measure of $\angle$OQP.

The line, represented by the equation 3x - 8y = 2, passes through the point (k,5), the value of k is:

Question 82

State whether the statement is True or False.

$(-5)\times \left(33\right)=5\times (-33)$

The number of Goals scored by Messi in Laliga for the past 7 years are as follows. 23, 34, 31, 50, 46, 28, 43. What is the Range of his Goals for past 7 seasons?

Record the following transactions during the week ending December 30,2010 with a weekly imperst Rs. 500.

$\begin{array}{ccc}& & \text{Rs.}\\ 24& \text{Stationery}& 100\\ 25& \text{Bus fare}& 12\\ 25& \text{Cartage}& 40\\ 26& \text{Taxi fare}& 80\\ 27& \text{Wages to casual labour}& 90\\ 29& \text{Postage}& 80\end{array}$