Explore topic-wise InterviewSolutions in Current Affairs.

In a survey of 840 persons, 450 persons believe in morning walk, 300 persons believe in yoga and 200 persons believe both morning walk and yoga. Find the number of persons, who neither believe in morning walk nor yoga.

If the legs of an isosceles right triangle are 5 cm long, approximate the length of the hypotenuse to the nearest whole number.

In the given figure, AB and AC are tangents to the circle centre O such that $\angle$ BAC = ${40}^o$. Then,$\angle$ BOC is equal to

(a) ${80}^o$ (b) ${100}^o$ (c) ${120}^o$ (d) ${140}^o$

The solution set of the inequality
$\sqrt{6-x}(5^{x^2-7.2x+3.9}-25\sqrt{2})\ge 0$ can be given by $(-a,\frac{b}{c})$, then c - b = ___

Find the value of x and y for the pair of equations 2x + 5y = 15 and 2x - 5y = 5

The area of a parallelogram is 392 $m^2$, If its altitude is twice the corresponding base, determine the base and the altitude.

A vessel in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is $14cm$ and the total height of the vessel is $13cm$. Find the inner surface area of the vessel.

Find the ratio in which the point P (-1, y) lying on the line segment joining A (-3, 10) and B (6,-8) divides it. Also , find the value of y.

Find the area of the quadrilateral ABCD in which AD = 24 cm, $\angle$ BAD = ${90}^o$ and $\Delta$ BCD is an equilateral triangle having each side equal to 26 cm. Also, find the perimeter of the quadrilateral. [Given, $\sqrt{3}$ = 1.73.]

If in an A.P., $S_n=n^{2}q$ and $S_m=m^q$, where $S_r$ denotes the sum of the r terms of the A.P., then $S_q$ equals

In Fig. $8.63$, $AB$ is a chord of length $16cm$ of a circle of radius $10cm$. The tangents at $A$ and $B$ intersect at a point $P$. Find the length of $PA$.

The probability of drawing a blue ball from a bag that contains 3 white balls, 8 blue balls and 5 red balls is

Show that the points A(3, 0), B(6, 4) and C(-1, 3) are the vertices of an isosceles right triangle.

In the given figure, O is the centre of the circle. Which of the following option is correct?

Question 59

An office opens at 9 AM and closes at 5:30 PM with a lunch break of 30 mim. What is the ratio of lunch break to the total period in the office?

Which of the following can be expressed as the sum of square of two positive integers, as well as three positive integers

A-75

B-192

C-250

D-100

If M is a set of non-positive integers from -100 to 0 and N is a set of perfect squares between 0 to 90, find the cardinality of M $\cup$ N.

$Amodelofbuildingismadetoascaleof1:50.\left(i\right)Theheightofthemodelis1m;calculatetheheightofthebuilding.\left(ii\right)Theareaofthelandusedforthebuildingis1600m^2;findtheareaofthebaseofthemodel.\left(iii\right)Thevolumeofthemodelis20liters,calculatethevolumeofthebuilding.$

Question 116

Write a pair of integers, whose product is -36 and whose difference is 15.

If three points (h, 0), (a, b) and (0, k) lies on a line, show that $\frac{a}{h}+\frac{b}{k}=1$

5pens and 1book together cost ₹225.cost of 10pens is equal to the cost of 1book.Find the cost of 3pens and 2 books

Check the values of x from the given options for which the value of polynomial $x^3-7x^2+14x-8$ becomes zero.

The sum of a two digit number and the number obtained by reversing the order of the digits is 165 if the digits differ by 3 find the number

If one of the zeroes of a quadratic polynomial of the form $x^2+ax+b$ is the negative of the other, then it
(A) has no linear term and the constant term is negative.
(B) has no linear term and the constant term is positive.
(C) can have a linear term but the constant term is negative.
(D) can have a linear term but the constant term is positive.

The relation between mean,mode and median is

(a) $mode=(3\times mean)-(2\times median)$

(b)$mode=(3\times median)-(2\times mean)$

(c) $median=(3\times mean)-(2\times mode)$

(d) $mean=(3\times median)-(2\times mode)$

Solve the following systems of equations:

$\frac{xy}{x+y}=\frac{6}{5}$

$\frac{xy}{y-x}=6$

Find, in terms of the $\pi$, the length of the arc that subtends an angle of ${30}^{\circ }$ at the centre of a circle of radius 4 cm.

The area of a circle is 394.24 $c{m}^2$. Then the radius of the circle in cm is _______.

The median of the following data is

$$\begin{array}{ccccc}{x}_i& 10& 13& 16& 19\\ f_i& 2& 5& 7& 6\end{array}$$

Question 3
A cone is 8.4cm high and the radius of its base is 2.1cm. It is melted and recast into a sphere. The radius of the sphere is:

A) 4.2 cm
B) 2.1 cm
C) 2.4 cm
D) 1.6 cm

All formula of trigonometry

Which of the following is the perfect relation between $\sec \theta$ and $\tan \theta$ for any value of $\theta$?

If x is acute, then $\sqrt{\frac{1+sinx}{1-sinx}}$

Question 2
If the median of the distribution is given below is 28.5, find the values of x and y.

$\begin{array}{cc}Classinterval& Frequency\\ 0-10& 5\\ 10-20& x\\ 20-30& 20\\ 30-40& 15\\ 40-50& y\\ 50-60& 5\\ Total& 60\end{array}$

If AB is a chord which passes through the center O, then AB is known as :

x-6 is the factor of $p\left(x\right)=x^2+x-42$ . Because

The value of cos θ cos(90^o - θ) - sin θ sin (90^o - θ) is:

In fig., AP = 2 cm, BQ = 3 cm and RC = 4 cm, then the perimeter of ΔABC (in cm) is

The frequency distribution table below shows the marks of students. Find the number of people who obtained marks less than 22.5.

$$\begin{array}{cccccc}Class& 12.5-17.5& 17.5-22.5& 22.5-27.5& 27.5-32.5& 32.5-37.5\\ Frequency& 2& 22& 19& 14& 13\end{array}$$

Question 3
Show how $\sqrt{5}$ can be represented on the number line.

In triangle $ABC,\angle B={30}^{\circ },\angle C={45}^{\circ }$. If CD = 8 cm, then AB is equal to

The 5th term of an arithmetic sequence is 38 and the 9th term is 66. What its 10th term is

Find the lengths of the medians of the triangle with vertices A(0,0,6), B(0,4,0) and C(6,0,0).

If tan(A+B) =$\sqrt{3}$ and sin(A-B) = $\frac{1}{2}$ Where A and B are acute angles.

Then, Cos2A + Sin2B =__

Find a quadratic polynomial for each pair of given no. as the sum and product of its zeros respectively

1)√2,1/√3