Explore topic-wise InterviewSolutions in Current Affairs.

State the type of the conditional clause in the sentence.

You would probably have missed the mark if you had not taken the shot up close.

A hemispherical piece of wood is to be mounted at the end of a cylindrical wooden log with the same base.

If the length of the log is four times its width, then what is the percentage increase in its total surface area?

A manufacturer A sells an article to a trader B for ₹ 20,000. Trader B sells to a trader C at a profit of ₹ 5000 and trader C sells it to a customer at a profit of ₹ 6000, if the rate of VAT is 10 % , find the amount of tax ( under VAT) received by the State Government on the sale of this article

By selling at Rs 77 some 9/4% shares of face value Rs 100 and investing the proceeds in 6% shares of face value Rs 100 selling at Rs 110 a person increased his income by Rs 117 per annum how many shares did he sell.

Prove that:

(i) tan ${20}^{o}tan{35}^{o}tan{45}^{o}tan{55}^{o}tan{70}^o=1$

(ii) sin ${48}^{o}sec{42}^o+cos{48}^{o}cosec{42}^o=2$

(iii) $\frac{sin{70}^o}{cos{20}^o}+\frac{cosec{20}^o}{sec{70}^o}-2cos{70}^{o}cosec{20}^o=0$

(iv) $\frac{cos{80}^o}{sin{10}^o}+cos{59}^{o}cosec{31}^o=2$

How amny terms of the AP $20,19\frac{1}{3},18\frac{2}{3},...$ must be taken so that their sum is 300 ? Explain the double answer.

A person walked diagonally across a square plot of side 1 m. Approximately, what was the percent saved by not walking along the edges?

The angle of elevation of the top of the building from the foot of the tower is ${30}^{\circ }$ and the angle of the top of the tower from the foot of the building is ${60}^{\circ }$. If the tower is 50 m high, find the height of the building.

How many balls each of radius 1 cm can be made by melting a bigger ball whose radius is 8 cm?

If a and b are the zeroes of the polynomial f (X)=x² - 5x +k such that a-b =1 , find the value of k?

What is the angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree?

If n is a natural number, then which number always ends at 6 from the following?

In a business Ruchi and Deepthi invested amounts in the ratio $2:1$. Whereas the ratio between amounts invested by Ruchi and Amulya was $3:2$. If Rs $1,57,300$ was their profit, how much amount did Amulya receive?

Let M$\times \left[\begin{array}{cc}1& 1\\ 0& 2\end{array}\right]=\left[\begin{array}{cc}1& 2\end{array}\right]$, where M is a matrix.

State the order of the matrix M.

Class intervals / Frequency

15-25. 6

25-35. 11

35-45 . 7

45-55. 4

55-65. 4

65-75. 2

75-85 . 1

Statement I: If two triangles are similar, the sides are proportional.
Statement II: If two triangles are similar, the angles are equal.

If a person is looking down at an object, then the angle the man’s line of sight makes with the horizontal is the angle of __.

What is the ratio $\frac{PR}{RQ}$ for the following construction method?

Shubendhu owns 560 shares of a company. The face value of each share is ₹25. The company declares a dividend of $9\%$. Calculate:

(i) The dividend that Shubendhu will get.

(ii) The rate of interest on his investment if Shubendhu had paid ₹30 for each share.

Solve the following system of equations

8v-3u=5uv

6v-5u=-2uv

The cost of levelling a square lawn at Rs 15 per square metre is Rs 19,935.Find the cost of fencing the lawn at Rs 22 per metre.

From the top of a 120m high tower, a man observes two cars on the opposite sides of the tower and in straight line with the base of tower with angles of depression as ${60}^{\circ }$ and ${45}^{\circ }$. Find the distance between the cars. (Take $\sqrt{3}=1.732)$

If speed of boat in still water is x km/h and speed of stream is y $\frac{km}{h}$ .

S1 : upstream speed of boat is (x-y) $\frac{km}{h}$

S2 : downstream speed is (x+y) $\frac{km}{h}$

Find the average age of students for a particular class given below find their collective average.

$\begin{array}{ccc}\text{Class}& \text{Number of students}& \text{Age}\\ \text{8}& 120& 10\\ \text{10}& 130& 16\end{array}$

In tossing a coin 10 times, the outcomes are

H, H, H, T, H, T, T, T, H, H

The empirical probability of getting a head is (in decimal form)

if 2 θ + 45^o, 30^o - θ are acute angles, the degress measure of θ satisfying tan(2θ + 45^o) = cot(30^o – θ) is

$\frac{\sin A}{\sin (90-A)}+\frac{\cos A}{\cos (90-A)}=secAcosecA$

If H.C.F of $x^3{y}^4{z}^2$ and $x^6{y}^8{z}^4$ is 'a' and H.C.F of $x^5{y}^6{z}^3$ and $x^6{y}^7{z}^4$ is 'b' then $\frac{a}{b}$ = .

A box A contains 3 red balls and 4 blue balls, box B contains 4 red balls and 3 blue balls. A ball is randomly taken from box A and kept in box B. If a ball is drawn from box B, what is the probability that the ball drawn is a red ball?

How many zeroes a polynomial of degree x have

If $\tan A=\frac{a}{(a+1)}$ and $\tan B=\frac{1}{(2a+1)}$, then the value of $A+B$ is?

Find the equation of a line whose slope is $-1$ and y-intercept is 5.

Which of the following is an internal debt of the government?

A cylindrical container with diameter of base 42 cm contains sufficient water to submerge a rectangular solid of iron with dimensions 22 cm $\times$ 14 cm $\times$ 10.5 cm. Find the rise in level of the water when the solid is submerged.

If $a{x}^2+bx+c=0$ is a quadratic equation, then $a$ CANNOT be:

Which of the following statements is true for $\theta$ ranging from $0^{\circ }$ to ${90}^{\circ }$?

If the points A(1,2), B(0,0) and C(a,b) are collinear, then which of the following is correct

If for an A.P. S_n=n² + 3n
What is the n ^th term?

In right - angled triangle ABC in which $\angle C={90}^{\circ }$, if D is the mid-point of BC, prove that $A{B}^2=4A{D}^2-3A{C}^2$

Question 9
Following table gives the distribution of students of sections A and B of a class according to the marks obtained by them.

$\begin{array}{cccc}\text{Section A}& & \text{Section B}& \\ \text{Marks}& \text{Frequency}& \text{Marks}& \text{Frequency}\\ 0-15& 5& 0-15& 3\\ 15-30& 12& 15-30& 16\\ 30-45& 28& 30-45& 25\\ 45-60& 30& 45-60& 27\\ 60-75& 35& 60-75& 40\\ 75-90& 13& 75-90& 10\end{array}$

Represent the marks of the students of both the sections on the same graph by two frequency polygons. What do you observe?

Solve the following inequation:
$-\frac{2}{3}<-\frac{x}{3}+1$.