Explore topic-wise InterviewSolutions in Current Affairs.

Which among the following options is irrational?

Rewrite -3x + 2y + 7 = 0 in the form y = mx + c, and find the slope and the Y intercept

In the given figure, if $BE=CF,$ then which of these following options is correct?

40 bags of cotton cost Rs. 2200, but by exchanging 25 bags to the shopkeeper we get 30 grams of silver. Find the price of 150g of silver by exchanging relevant number of cotton bags.

If three positive real numbers a, b, c are in A.P. such that abc $=4$, then the minimum value of b is

In a composite function f [g(x)], the following condition must be true

Derive the formula used to find the area of segment of circle. [4 MARKS]

The small groups obtained on dividing all the observations are called ________ and the size is called _________.

If A is $3\times 4$ matrix and B is a matrix such that A'B and BA' are both defined. Then B is of the type

Given one line and one circle that you can arrange in any way you like, the maximum number of points where they intersect is

Expand $(x+8)(x-10)$.

1. 13

If 2x – 3y = 1, then express $4x^2-2x+3$ in terms of y.

Let x and y be rational and irrational numbers respectively are x+y and xy irrational? Justify by an example for each...

Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.

Three statements are given below:

I. In a rectangle ABCD, the diagonal AC bisects $\angle A$ as well as $\angle C$.

II. In a square ABCD, the diagonal AC bisects $\angle A$ as well as $\angle C$.

III. In a rhombus ABCD, the diagonal AC bisects $\angle A$ as well as $\angle C$.

Which is true?

(a) I only

(b) II and III

(c) I and III

(d) I and II

If one end of a line segment is extended endlessly then the obtained geometrical figure will be __.

Prove that the opposite sides of a parallelogram are equal.

Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.

Expand ${\left(\frac{7}{9}\right)}^3$?

Can a triangle have:

(i) Two right angles?

(ii) Two obtuse angles?

(iii) Two acute angles?

(iv) All angles more than ${60}^{\circ }$?

(v) All angles less than ${60}^{\circ }?$

(vi) All angles equal to ${60}^{\circ }?$

Justify your answer in each case.

Factorise each of the following: 8$a^3$ – $b^3$– 12$a^2$b + 6a$b^2$

$Theaverageof{X}_1,X_2,X_{3}is14.Twicethesumof{X}_{2}and{X}_{3}is30.TheValueof{X}_{1}is:$

Sides of a triangle are 1, 2 and 3. What will be the angles of the triangle?

In the above question, which of the following geometrical figures would help you go ahead with the problem?

The Mid value of class range is 142. The Upper limit of the class is 164 , What will be the lower limit ?

The quadrilateral formed by angle bisectors of a cyclic quadrilateral is also cyclic. Prove it.

if AB||CD, ED||BC ,Angle BAC =65 AND angle dhf = 35 find anglw AGH

Use the following information to answer the next question.

The length of a thread is 10-hand spans. It is used to measure the circumference of a solid cylinder. For this purpose, the thread is wound around the circumference of the cylinder.

If the thread is wound around the cylinder five times, then what is the circumference of the cylinder?

Two equations in the variables $x$ and $y$ written in the standard form where
$a_{1}x+b_{1}y+c_1=0and$
$a_{2}x+b_{2}y+c_2=0$,
have the coefficients as follows:
$a_1=5,b_1=6,c_1=4,a_2=10,b_2=12,c_2=7$.
What is the nature of these two lines?

The adjacent figure shows two arcs $P$ and $Q.$ Arc $P$ is part of the circle with centre $O$ and radius $OA=10cm$. Arc $Q$ is a part of the circle with centre $M$ and radius $AM=5cm,$ where $M$ is the mid-point of $AB.$ Area enclosed by the arc $Q$ and chord $AB$ is

In the given figure, AB = EF, BC = DE, AB ⊥ BD and EF ⊥CE. Which of the following criterion is true for ΔABD ΔEFC?

A big iron boiler tank opened on top is cylindrical in shape. It's height is 10m and radius is 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take $\pi =\frac{22}{7}$ )

The number of proper subsets of a set with m elements is

$\text{If}tan\theta +cot\theta =2,$ then $ta{n}^2\theta +co{t}^2\theta$ = _____.

Factorise by splitting the middle term: 24x² - 65x + 21

The ratio of base radius to slant height of a right circular cone is 4:3. Calculate the ratio of total surface of cone to curved surface of the cone.(Take pi=$\frac{22}{7}$)

The basic criterion for a triangle to exist is that the sum of two sides of the triangle must be __ than the third side of the triangle.

Question 12
The number obtained on rationalising the denominator of $\frac{1}{\sqrt{7}-2}$ is

A) $\frac{\sqrt{7}+2}{3}$
B) $\frac{\sqrt{7}-2}{3}$
C) $\frac{\sqrt{7}+2}{5}$
D) $\frac{\sqrt{7}+2}{45}$

If Sachin scores 100 runs and Dravid scores 50 runs, then what percent of Dravid’s runs did Sachin score?