Explore topic-wise InterviewSolutions in Current Affairs.

If $x=\sqrt{(p+q)}+\sqrt{(p-q)}÷\left[\sqrt{(p+q)}-\sqrt{(p-q)}\right]$ then find the value of $q{x}^2-2px+q$

Factorise x² + x/6 -1/6

Construct a $\angle$ABC = 30${}^{\circ }$. Mark a point D on BC such that BD = 6 cm. Find the radius of the circle to touch the line AB at B and also pass through D.

If triangles PQR and ABC are congruent, then the angle(s) of triangle PQR that corresponds to angle C is/are

Solve: $2x+y=-4,3y=5x-1$

By Substitution method

What are the 2 properties of Area?

A line y = mx passes through the origin

Three coins are tossed 200 times and we get

three heads: 39 times; two heads: 58 times;

one head: 67 times; 0 head: 36 times.

When three coins are tossed at random, what is the probability of getting (i) 3 heads? (ii) 1 head? (iii) 0 head? (iv) 2 heads?

In the figure, ABCD is a cyclic quadrilateral. AF is drawn parallel to CB and DA is produced to point E. If angle ADC = 92^o, angle FAE = 20^o; then angle BCD will be

A cuboid is $12cm$ long, $9cm$ broad and $8cm$ high. Its total surface area is
$\left(a\right)864c{m}^2\left(b\right)552c{m}^2\left(c\right)432c{m}^2\left(d\right)276c{m}^2$

A rational number equivalent to $\frac{7}{19}$ is

(a)$\frac{17}{119}$

(b)$\frac{14}{57}$

(c)$\frac{21}{38}$

(d)$\frac{21}{57}$

If ABCD is a parallelogram with two adjacent angles $\angle A=\angle B$ then the parallelogram is a

(a) rhombus

(b) trapezium

(c) rectangle

(d) none of these

Use the following information to answer the next question.

In the given figure, D, E, and F are the mid-points of sides BC, AC, and AB respectively. The lengths of sides DE, EF, and DF are 7 cm, 24 cm, and 25 cm respectively.

What is the area of ΔABC?

In ΔABC, right angled at B, if cot A = √3 then the value of cos A x sin C + sin A x cos C =

The area of a cuboidal box with square base of edge 4.2 cm and height 10 cm is

Match the following:

$\begin{array}{cc}1.sin({90}^{\circ }-A)& a)cosecA\\ 2.tan({90}^{\circ }-A)& b)cotA\\ 3.sec({90}^{\circ }-A)& c)cosA\end{array}$

Simplify the following expressions :

(i) $(11+\sqrt{11})(11-\sqrt{11})$

(ii) $(5+\sqrt{7})(5-\sqrt{7})$

(iii) $(\sqrt{8}-\sqrt{2})(\sqrt{8}+\sqrt{2})$

(iv) $(3+\sqrt{3})(3-\sqrt{3})$

(v) $(\sqrt{5}-\sqrt{2})(\sqrt{5}+\sqrt{2})$

A sum compounded annually becomes $\frac{49}{16}$ times itself in 2 years. The rate of interest per annum is _____.

In a right angle triangle $\Delta ABC$, a perpendicular BD is drawn onto the largest side from the opposite vertex. Which of the following does NOT give the ratio of the areas of $\Delta ABD$and $\Delta BCD$ ?

In the given figure, $AD=DB$ and $AE=EC.$ The ratio, $BC:DE=$

PQRS is a square. PR and SQ intersects at O. State the measure of ∠POQ.

Which of the following options has pairs of quantities where the first quantity is directly proportional to the second one?

If the ratio of angles (taken in order) of a quadrilateral is 1:2:4:3, then it could be a

If the heights of two cones are in the ratio 1:4 and the radii of their bases are in the ratio 4:1,then the ratio of their volumes is

If x = y then (x,y) = (y,x).

In figure, A, B, and C are three points on a circle with centre O such that $\angle$BOC = ${30}^0$ and $\angle$AOB = ${60}^0$. If D is a point on the circle other than the arc ABC, find $\angle$ADC (in degrees).

Out of the three lines AB, CD and EF, if AB is parallel to EF and CD is also parallel to EF, then what is the relation between AB and CD.

If A = {9,e,i,o,u} and B = (a, b, c, d) . Find the union of A and B.

Let A = {1,2,3}, B = {1,3,5}. A relation R:A $\to$ B is

defined by R = {(1,3),(1,5),(2,1)}. Then $R^{-1}$ is defined by

Question 3
The area of the parallelogram ABCD is $90c{m}^2$.
Find
a) ar (ABEF)
b) ar ($\Delta$ABD)
c) ar ($\Delta$BEF)

An equilateral triangle ABC is inscribed in a circle centered at O, as shown below. OE is a radius such that it is perpendicular to BC and cuts BC at point D. If OD = 2.2 cm, then the diameter of this circle is

Which of the following statement about real numbers is false ?

Why SAS congruence rule is stated as an Axiom and other rules are stated as Theorems?

If A = {2, 3, 5, 7, 11} and B = {5, 7, 9, 11, 13} , then $A△B$ is

Why is Negation a Logical connective?

The area of a triangle with sides 14 cm, 16 cm and 26 cm and semi-perimeter 28 cm is

Find the coefficients of x² in -

x² - 2x + 4

Explain how two points having same abscissae but different ordinates lie on a line parallel to y-axis.

The perimeter of a right triangle is $144cm$ and its hypotenuse measure $65cm$. Find the lengths of the other sides and calculate its area using heron's formula.

If the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a:

The volume of a cuboidal tank is $1000m^3$. The length and breadth of the tank are $20m$ and $10m$ respectively. The height of the tank is ___ $m$

If the point (3,4) lies on the graph of equation 3y — ax+7 find the value of a

What is real number?

In a frequency distribution, the class-width is 4 and the lower limit of first class is 10. If there are six classes, the upper limit of last class is

The height of the cliff is
I. The angle of elevation of the cliff from a fixed point F is ${45}^{\circ }$
II. After going up towards a distance of 1000 m at an inclination of ${30}^{\circ }$, the angle of elevation is ${60}^{\circ }$

A sum of money triples itself at compound interest in 12 years. In how many years will it become 9 times?

In the given figure, lengths of the chords $AB$ and $CD$ are $12cm$ and $18cm$ respectively and distance between them is $15cm$. Find the radius of the circle.