Explore topic-wise InterviewSolutions in Current Affairs.

How do you write 0.00079 in scientific notation?

The distance of a star from planet x is 32698754368159 km. Find the least occurring digit in this distance.

ABCD is a rectangle. If OB = x + 2 and AC = 5x - 2, then find the measure of AC.

Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than $\frac{2}{3}$ of a right angle.

The lateral surface area of a cylinder is $94.2c{m}^2$ and its height is 5 cm. Find (i) the radius of its base and (ii) its volume .(Take $\pi$=3.14 .)

The traffic police recorded the speed (in km/hr) of 10 motorists as 47,53,49,60,39,42,55,57,52,48.Later on error in recording instrument was found.Find the correct average of the motorists if the instrument recorded 5 km/hr less in each case.

If area of a ||gm with sides a and it is A and that of a rectangle with sides a and b is B then

(a) A > B

(b) A = B

(c) A < B

(d) $A\ge B$

If $2x+3y=8andxy=2,findthevalueof4x^2+9y^2.$

In a cyclic quadrilateral ABCD, $\angle A=(2x+4{)}^{\circ },\angle B=(y+3{)}^{\circ },\angle C=(2y+10{)}^{\circ },\angle D=(4x-5{)}^{\circ }$. Find the four angles.

The last page number on the textbooks of different subjects in a class is given.

$\begin{array}{cc}\text{Subject}& \text{Page Number}\\ \text{English}& 203\\ \text{Hindi}& 203\\ \text{Maths}& 152\\ \text{Physics}& 177\\ \text{Chemistry}& 225\\ \text{Biology}& 172\\ \text{Computer Sci.}& 185\\ \text{History}& 203\\ \text{Geography}& 172\\ \text{Moral Sci.}& 267\end{array}$

Find the probability that the last page number ends in
(i) an odd number
(ii) an even number
(iii) a multiple of 3. [4 MARKS]

The ascending order of angles for the given triangle is

Which one of the following is not a factor of $x^3+2x^2+x$?

The mean of the following distribution is
$$\begin{array}{ccccc}{x}_i& \text{10}& \text{13}& \text{16}& \text{19}\\ f_i& \text{2}& \text{5}& \text{7}& \text{6}\end{array}$$

Which of the given points lie on the line x - y = 5?

Select the equation whose graph is given alongside:

Find the value of:

$\frac{(383.08{)}^2-({303.08}^2)}{686.16}$

Pick an option which gives the meaning of the word - Geometry.

A triangle with sides 12, 16 and 20 units is given.

Statement 1: To find the area of this triangle, the formula "$Area=\frac{1}{2}\times base\times height$" is the ideal one to be used.

Statement 2: To find the area, the formula "$Area=\sqrt{s(s-a)(s-b)(s-c)}$" is the ideal one to be used.

​Enter “1” if you feel Statement 1 is correct, or “2” if Statement 2 is correct.
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Compound interest on a certain sum of money at 5% per annum for two years is Rs. 246. Calculate simple interest on the same sum for 3 years at 6% per annum.

Two friends lived on a number line. One of them lived at number 2 and other at number 7. Then the distance between them is ___ units.

Rectangle ABCD and △ PQR have equal bases and lie between the same parallels. Area of rectangle ABCD : area of △ PQR =_____.

What is the conjugate pair of2√5+√3

Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the midpoints of the chords of the circle C that subtend an angle of $\frac{2\pi }{3}$ at its centre is -

If x = $\frac{-b+\sqrt{b^2-4ac}}{2a}$, then express the given formula in terms of a.

Good evening sir/mam

My query is they why we take (x-a),(x-b),(x-c) as factors of cubic polynomial means why the contents a,b,c are negative not positive

Thank you

Which of these points lies on 3x + 2y = 12?

Find the zeros of the polynomial

p(x)=3x+1

p(x)=ax

Use the following information to answer the next question.

The given figure is drawn by attaching an equilateral ΔABC and an isosceles ΔDEF to the opposite ends of rectangle BCFD. The perimeter of ΔABC is 24 cm, while that of ΔDEF is 20 cm.

What is the perimeter of the given figure?

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

ABCD is a rhombus of side 20 cm has two angles of ${60}^o$ each. The length of the diagonal AC is

Three angles of a quadrilateral are equal. The fourth angle is twice one of the angles.

Find the measure of largest angle.

In the angle shown below, as the distance (represented by a,x ) from the vertex of the angle changes, the height (represented by b, h) also changes.

Given that $h\propto x$, find the constant of proportionality.

A circle of diameter 13 cm has two chords of lenght 12cm and 5cm. If both the chords lie on the same semicircle, what is the distance between the chords?

Simplify: $(0.0001{)}^{\frac{-3}{4}}$

A rectangular water tank of base $12m\times 10m$ contains water upto a height of 4 m. If the water in the tank is transferred to a square tank of side 8m, find the height of the water level in the tank. (in m)

If we take the sum of an irrational number and a rational number, which of the following options hold true regarding the resulting sum?

In the figure, ABCD is a quadrilateral inscribed in a circle with centre O. CD produced to E such that $AED={95}^o$ and $\angle OBA={30}^o$. Find $\angle OAC$.

A cuboid has total surface area of $372c{m}^2$ and its lateral surface area is $180c{m}^2,$ find the area of its base.

P is the mid -point of side BC of a parallelogram ABCD such that $\angle BAP=\angle DAP$. If AD = 10 cm, then CD =

In the figure, AB is a diameter of the circle such that $\angle A={35}^{o}and\angle Q={25}^o$, find $\angle PBR$.

M and N are points on opposite sides AD and BC of a parallelogram ABCD such that MN passes through the point of intersection O of its diagonals AC and BD. Show that MN is bisected at O.

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x).

f(x) = $x^3-6x^2$ + 11x - 6; g(x) = x - 3

A godown measures $40m\times 25m\times 10m.$Find the maximum number of wooden crates each measuring $1.5m\times 1.25m\times 0.5m$ that can be stored in the godown.