Explore topic-wise InterviewSolutions in Current Affairs.

O is equidistant from the sides AC and AB. Find the value of x - 3.

Find the coordinates of the point R on the line segment joining the points P(-1,3) and Q(2,5) such that $PR=\frac{3}{5}PQ.$

Mr. Gupta opened a recurring deposit account in a bank. He deposited Rs.2,500 per month for 2 years. At the time of maturity he got Rs.67,500. Find the rate of interest offered by the bank.

Sum of $2\sqrt{2}+5\sqrt{3}$ and $\sqrt{2}-3\sqrt{3}$ is

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹ 27 for a book kept for seven days, while Susy paid ₹ 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Cards are marked with numbers 1, 2, 3, 4…20 are well shuffled & a card is drawn at random. What is the probability that the number on the card is

The base of a prism is an equilateral triangle of perimeter 15 cm and the height is 5 cm. What is the volume of the prism?

In the 3 slide of surface area of a cuboid we have divided 5% as 1.05 instead it should be 0.05

In the given figure $AB\parallel EF\parallel DC$; AB = 67.5 cm. DC = 40.5 cm and AE = 52.5 cm. Find the length of EC.

If (x-a) is factor of $x^3+ax+a+1$. Which of the following is true?

Question 37

$4.7÷1000=$ ___.

If $\frac{a+b}{a-b}$ = $\frac{9}{13}$

Find the value of $\frac{a}{b}$

Factorize $a^3-\frac{1}{a^3}-2a+\frac{2}{a}$

If x = -1, y = 2 is a solution of the equation 3x + 4y = k, find the value of k.

BD is one of the diagonals of a quad.ABCD.If $AL\perp BD$ and $CM\perp BD$,show that ar(quad.ABCD)=$\frac{1}{2}\times BD\times (Al+CM)$.

If (x+1) is a factor of the polynomial $(2x^2+kx)$ then k=?
(a) 4
(b) -3
(c) 2
(d) -2

If $p\left(x\right)=2x^3-11x^2-4x+5$ and $g\left(x\right)=2x+1$, show that g(x) is not multiple of p(x).

Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes :

Two heads : 95 times

One tail : 290 times

No head : 115 times

Find the probability of occurrence of each these events.[NCERT]

The below given figure shows two __ lines

Animesh bought 10 pencils and 7 erasers and the total amount he paid was rupees 120. Choose the equation that represents the transaction correctly.
(Assume the price of a pencil to be ₹ $x$ and of an eraser to be ₹ $y$)

2361 = ( 784 $\times$ Q ) + R
Find the value of Q and R.

The total cost of 2 tickets to station A and 3 tickets to station B is ₹ 46. Also, the total cost of 3 tickets to station A and 5 tickets to station B₹ 74. Find the fares to station A and to station B.

If three or more points lie on the same line, they are called collinear points.

Use suitable identities to find the following product: (3x + 4) (3x – 5)

Point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.

The point(-4,-1) lies on a line of the equation

[(90 + 4) $÷$2 – 6 $\times$ 6 $÷$ 2+ {(7 + 4) $\times$ 10} + 8 $\times$ 9 – 5] $\times$ 10 + 8

In the given figure, if $\angle AOC={130}^{\circ },$ then the value of $\angle ABC$ = _______.

Factorise 2x²-x-6

Question 1
The class mark of class 90 - 120 is:

A) 90
B) 105
C) 115
D) 120

Find the mode for the following data.

$$\begin{array}{cccccc}Classintervel& 35-45& 45-55& 55-65& 65-75& 75-85\\ Frequency& 200& 250& 50& 70& 40\end{array}$$

In the figure, O is the center of the circle of radius 5 cm. P and Q are points on chords AB and CD such that OP $\perp$ AB, OQ $\perp$ CD, AB || CD, AB = 6 cm and CD = 8 cm. Determine PQ.

In $△$ABC, if $\angle$A = ${45}^{\circ }$ and $\angle$B = ${70}^{\circ }$, then the shortest and the longest sides of the triangle, respectively, are:

Let $x$ be a rational number whose simplest form is expressed as $\frac{p}{q}$, where $p$ and $q$ are co-prime integers and $q\ne 0$ and also, $x$ is a terminating decimal, then $q$ can be expressed in the form of _____________ (where m and n are non-negative integers).

Suppose there are two lines l and m. Both the lines have only one common point P then these two lines are called as __ lines.

Can we form a quadrilateral whose angles are ${70}^{\circ },{115}^{\circ },{60}^{\circ }and{120}^{\circ }$? Give reasons for your answer.

A line segment $AB$ is divided in the ratio $m:n$ where $m$ and $n$ are co-prime, using a single ray $AX$. The number of arcs to be drawn on $AX$ is _____.

a +1/a= 17/4, then the value of (a -1/a ) is?

Find the perimeter and area of the quadrilateral ABCD in which AB = 17 cm AD = 9cm, CD = 12cm, $\angle ACB={90}^0$and AC = 15cm.

The median of the numbers 4, 4, 5, 7, 6, 7, 7, 12, 3 is
(a) 4
(b) 5
(c) 6
(d) 7

Visualise the representation of $5.3\overline{7}$ on the number line upto 5 decimal places, that is upto 5.37777.

$\text{The area of an equilateral triangle is}36\sqrt{3}c{m}^2.\text{Its perimeter is}\left(a\right)36cm\left(b\right)12\sqrt{3}cm\left(c\right)24cm\left(d\right)30cm$

In the figure, AE bisects $\angle CAD$ and $\angle B=\angle C$ prove that $AE\left|\right|BC.$

In a cricket match , a boundary 6 times out of 30 balls he plays.Find the probalility that on a ball played:

(i) he hits boundary (ii) he does not hit a boundary.

In the figure, side BC of $\Delta ABC$ is peoduced to point D such that bisectors of $\angle ABC$ and $\angle ACD$ meet at a point E. If $\angle BAC={68}^{\circ }$, find $\angle BEC.$