Explore topic-wise InterviewSolutions in Current Affairs.

Arpit and Rita will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Arpit and Rita have an equal chance of choosing any one of the hand signs, what is the probability that Arpit will win?

The possible values of $x^2+6$ is (x is real)

Question 2(c)

Place commas correctly and write the numerals:

Seven crore fifty two lakh twenty one thousand three hundred and two.

Let W denote the words in the English dictionary. Define the relation R by $R=\left\{\right(x,y)ϵW\times W|$ the words x and y have at least one letter in common.} Then R is

In the figure, ray OC stands on the line AB and $\angle BOC={125}^{\circ }$. Find reflex $\angle AOC$. [2 MARKS]

If in the last 20 working days, Sivan was absent for 3 days, then what is the probability that he will be present tomorrow?

Addition of the two polynomials $2x^3-3x^2$ and$-5x^3-8x^2$ is .

In the adjoining figure, if AD, AE and BC are tangents to the circle at D, E and F respectively. Then

Question 1 (iv)
Which is greater:
1.37 or 1.49

(2a +b)^2 - 6a - 3b - 4 factorize

A bag contains 50 coins and each coin is marked from 51 to 100 . One coin is picked at random . The probability that the number on the coin is not a prime number is

(A) 1/5

(B) 3/5

(C) 2/5

(D) 4/5

In PQR, PQ = PR and R = 65°, then P =?

In the given figure, ABCD is a parallelogram of base 4 cm and height 4cm , then ar($\Delta AFB$) is

The term perimeter is defined for _____ dimensional shape(s).

Which of the following is a polynomial in one variable?

What is the remainder obtained when the polynomial P(x) = $x^7+9x^5+5x^3+x-1$ is divided by $x–1$?

The value of cos60 is

Question 2
In $\Delta ABC,AD$ is the perpendicular bisector of BC (see the given figure).
Show that $\Delta ABC$ is an isosceles triangle in which AB = AC.

Question 15
A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of ${30}^{\circ }$, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be ${60}^{\circ }$. Find the time taken by the car to reach the foot of the tower from this point.

Consider the following two statements.
Statement-1: The point of intersection of the axes is called the ordinate.
Statement-2: The coordinate axes divide the plane into four quadrants.
Which of the following is true?

The figure shows a parallelogram PQRS in which A is the mid point of PQ and B is the mid point of RS.

S1 : SX = XY

S2 : XY = QY

Question 10
The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after

A) One decimal place
B) Two decimal places
C) Three decimal places
D) Four decimal places

In $△$ABC, ∠ABC = 90${}^{\circ }$ ∠BAC = 45${}^{\circ }$ ∠ACB = 45${}^{\circ }$. What is this triangle called?

The area of an isosceles triangle is $60c{m}^2$ and the length of each one of its equal sides is $13cm$, the length of its base is

In the given figure, AB || CD, then the value of x is

​

System of vectors $a_1,a_2,.......a_n$ is said to be linearly dependent if there exists a system of scalars $(c_1,c_2---c_{n}suchthat{c}_1\overline{a}+c_2\overline{a_2}+...c_n\overline{a_n}=\overline{0}$

Express each of the following in a form free from logarithm:

(i) $2logx-logy=1$

(ii) $2logx+3logy=loga$

(iii) $alogx-blogy=2log3$

Point P(x,y) is a point in the third quadrant of the Cartesian plane. Then

The coordinates in which abscissa and ordinate have same signs will lie in which quadrants?

In the construction of the perpendicular bisector of a given line segment, as shown in the figure below

$\Delta PMA\cong \Delta PMB$ by which congruence criterion?

Add the polynomial $5y^2+12y+4$ with $6y^2-8y+7$.​

If the coordinate axes are not perpendicular to each other but two lines are at an angle of ${60}^{\circ }$. How many coordinates will be used to represent a point?

In the given figure if $\angle$ABC = ${60}^{\circ }$, AB = AC, then

If the number of elements in set A is 7 and number of elements in set B is 6. Find the maximum number of elements that the set $A\cap B$ can have.

An event is performed to throw a die and get an odd number on it. The list of favorable possible outcomes are:

In a right angle triangle board the difference between the two sides containing right angle is 2m and the area of the triangle is 60 $m^2$.Find the base and height of the triangle. [3 MARKS]

What sum of money will amount to Rs. 9261 in 3 years at 5$\%$ per annum compound interest?

Factorise: $5(a+b{)}^2+10(a^2-b^2)+5(a-b{)}^2$

The perimeter of a right triangle is 24 cm. If it's hypotenuse is 10cm.Find its area

Centroid is the point of intersection of the ___ of a triangle.

In a right angle triangle ABC (right angle at B)

The value of tan A tan C=___