Explore topic-wise InterviewSolutions in Current Affairs.

Solve the following system using Cramer’s Rule.

$2x+3y=4$

$x+y=1$

$8x-9\underset{–}{>}35-3x;xϵN$

In a right angled triangle, the longest side is the __.

The roots of quadratic equation are 2x²+3x-9 = 0 are:

From Delhi station if we buy 2 tickets to station A and 3 tickets to station B, the total cost is Rs. 77, but if we buy tickets 3 tickets to station A and 5 tickets to station B, the total cost is Rs. 124. What are the fares from Delhi to station A and to station B?

A river 3 m deep and 10 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?

If sin ( 2A.+ 45° ) = cos ( 30° - A ), find A.

For the same amount of work, A takes 6 hours less than B. If together they complete the work in 13 hours 20 minutes, find how much time will B alone take to complete the work?

For what value of n, the nth terms of the arithmetic progression 63, 65, 67,... and 3, 10, 17,.. are equal?

$\text{If}\frac{x}{a}cos\theta +\frac{y}{b}sin\theta =1\text{and}\frac{x}{a}sin\theta -\frac{y}{b}cos\theta =1,\text{prove that}\frac{x^2}{a^2}+\frac{y^2}{b^2}=2$

Compute the mode of the following data:
$\begin{array}{cccccc}\text{Class}& 0-20& 20-40& 40-60& 60-80& 80-100\\ \text{Frequency}& 25& 16& 28& 20& 5\end{array}$

In the given figure, R is an external point and RP and RQ are tangents drawn to the circle from R. $\angle POQ$ is ${90}^{\circ }$. The quadrilateral OPRQ is a ____ and the $\angle POR$ is ____

$O$ is the center of circle.$AB$ and $AC$ are tangent drawn from $A$ and $BA$ perpendicular to $AC$. Prove that $BACO$is a square.

What is the lower limit of the modal class of the following frequency distribution?

$\begin{array}{ccccccc}Age\left(inyears\right)& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60\\ Numberofpatients& 16& 13& 6& 11& 27& 18\end{array}$

A is a matrix of order n and k is a constant, then adj(kA) is

The figure formed by joining the midpoints of the adjacent sides of a rectangle of sides 8 cm and 6 cm is a

(a) rectangle of area $24c{m}^2$

(b) square of area $24c{m}^2$

(c) trapezium of area $24c{m}^2$

(d) rhombus of area $24c{m}^2$

The line passing through (0, 2) and (-3, -1) is parallel to the line passing through (-1, 5) and (4, a). Find a.

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : $\frac{23}{2^3{.5}^2}$

If the distance between points P (x, 2) and Q (3, 6) is 10 units, then x = ___ units.

Find the mode of the given data:

$\begin{array}{ccccc}Classinterval& 0-20& 20-40& 40-60& 60-80\\ Frequency& 15& 6& 18& 10\end{array}$

(i) Give an example of two irrationals whose sum is rational.

(ii) Give an example of two irrationals whose product is rational.

$\frac{tan{35}^o}{cot{55}^o}+\frac{cot{78}^o}{tan{12}^o}$= ?

(a) 0 (b) 1 (c) 3 (d) none of these

Show graphically that each of the following given systems of equations is inconsistent.i.e., has no solution:

$2x+3y=4,4x+6y=12.$

For an integer n, a student states the following:
I. If $n$ is odd, $(n+1{)}^2$ is even
II. If $n$ is even, $(n-1{)}^2$ is odd
III. If $n$ is even, $\sqrt{n-1}$ is irrational.
Which of the above statements would be true?

If a line segment is drawn between the points (-2,4) and (6,4) then find the coordinates of the point on the same segment which is 6 units from (6,4)

Which of the following number line represent the solution of the inequation: $-8\le 2x<4;x\in \text{R}$?

ABCD is a cyclic quadrilateral PQ is a tangent at B . If $\angle$DBQ = ${65}^{\circ }$ , then $\angle$BCD is

The following table shows data during a 1hr exam for a student.

$$\begin{array}{cc}\text{Time during exam(mins)}& \text{Total number of questions solved in the exam}\\ 0-10& 2\\ 10-20& 5\\ 20-30& 10\\ 30-40& 15\\ 40-50& 17\\ 50-60& 25\end{array}$$

The number of questions completed by the student in the last 10 minutes of the examination is ?

Which of the following graph represents the given table?

$$\begin{array}{cc}\text{Marks}& \text{Number of students}\\ >05& 48\\ >10& 45\\ >15& 39\\ >20& 30\\ >25& 18\\ >30& 10\end{array}$$

If the coordinates of the mid points of the sides of a triangle are (1, 1), (2, – 3) and (3, 4) Find its centroid.

S1 : A degree 10 polynomial can have 5 real zeroes

S2 : Complex roots always occurs in pairs.

Use Euclid Division algorithm to find the HCF of 1620,225,1725.

Two trains leave a railway station at the same time. The first train travels towards west and the second train travels towards north. The first train travels 5 km/he faster than the second train. If after two hours they are 50 km apart. Find the speed of each train.

A letter is chosen at random from a message HEY DUDE WASSUP. What is the probability that the chosen letter is a constant.

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

An AP has first term -3 and a common difference -1. Find the 3^rd term of the A.P.

The ratio of the sum and the product of the roots of $5x^2–14x+7=0$ is

Find a natural number whose square when decreased by 84 is equal to 24 more than thrice the given number.

D is the mid point of side BC of a triangle ABC and E is the mid point of AD. BE produced meets AC at point F . Prove that BE : BF =3:4

Find a solution of the equation $se{c}^2\theta$ + $ta{n}^2\theta$ = 3 $tan\theta$

If x:y=3:7 Find out (3x+y):(x+3y)

A man walks toward right for 80 m take a right walks for 100 m, take a left walk for 40 cm. again take left and walks for 150 m and stops. The distance from him to initial point is ____________(Enter in digits)

1. 130

   
   

Find the sum to n terms of the series $S_n=1^2+(1^2+2^2)+(1^2+2^2+3^2)....Also,determine\sum \frac{S_n}{(n+1{)}^2}$.

Which of the following options could be the probability of an event?