Explore topic-wise InterviewSolutions in Current Affairs.

Find the ratio in which the point P (–1, ) divides the line AB where A (–5, 4), B (3, –2). Hence find

$(sinA+cosecA{)}^2-(sinA-cosecA{)}^2=$

Constructing a single ray, divide a line segment of length 12 cm in the ratio 6:3.

Triangle ABC is similar to triangle PQR. If AD and PM are corresponding medians of the two triangles, prove that : $\frac{AB}{PQ}=\frac{AD}{PM}$.

If cosecc $\theta$ = $\sqrt{10}$ then sec $\theta$ = ?

(a) $\frac{3}{\sqrt{10}}$ (b) $\frac{\sqrt{10}}{3}$ (c) $\frac{1}{\sqrt{10}}$ (d) $\frac{2}{\sqrt{10}}$

Solve each of the following quadratic equations:
$6x^2+11x+3=0$

Find the area of the minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is ${60}^{\circ }$.

Places A and B are 80 km apart from each other on a highway. A car starts from A and other from B at the same time. If they move in the same direction, they meet in 8 hours and If they move in the opposite directions, they meet 1 hour and 20 minutes. Find the speeds of the cars.

Hwo many two digit numbers are divisible by 6?

Find the equation of the lines given in the graph and also their point of intersection.

What is the minimum number of points required to draw a single line?

Rubik's cube has a total surface area of 54 ${cm}^2$. Each side of Rubik’s cube contains 9 tiles. The area occupied by a single red tile on Rubik's cube is:

Prove the construction method used for constructing similar triangles of the given ratio of corresponding sides.

Out of 100 balls in a bag 30 are green, 35 are blue and 35 are red. Find the probability that a ball drawn from the bag is (i) green (ii) blue (iii) red.

(i) $sec\theta (1-sin\theta )(sec\theta +tan\theta )=1$
(ii) $sin\theta (1+tan\theta )+cos\theta (1+cot\theta )=(sec\theta +cosec\theta )$

On increasing each of the radius of the base and the height of a cone by $20\%$ its volume will be increased by

(a) $20\%$ (b) $40\%$ (c) $60\%$ (d) $72.8\%$

If x+1, 3x and 4x+2 are in A.P., find the value of x.

From a well - Shuffled deck of 52 cards, one card one card is drawn at random. What is the probability of gettinga queen
(a) $\frac{1}{13}$ (b) $\frac{1}{26}$ (c) $\frac{4}{39}$ (d) None of these

Find the area of the sector of a circle of radius 5 cm, if the corresponding arc length is 3.5 cm.

If $\alpha ,\beta ,\gamma$ are the zeros of the polynomial $2x^3+x^2-13x+6$ then $\alpha \beta \gamma =?$

(a) -3 (b) 3 (c) $\frac{-1}{2}$ (d) $\frac{-13}{2}$

Red queens and black jacks are removed from a pack of 52 playing cards. A cards is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is

(i) a king (ii) of red colour (iii) a face card (iv) a queen

Solve for x and y:

$\frac{1}{2(3x+y)}+\frac{5}{3(3x-y)}=\frac{-3}{2}\frac{5}{4(x+2y)}-\frac{3}{5(3x-2y)}=\frac{61}{60}.$

Find the median wages for the following frequency distribution: $\begin{array}{ccccccc}\text{Wages per day}& 61-70& 71-80& 81-90& 91-100& 101-110& 111-120\\ \text{(in Rs.)}& & & & & & \\ \text{No. of women}& 5& 15& 20& 30& 20& 8\\ \text{workers}& & & & & & \end{array}$

Is 2/root3 a rational or irrational number.

When $x^9-a^9$ is divided by $x-a$ then the remainder is

Prove that: $\frac{tan\theta }{sec\theta -1}$ - $\frac{tan\theta }{sec\theta +1}$ = 2$cot\theta$

Mrs Mathew opened a Recurring Deposit Account in a certain bank and deposited ₹ 640 per month for 4.5 years. Find the maturity value of this account, if the bank pays interest at the rate of 12% per year.

In the given figure, ABCD is a rectangle, OB is the radius, PB is the tangent at point B and $\angle OBC={30}^{\circ }$. Then, the value of x is___.

If $sinA=\frac{3}{4}$, then, cos A = x, and tan A = y, which of the following will be correct?

Find the first term of the AP given that the n^th term is a and the sum to first n terms is b

Points A and B have co-ordinates (3, 4) and (0, 2) respectively. Find the image :

(a) A' of A under reflection in the x-axis.

(b) B' of B under reflection in the line AA".

(c) A" of A under reflection in the y-axis.

(d) B" of B under reflection in the line AA".

Without solving the following quadratic equation, find ‘’ for which the roots are equal.

² – 4 + 3 = 0

find the value of $9x-3x^2+5$ at x = 2

Sin48.sec42+cos48.cosec42= ........

Find the next two terms of the series :

2 - 6 + 18 - 54 .......................... .

Find $x$ if $2x,x+10,3x+2$ are the consecutive terms in an AP.

The numerator of a fraction is 4 less than the denominator. If the numerator is decreased by 2 and the denominator is increased by 1 then the denominator is 8 times the numerator.find the fraction

If $5^{th}$ and $6^{th}$ terms of an A. P are respectively 6 and 5 , find the ${11}^{th}$ term of the A. P.

Given that

Triangle 1: 3 cm, 3 cm, 4 cm

Triangle 2: 6 cm, 6 cm, 8 cm

Triangle 3: 12 cm, 12 cm, 16 cm

Triangle 4: 24 cm, 24 cm, 32 cm

If Triangle 1 is the original triangle, what scale factor is used to generate Triangle 2, Triangle 3, and Triangle 4 from Triangle 1?

If sin3A=cos4A then find the value of 7A?

A line which intersects a circle at 2 distinct points is called a

A fruit seller buys bananas at 2 for a rupee and sells them at 5 for three rupees. His profit per cent is:

If the Market Value of a share is equal to the Nominal Value, the share is said to be at _______.

How many four digit numbers are there such that when they are divided by 101 they have 99 as remainder?

A number is selected from the first 25 natural numbers. What is the probability that it would be divisible by 4 or 7 ?

a) Write down the coordinates of the point P that divides the line joining A (-4, 1) and B (17, 10) in the ratio 1:2.

b) Calculate the distance OP were O is the origin

c) Find coordinates of centroid of ∆ OAB