Explore topic-wise InterviewSolutions in Current Affairs.

A car is provided with 2 non overlapping wipers. The structure of each wiper is as shown in the figure. The brown blade actually wipes the glass sweeping through an angle of ${120}^{\circ }$. If the length of the wiper is 35 cm and length of the blade is 28 cm, find the total area(in $c{m}^2$) cleaned for each sweep.

Kiran purchases an article for ₹ 5400 which includes 10 % rebate on the marked price and 20 % sales tax on the remaining price. Find the marked price of the article .

Please solve" x^2 -7x+6 " by quadratic formula.

How are banks extending loans to the public?

The sides of an equilateral triangle are (6x+5y)cm, (7x+3y+1)cm, 2(x+6y-1) cm . find the length of each side

The mean of five numbers is 28. If one of the numbers is excluded, the mean gets reduced by 2. Find the excluded number.

In the figure, if PQ=QR and PS is perpendicular to RS, then$P{Q}^2$ equals:

A debt whose principal amount is not refunded by the government but only the interest amount is to be paid regularly is called

A jeweller has bars of 18 carat gold and 12 carat gold. How much of each must be melted together to obtain a bar of 16 carat gold weighing 120 grams?(Pure gold is 24 carat)

In the given figure, ${60}^{\circ }$
ABCD is a cyclic quadrilateral.
O is the center of the circle.
If $\angle BOD={160}^{\circ }findtheMeasureof\angle BPD.$

If $sin\left(\theta \right)+cos\left(\theta \right)=pandsec\left(\theta \right)+cosec\left(\theta \right)=q$, then $q(p^2–1)$ is equal to

A number from 1 to 10 is chosen at random. What is the probability of choosing 5 or an even number?

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 $\angle ADC.$

If the volume of a hemisphere is $144\pi c{m}^3,$ then, its radius will be .

The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30^o. The distance of the car from the base of the tower (in m.) is:

The reduced form of $\frac{6x^2-54}{x^2+7x+12}$ is .

Two towers are 40m apart. The angle of elevation of the top of the taller tower from the base and top of the shorter tower is ${70}^{\circ }$ and ${40}^{\circ }$ respectively. The height of the shorter tower is $[Tan{40}^{\circ }=0.83,Tan{70}^{\circ }=2.74]$

An open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet (see Fig.). The diameters of the two circular ends of the bucket are 45 cm and 25 cm, the total vertical height of the bucket is 40 cm and that of the cylindrical base is 6 cm. Find the area of the metallic sheet used to make the bucket, where we do not take into account the handle of the bucket. Also, find the volume of water the bucket can hold. (Take $\pi =\frac{22}{7}$) [4 MARKS]

If a, b, c > 0 are in G.P., then find the value of $cos\theta .$

1. -1.25

A line segment AB intersects a circle at two distinct points C and D as it passes through its centre, as shown in the figure. The line, whose segment is AB, is:

Determine the ratio in which 3 + y – 9 = 0 divides the line segment joining the points (1 , 3) & (2 , 7).

What was the day of the week on 17^thJune, 1998?

Find the range of values of x which satisfies $-2\frac{2}{3}\le x+\frac{1}{3}<3\frac{1}{3},x\in R$.

The line $ax+by=ab$, will meet the y- axis at _____.

Which of the following is defined?

A line AB is divided internally at P(4, -8) in the ratio 2 : 3 & at Q(0, -10) in the ratio 3 : 2. Find A & B.

The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm, and the other dimensions are as shown.

Then, select the statements that are true.

A, B, C, D, E, F, G and H are sitting around a circle facing at the centre. B is second to the right of H and third to the left of A. D is not an immediate neighbour of either B or H and is second to the right of F. C is fourth to the right of G.

Who is third to the right of E?

If the point (x, y) is equidistant from the points (a + b, b - a) and (a - b, a + b), then which of the following is correct?

Probability of getting a 3 or 6 in the rolling of an unbiased die is ______

cosec θ is

The probability of guessing the correct answer to certain test questions is $\frac{y}{4}$. If the probability of not guessing the correct answer to these questions is $\frac{3}{4}$, then the value of y is:

In the given figure $△ABC$ is equilateral. If IB = 6 cm , then IE = ____.

If the radius of the base of a cylinder is doubled and the height remains unchanged, its curved surface area becomes

A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 metres from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is ${60}^{\circ }$. After some time, the angle of elevation reduces to ${30}^{\circ }$. Find the distance travelled by the balloon during the interval.

Solving $\frac{5}{2+x}$ + $\frac{1}{y-4}$ = 2; $\frac{6}{2+x}$ - $\frac{3}{y-4}$ = 1,
we get
x = ___

It is Samaira's birthday, she has bought chocolates for all her 40 classmates, and each student has been given a position to sit which is labeled from 1 to 40. She has bought two kinds of chocolates, one Dairy Milk and the other Munch. She gives Dairy Milk to those who are at the seats labelled a prime number. How many children will get Dairy Milk chocolates?

If the points (k,2-2k), (1-k, 2k) and (-k-4, 6-2k) are collinear, possible values of k are ..............

BL and CM are medians of a triangle ABC right angled at A. Prove that $B{L}^2+C{M}^2=kB{C}^2$ and find the value of k.