Explore topic-wise InterviewSolutions in Current Affairs.

Dividend = (divisor $\times$__) + Remainder

A two digit number is such that the product of its digits is 28. When 112 is subtracted from the number, the digits interchange their places. Find the second degree equation in x from which we can find tens digit.

In the given figure the measure of side DC is ___ .

A railway half ticket cost half the full fare and the reservation charge is the same on half ticket as on full ticket.One reserved first class ticket from Mumbai to Delhi costs Rs.4150 while one full and one half reserved first class tickets cost Rs.6255.What is the basic first class full fare and what is the reservation charge?

The hypotenuse of a right-angled triangle is 65 cm and its base is 60 cm. Find the length of perpendicular and the area of the triangle.

Draw a circle of radius 3 cm. From a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.

Evaluate each of the following

cos${60}^{\circ }$ cos${45}^{\circ }$ - sin ${60}^{\circ }$ sin ${45}^{\circ }$

The window shown in the shape of a semi-circle with radius 4 ft. The distance from S to T is 2 ft and the measure of $\widehat{AB}={45}^{\circ }$. Area of glass in the region ABCD is

300 apples are distributed equally among a certain number of students. Had there been 10 more students, each would hace received one apple less. Find the number of students.

Check whether (2 + x) is a factor of 3$x^3$ + 7x +19.

Find the volume and surface area of a cone with diameter 8 cm and height 8 cm.

What is empty set?

AB is the diameter of the circle with centre O. P is a point on the circle such that $PA=2PB.$ If $AB=d,$ find BP.

The point (4, 1) and (- 2, 4) are reflected in the line y = 3. Find the coordinates of their images.

Find the value of k if PQ and RS are parallel, given P(1, 2), Q(4,5) and R(3, 4), S(8, k).

Kanika was given her pocket money on January 1st 2008 she put Rupees 1 on day 1, 2 on Day 2 and rupees 3 on day 3, and continue doing so till the end of the month from this money into her piggy bank, also spend rupees 204 of a pocket money and at the end of the month that she still had rupees hundred with her. How much was her pocket money for the month ?

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. Painter takes Rs. 40 per metre square to paint the cylindrical container. Find the inner curved surface area of the vessel.(in $m^2$)

In the given figure, find TP if AT = 16 cm and AB = 12 cm.

Vignesh was born in the month of October of a particular year. What is the probability that he was born on a Sunday?

In the given figure, two circles touch each other externally at point $P$. $AB$ is the direct common tangent of these circles. Prove that :

(i) tangent at point $P$ bisects $AB$,

(ii) angle $APB=$ ${90}^{\circ }$.

If 2 lies between the roots of quadratic equation $x^2$ - ax + a = 0, then ;

The following distribution represents the height of 160 students of some school.

$\begin{array}{cc}Height\left(incm\right)& Numberofstudents\\ 140-145& 12\\ 145-150& 20\\ 150-155& 30\\ 155-160& 38\\ 160-165& 24\\ 165-170& 16\\ 170-175& 12\\ 175-180& 8\end{array}$

Draw an ogive for the given distribution taking 2 cm = 5 cm of height on one axis and 2 cm = 20 students on the other axis. Using the graph, determine the median height.

$Inthefigure,AB\parallel DC,Area(△AOD)=8c{m}^{2}andArea(△BCD)=14c{m}^2.Calculate:Area(△OCD)$

A coin is tossed two times. If the outcome head(H) is assigned the value 2 and tail(T) is assigned the value 1, what is the probability of obtaining the product of the values of the two tosses as a prime number?

1. 40

In which of the following cases of taxation, the tax line moves upwards?

The top of a $15m$ high tower makes an angle of depression of ${60}^{\circ }$ with the bottom of an electronic pole and angle of depression of ${30}^{\circ }$ with the top of the pole. What is the height of the electric pole?

In the figure P , Q and R are the points where the incircle of $△ABC$ touches the sides :

Using the information given , $\angle RQP$ = ____

In the given figure, AB and CD are diameters of the circle and AC=4 cm and $\angle DPB={45}^{\circ }$

Find the radius if the circle.

The area of an equilateral triangle is 4 $\sqrt{3}c{m}^2$. Its perimeter is

(a) 9 cm (b) 12 cm (c) 12$\sqrt{3}$ cm (d) 6$\sqrt{3}$ cm

If A (3, y) is equidistant from points P (8, -3) and Q (7, 6), find the value of y and find the distance AQ.

A two-digit number is 3 more than 4 times the sum of its digits..If 18 is added to the number,the digits are reversed.Find the number.

If D $(\frac{-1}{5},\frac{5}{2})$, E (7, 3) and F $\frac{7}{2},\frac{7}{2}$ are the mid points of sides of $△ABC$, find the area of $△ABC$.

Solve the following system of equations graphically:

Shade the region between the lines and the y-axis

(i) 3x - 4y = 7

5x + 2y = 3

(ii) 4x - y = 4

3x + 2y = 14

If sum of the zeroes of the polynomial is 4 and their product is 4, then the quadratic polynomial is

Prove that the points A(a,0),B(0,b) and C(1,1) are collinear, if $\frac{1}{a}+\frac{1}{b}=1$.

The sum of first q terms of an AP is $(63q-3q^2)$. If its pth term is - 60, find the value of p. Also, find the 11th term of its AP.

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system:

2x - y = 2

4x - y = 8

Write the equation y = 3x + 2 in the form ax + by + c = 0, and indicate the value of a b and c

If the point P(p, q) is equidistant from the points A(a+b, b-a) and B(a-b, a+b), then $\frac{p}{q}$ = ___

Mrs. Rita deposits ₹1600 every month in recurring deposit account at 9% p.a. simple interest. She receives ₹65,592 at the time of maturity. What is the total time for which the account was held?

If a and d are the first term and the common difference of an AP, $S_n$ denotes the sum to n terms of an AP. If $S_n=Pn+Q{n}^2$, what are P and Q?