Explore topic-wise InterviewSolutions in Current Affairs.

A and B each have a certain number of mangoes. A says to B, "If you give 30 of your mangoes, I will have twice as many as left with you." B replies, "If you give me 10, I will have thrice as many as let with you." How many mangoes does each have?

The marked price of an A.C is Rs. 40000. The shopkeeper gives a discount of 8% on marked price. Then, calculate the amount customer has to pay if the sales tax of 8% is charged to the customer.

Prove the following:
$(1+\cot \theta -cosec\theta )(1+\tan \theta +\sec \theta )=2$

A tank has a capacity of $3584m^3$ that is used by 4 families. If each family uses 4 buckets of water every day, and the volume of the bucket is $16m^3$, then the water in the tank will last for how many weeks?

In the given figure, ABCD is a trapezium in which
(i) AB || CD
(ii) $\frac{AO}{OC}=\frac{BO}{OD}=\frac{1}{2}$
(iii) AB = 5 cm

Find the value of CD .

The areas of two similar triangles are 12 $c{m}^2$ and 48 $c{m}^2$. If the height of the smaller triangle is 2.1 $cm$, then the corresponding height of the bigger triangle is _____.

If $sin(B+C)=\frac{\sqrt{3}}{2}$ and$sinA=\frac{1}{2}$, find $B+C$and$A$.

The ages of A and B are in the ratio 3: 1. After fifteen years, the ratio will be 2: 1. Their present ages are ____________

There is a circle with radius 6 cm. A chord is drawn in it. Find the angle subtended by the minor segment of the chord at the centre of the circle if the area of segment is 22.1 ${cm}^2$.

A restaurant POQR is being constructed in the middle of a circular lake. The circle, which has its center at O is touching the mid-points of the boundary ABCD as shown in the figure. If AB = CD and AD = BC, then

Quadrilateral ABCD can be

In a school 5/8 of the total are girls. If the number of girls is 120 more than that of boys , what is the strength of the school? How many boys are there ?

The locus of a point which is equidistant from two concentric circles is the ___ concentric with the given circles.

Find p(0), p(1) and p(2) for each of the following polynomials:
$1\left)p\right(y)=y^2-y+1$
$2\left)p\right(t)=2+t+2t^2-t^3$ [4 MARKS]

The number which should be added to 2, 14 and 62 so that the resulting numbers are in G.P. is ___.

Which of the following option is correct?

S1 : Total surface area of a cuboid is the sum of areas of 4 faces excluding top and bottom faces.

S2 : Lateral surface area of a cuboid is the sum of areas of 4 faces excluding top and bottom faces.

S3 : Area of a face of a cuboid is of the form xy, where x and y are length and breadth respectively.

The relation between $x\text{and}y$ such that the point P $(x,y)$ is equidistant from the points (7, 1) and (3, 5) is .

The average rainfall for a week excluding Sunday was 0.5 cm. Due to heavy rainfall on Sunday, the average for the week rose to 1.5 cm. The rainfall on Sunday was:

A 6 feet tall man finds an apple on the ground $6\sqrt{3}$ feet away from him. What is the angle of depression when he is looking at the apple

Complete the following sentence : "Mode is the _________".

Is 2sin thita = sin 2thita?

Find the value of a, if (3,5) is a solution of 3y = ax + 9.

Express $(sin{75}^{\circ }+cosec{75}^{\circ })$ in terms of trigonometric ratios of angles between $0^{\circ }$ and ${15}^{\circ }.$

If the coordinates of a triangle are A(2,1), B(6,1), C(6,5) then find the length of AB.

If $\alpha ,\beta ,\gamma$ are the zeroes of the cubic polynomial a$x^3$+b$x^2$+cx+d = 0, then $\alpha +\beta +\gamma$ equal to:

Draw 2 concentric circles of radii 3cm and 5cm. Draw tangents to the inner circle from any point on the outer circle. Measure the length of the tangent. [4 MARKS]

Express the HCF of 468 and 222 as 468x + 222y where x, y are integers in two different ways.

Find a quadratic polynimial whose zeroes are 3 and -4

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

Ram has Rs. 500 in a savings account at the beginning of a year. He wants to have at least Rs.200 in his account by the end of the year. He withdraws Rs. 25 each week for his needs. For how many weeks can he withdraw?

A number x is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3, the probability that |x| < 2 is

Order of matrix A is 3 $\times$ 5 and that of B is 2 $\times$ 3. Then then order of the matrix BA is

Find the greatest six digit number exactly divisible by $24,15$ and $36$

Express 11 as a linear combination of 1650 and 847.

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

The points A(6,1), B(8,2), C(9,4) and D(7,3) ate the vertices of a parallelogram. Find the lenght and te altitude of the parallelogram on the base AB.

Which are the empty sets ? Justify your answers

1) set of odd numbers that leave remainder zero,when divided by 2.

2)set of integers which lie between 2 and 3.

The scale of a map is 1:200000. A plot of land of area 20 $k{m}^2$ is to be represented on the map. Find the area on the map that represents the plot of land.

Calculate the ratio in which the line joining the points (-3,-1) and (5, 7) is divided by the line x = 2. Also, find the co-ordinates of the point of intersection.

Which of the following is the measurement of percentage change in quantity demanded due to a percentage change in the price of a good?

If the pair of equation has no solution, then the pair of equation is :