Explore topic-wise InterviewSolutions in Current Affairs.

A road $3.5m$ wide surrounds a circular plot whose circumference is $44m.$ find the cost of paving the road at $Rs.50$ per $m^2.$

Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is π = c/d. This seems to contradict the fact that π is irrational. How can one resolve this contradiction?

If x=√3+√2/√3-√2 and y=1,then x-y/x-3y is

I. 4$x^2$ = 49
II. 9$y^2$ - 66y + 121 = 0

From a square cardboard of side 20 cm, a circle of maximum area is cut off. What is the area of the cardboard left out after removing the circle cut off? (Take $\pi =3.14$)

If sin θ is positive, then θ lies in the quadrants

A point on the y-axis, whose distances from the points A(6,7) and B(4, -3) are in the ratio 1 : 2 is__________.

What will be the simple interest on a sum of Rs 2600 from May12, 2017 to May 12, 2018 at 8.5% rate?

If you take a one-dimensional line and move it around in space, it creates a two-dimensional shape. If the size of a line indicates its length, what should the size of a shape indicate?

The Volume of a sphere of radius 4.2 cm is

Three circles each of radius 3.5 cm are drawn in such a way that each of them touches the other two . Find the area enclosed between these circles.

(5-y)²

By formula (x-y)²

There is a square park in the society. What is the cost of laying bricks in the field at Rs. 10 / m². Length of 1 side is 7 m.

The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper class limit of the highest class is

If $5^{-p}=4^{-q}={20}^r$, then $\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=$

In Indus Valley Civilization (about BC 3000),the bricks used for construction work were having dimensions in the ratio of

(a) 5:3:2

(b) 4:2:1

(c) 4:3:2

(d) 6:4:2

Find the amount and the compound interest on Rs. 12,000 in 3 years at 5%; interest being compounded annually.

Find the volume of triangular prism whose base area is $20c{m}^2$ and height is 15 cm.

In the adjoining figure, ABCD is trapezium in which CD || AB and its diagonals intersect at O. If AO = (5x - 7) cm, OC = (2x + 1) cm, DO = (7x - 5) cm and OB = (7x + 1) cm, find the value of x.

Division of $8\sqrt{15}$ by $2\sqrt{3}$ is

In an equilateral triangle ABC , match the following ratios to the values

$$\begin{array}{cc}Trignometricratios& Values\\ \left(i\right)tan{60}^{\circ }& \left(a\right)\frac{1}{\sqrt{3}}\\ \left(ii\right)cot{30}^{\circ }& \left(b\right)\sqrt{3}\\ \left(iii\right)cosec{30}^{\circ }& \left(c\right)2\\ \left(iv\right)sec{30}^{\circ }& \left(d\right)\frac{2}{\sqrt{3}}\end{array}$$

Find remainder when x³ + 1 is divided by x + 1

On the sides AB and AC of triangle ABC, equilateral triangles ABD and ACE are drawn.

Prove that: (i) $\angle$ CAD = $\angle$ BAE

(ii) CD = BE.

Peptide bond between two amino acids is formed by __(i)__ reaction which releases __(ii)__ and forms __(iii)__.

Question 78

In the given figure, area of $\Delta AFB$ is equal to the area of parallelogram ABCD. If altitude EF is 16 cm long, find the altitude of the parallelogram to the base AB of length 10 cm. What is the area of $\Delta DAO$, where O is the mid-point of DC?

In the given figure, ABCD is a ||gm and E is the midpoint of BC. Also, DE and All when produced meet at F. Then,

(a) $AF=\frac{3}{2}AB$

(b) AF = 2AB

(c) AF = 3AB

(d) $A{F}^2=2A{B}^2$

If there are two equivalent fractions, their simplest forms will be __.

Find the measure of each exterior angle of an equilateral triangle.

$\text{How many persons can be accoummodated in a dining hall of dimensions}(20m\times 16m\times 4.5m),\text{assuming thatg each person requires 5 cubic metres of air ?}$

In the given figure, POQ is a diameter and PQRS is a cyclic quadrilateral. If $\angle PSR={150}^{\circ },\text{find}\angle RPQ$.

If a + b = 10 and ab = 21, find the value of $a^3+b^3$.

Verify:
(i) $x^3+y^3=(x+y)(x^2-xy+y^2)$
(ii) $x^3-y^3=(x-y)(x^2+xy+y^2)$

A table marked at Rs.15000 is available for Rs.14400. What is the percentage of discount?

If 10, 13, 15, 18, x+1, x+3, 30, 32, 35, 41 are ten observations in an ascending order with median 24, find the value of x.

The angles of a quadrilateral are in the ratio 1:2:3:4. Find all the angles of the quadrilateral. [3 MARKS]

A cylinder and a cone have equal radii of their bases and equal heights.If their curved surface areas are in the ratio 8:5,show that the radius of each is to the height of each as 3:4.

ABCD is a square, X and Y are points on sides AD and BC respectively such tht AY = BX, Prove that BY = AX and $\angle BAY=\angle ABX.$

In the figure, $\Delta ABC$ is an equilateral triangle. Find m$\angle BEC$.

1. 1

A cube of side 4 cm, contains a sphere touching its sides. Find the volume of the gap in between.

1. undefined
2. undefined
3. undefined
4. undefined

The coefficient of $x^n$ in the product $(1-x)(1-2x)(1-2^2.x)(1-2^3.x)...(1-2^n.x)$ is equal

There are 3 points which are collinear and a separate 4th point. Which figures can be formed by these 4 points?

How many lines can be drawn from a single point ?