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The pillars of the temple are cylindrically shaped. Each pillar has a circular base of radius $20cm$ and height $10m$. How much concrete mixture would be required to build $14$ such pillars?

If the volumes of two cones are in the ratio $1:4$ and their diameters are in the ratio $4:5,$ then the ratio of their heights, is

Refer the figure below and answer the questions that follow.

What is the point of intersection of line l with X - axis?

$\text{In the given figure, side BC of}\Delta ABC\text{is produced to D.If}\angle ACD={128}^{\circ }and\angle ABC={43}^{\circ },find\angle BACand\angle ACB.$

In $△\text{ABC}$, AB=8 cm, $\angle A={45}^{\circ }$, $\angle B={60}^{\circ }$.
Find the area of the triangle.

Two supplementary angles differ by 34${}^{\circ }$. Find the angles.

Represent 32.73737373737373…… in a rational form.

The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio $\frac{BX}{AB}$.

Insert five irrational numbers between $2\sqrt{5}$ and $3\sqrt{3}$.

Solve

13x + 11y = 70

11x + 13y = 74

Choose the limits of the inverse tangent function.

Match the two columns
$\begin{array}{cc}Column-I& Column-II\\ \text{(A) The class mark of the class interval}& \text{(p) 13}\\ 145-150is& \\ \text{(B) In a frequency distribution, the mid – value of a}& \text{(q) 110}\\ \text{class is 10 and width of each class is 6. The upper}& \\ \text{limit of the class is}& \\ \text{(C) The mean of eight numbers is 40. If one}& \text{(r) 22.5 – 27.5}\\ \text{number is excluded, their mean becomes 30.}& \\ \text{The excluded number is}& \\ \text{(D) The class marks of a frequency distribution are}& \left(s\right)147.5\\ 15,20,25,30,\dots \dots \text{The class corresponding to the class}& \\ \text{mark 25 is}& \end{array}$

Choose the correct option:

In the given figure, O is the centre of a circle and $\angle ACB={30}^{\circ }.\text{Then,}\angle AOB=?$

(a) ${30}^{\circ }$

(b) ${15}^{\circ }$

(c) ${60}^{\circ }$

(d) ${90}^{\circ }$

(i) Given two points P and Q, find how many lines segments do they determine.
(ii) Name the lines segments determined by the three collinear points P, Q and R.

If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ______ .

If ABC and DEF are two triangles such that $AC=2.5cm,BC=5cm,\angle C={75}^{\circ },DE=2.5cm,DF=5cm,\angle D={75}^{\circ }.$

Are two triangles congruent?

Question 9

To stitch a shirt 2m 15cm cloth is needed. Out of 40m cloth, how many shirts can be stitched and how much cloth will remain?

The radius and the height of a right circular cone are in the ratio 5:12.If its volume is 2512 cubic cm,find the slant height and radius $(Use\pi =3.14)$

A coin is tossed 1000 times, if the probability of getting a tail is $\frac{3}{8}$ , how many times head is obtained?

In the given figure, ABCD is a cyclic quadrliateral in which AE is drawn parallel to CD, and BA is produced to F. If $\angle ABC={92}^{\circ }and\angle FAE={20}^{\circ },\text{find}\angle BCD.$

Two steel sheets each of length $a_1$ and breadth $a_2$ are used to prepare the surfaces of two right circular cylinders - one having volume $v_1$ and height a_2 and other having volume $v_2$ and height $a_1$. Then, (a) $v_1=v_2$ (b) $a_1{v}_1=a_1{v}_2$

(c) $a_1{v}_1=a_1{v}_2$ (d) $\frac{v_1}{a_1}=\frac{v_2}{a_2}$

Teh diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.

ABCD is a parallelogram in which BC is produced to P such that CP=BC,as shown in the adjoining figure.AP intersects CD at M.If ar(DMB)=7 $c{m}^2$,find the area of parallelogram ABCD.

The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find the area of the triangle and the height corresponding to the longest side.

On constructing a triangle ABC, with AB = 5.6 cm, AC = BC = 9.2 cm, the distance between the points which are both equidistant from AB and AC and also 2 cm from BC is

The length of a cuboid is $0.3m$. Its breadth and height is $0.03m$ and $0.003m$ respectively. The volume of the cuboid is given as the product of its length, breadth and height. The volume of cuboid is:

A rabbit covers y metres distance by walking 10 metres in slow motion and the remaining by x
jumps, each jump contains 2 metres. Express this information in linear equation.

A circle has radius 2 cm. What is the length of its longest chord?

Question 125 (i)

If '*' is an operation have, such that for integers a and b. We have
$a\ast b=a\times b+(a\times a+b\times b),$ then find
$(-3)\ast (-5)$

How many minimum number of points are required to draw a single line ?

There are 500 packets in a large box and each packet contains 4 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as given below :

$\begin{array}{ccccccc}\text{No of faulty devices in a packet}& 0& 1& 2& 3& 4& \text{Total number of packets}\\ \text{Number of packets}& 300& 100& 50& 30& 20& 500\end{array}$

(i) If a buyer will only tolerate the maximum of one faulty piece in a packet, what is the probability that a packet will be rejected by him?

(ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]

Two supplementary angles differ by ${48}^{\circ }$. Find the angles.

Sum of any two sides of a triangle is __than the third side.

How many lines can be drawn from a single point ?

If the adjacent angles of a cyclic quadrilateral are ${40}^{\circ }$ and $100\circ$ then find all the other angles of the cyclic quadrilateral.

Find the area of the parallelogram in which $AD=5cm,DE=3cm$ and $AB=10cm$. [$AE$ is the height of the parallelogram]

The radius of the circumcircle of a right-angled triangle is 5 cm and the perpendicular distance of the hypotneuse from its opposite vertex is 4 cm. Find the area of the triangle.

Dear Sir,

Pls. help me with the below question.

Factorise: (x-1/x)^2+3(x-1/x)+2

The sides AB, CA and AB of triangle ABCare produced in order to form exterior angles ACD, FBA,and angle CAE then angle ACD+CAE+ABF is

The ratio between the rise in temperature with altitude in the troposphere is -

Two players, Anand and Vishwa are playing a tennis match. The probability of Vishwa winning the match is 0.75. What is the probability of Anand winning the match?

Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be