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The pillars of an apartment are cylindrical in shape. If each pillar has a circular base of radius 40 cm and height 20 m, then find the volume of 7 such pillars.

What is the value of (a + b) (a – b)?

$2m$ wide path is built along the border of a square garden of side $11m.$ The area of the path is ___$m^2$.

Question 2
Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.

In $\Delta$ABC, if DE divides AB and AC in the same ratio, then which of the following options is true?

Find the value of ${(\sqrt{3}+\sqrt{7})}^2$. Is it rational? [4 MARKS]

In the figure shown, the segment CEDC is called the ___ segment.

One of the linear factors of

For the given linear equation y - 3x + 1 = 0, what are the values of y for x = [3,-4,2]?

The taxi charges in a city consists of a fixed charge along with the charge for the distance covered. For a distance of 10 km, the charge paid is ₹105 and for a journey of 15 km, the charge paid is ₹155. What are the fixed charges and the charge per km? How much does a person have to pay for traveling a distance of 25 km?

Which among the following is/are hermitian matrix

Construct right triangle whose one side is 3.5cm and the sum of the other side and the hypotenuse is 5.5cm.

Question 2
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? $(1m^3=1000l)$

If $\frac{9^n\times 3^2\times \left(3\frac{n}{2}\right)-(27{)}^n}{3^{3m}\times 2^3}=\frac{1}{27}$ then m =

In a circle of radius 17 cm, two parallel chords are drawn on opposite side of a diameter. This distance between the chords is 23 cm. If the length of one chord is 16 cm then the length of the other is

If two parallel lines are intersected by a transversal then the bisectors of the interior angles form a :

When an article is sold for Rs. 696, percent profit earned was P%. When the same article was sold for Rs.841, percent profit earned was (P+25%). What is the value of P?

9/x - 4/y= 8 and 13/x + 7/y=101

How many least number of distinct points determine a unique plane?

x + 2y = 5 and 4x + 4y - 6 = 0 are two linear equations whose graphical lines meet at point (-2, 3.5). The pair of equations is:

In the figure given below AB, CD, and EF are parallel lines. Given AB = 9 cm, DC = y cm, EF = 4.5 cm, BC = x cm, and CE = 3 cm. The value of 'x' and 'y' are:

A pair of angles is called linear pair if sum of two adjacent angles is:

Lines PQ and RS intersect at O. If$\angle POR:\angle ROQ=5:7$. Then $\angle POS$ =

The greatest four digit number which is divisible by 15, 25, 40 and 75 is

Which of the following is not true regarding A.P?

What is the factorised form of 3x - 12?

In the adjoining figure, AOB is a straight line. Find the value of x. Hence, find $\angle AOC,\angle COD$ and $\angle BOD$.

$\text{A cone and a hemisphere and a cylinder stand on equal bases and have the same height.The ratio of their volumes is}\left(a\right)1:2:3\left(b\right)2:1:3\left(c\right)2:3:1\left(d\right)3:2:1$

In the given figure, AD is a median of ABC and E is the midpoint of AD. If BE is joined and produced to meet AC in F then AF = ? (a) 2AC (b) A.AC (c) 3 AC (d) 4 AC

The area swept by the minute hand of a circular clock in 5 minutes forms a

The arithmetic mean and mode of a data are 24 and 12 respectively, then find the median of the data.

A dice is rolled $600$ times and the occurrence of the outcomes $1,2,3,4,5$ and $6$ are given below:

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 200& 30& 120& 100& 50& 100\end{array}$

The probability of getting a prime number is ?

Which of the following figures lie on the same base and between the same parallels.In such a case,write the common base and the two parallels.

Factorise
$7a^3+56b^3$

Two straight lines AB and CD cut each other at O. If $\angle BOD={63}^0$, then $\angle BOC$

Use suitable identities to find the following product: (3 – 2x) (3 + 2x)

If a + b + c = 9 and ab + bc + ca = 23, find the value of $a^2+b^2+c^2$.

How many arcs are drawn during the entire procedure for the construction method of Triangle Construction 3?

The chapter name is introduction to Euclid's geometry . Explain the axiom - ' thing which are equal to the same thing are equal to one another '

An amount of Rs. 12000 is invested for 1.5 years which will be compounded half yearly at a rate of 5%. Find the final amount after one and a half years?

Anmol was cutting a piece of paper with a pair of scissors. She observed that as she increased the angle of the scissors, the angles created in the opposite arms(vertically opposite angle) ___.

The sides of a triangle are in the ratio $1:2:2$ and its perimeter is $500m$. The area of the triangle in $m^2$ is:

Find the factors of $x^3+2x^2+2x+1$

Verify whether the following are zeros of the polynomial, indicated against them.

1.. P(x) = 3x + 1, x=1/3

2.. p(y) = (x+1)(x+2), x= -2

explain how to solve these questions

If two adjacent sides of a parallelogram are 11cm and 15 cm and one of its diagonals is 16 cm, then find the area of the parallelogram

Given that AB || CD, intersected by a transversal, if the complement of ∠5 equals the supplement of ∠4, then the measures of ∠4 and ∠5 are

The value of ${\left[\frac{256x^{16}}{81y^4}\right]}^{-\frac{1}{4}}$

(a)$\frac{3y}{8x^4}$ (b)$\frac{3y}{4x^4}$ (c)$\frac{4y}{5x^4}$ (d)$\frac{4x^4}{3y}$