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For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Median of data is 14 .what is the median of the data if each observation is multiplied by 2 and why?

Everyday Rohan rides his bicycle as part of his exercise. While travelling at a constant rate, he rides 5 miles in 25 minutes. At this rate , how long would it take Rohan to cycle 10 miles ?

Let $A$ and $B$ be sets and let $A^c$ and $B^c$ denote the complements of the sets $A$ and $B$. The set $(A-B)\cup (B-A)\cup (A\cap B)$ is equal to

Which of the following measurements will help us to construct a rhombus given one side ?

$A,B$ and $C$ are three points on a circle with centre $O$ such that $\angle BOC$ is equal to ${30}^{\circ }$ and $\angle AOB$ is equal to ${60}^{\circ }$. If $D$ is another point on the circle other than the arc $ABC$ find $\angle ADC$.

Following are the observations made by ram 7, 7, 7, 7, 7, x. If the range of the given observations is 0, then what is the value of x.

Find the slope (m) and y - intercept (c) of the line y = -x.

Factorise:

(i) x³ − 2x² − x + 2 (ii) x³ + 3x² −9x − 5

(iii) x³ + 13x² + 32x + 20 (iv) 2y³ + y² − 2y − 1

The number of subsets of A = {1, 2, 3,4} is _____.

Find the number of significant figures in the given data
$\begin{array}{cc}\text{P)}0.543& \text{U)}3\\ \text{Q)}4.330& \text{V) 4}\\ \text{R)}1.32\times {10}^{-2}& \text{W)}5\\ \text{S)}0.002& \text{X)}1\end{array}$

Factorize

(2x+y)³+(z-y)³-(z+2x)³

Solve the following equations:

$\left(i\right)3^{x+1}=27\times 3^4\left(ii\right)4^{2x}=(\sqrt[3]{316}{)}^{\frac{-6}{y}}=(\sqrt{8}{)}^2\left(iii\right)3^{x-1}\times 5^{2y-3}=225\left(iv\right)8^{x+1}={16}^{y+2}and{\left(\frac{1}{2}\right)}^{3+x}={\left(\frac{1}{4}\right)}^{3y}\left(v\right)4^{x-1}\times (0.5{)}^{3-2x}={\left(\frac{1}{8}\right)}^x(vi)\sqrt{\frac{a}{b}}={\left(\frac{b}{a}\right)}^{1-2x},wherea,baredistinctpositiveprimes.$

Compute the perimeter of the circles shown below, correct to a millimetre.

(i)

(ii)

(iii)

(iv)

Identify the figure in which all the points could be collinear.

Three times the age of Rama is 15.

Which of the following equations represents the given stament mathematically?

(Assume the age of Rama to be '$x$')

The cost of constructing a wall 8 m long, 4 m high and 20 cm thick at the rate of Rs 25 per $m^3$ is

Question 119 (viii)

Write two integers which are smaller than - 6 but their difference is greater than - 6.

Fill in the blanks.

(i) Probability of an impossible event = ___

(ii) Probability of a sure event = ___

(iii) Let E be an event. Then, P(not E)= ___

(iv) P(E) + P(not E)= ___

(v) ___$\le$ (P) $\ge$___

What is the least rationalising factor of $\sqrt{44}$?

A hollow spherical shell is made of a metal of density 4.5 g per $c{m}^3$.If its internal and external radii are 8 cm and 9 cm respectively, find the weight of the shell.

There are two lines, AB and CD, which are parallel to each other. ∠AMN= ${20}^{\circ }$. Find the value of x .

Which of the following is not an irrational number?

The area of the rectangle shown in the figure below is ___.

The value of polynomial p(x) = x³ – x² + x + 1 at x = 1 is

(i) How many lines can be drawn to pass through three given points if they are not collinear?
(ii) How many line segments can be drawn to pass through two given points if they are collinear?

If 10^2y=25 then 10^-y equals?

$ABCD$ is a cyclic quadrilateral whose diagonals intersect at a point $E.$ If $\angle DBC={70}^{\circ },\angle BAC={30}^{\circ }$ and $AB=BC,$ find $\angle ECD$.

In the given figure if $\angle$ BAC = ${60}^{\circ }$, then which of the following statements are true?

What is the probability that the sum of two rolled dice is 13?

In triangle ABC, right angled at B, if $\angle$A is made smaller and smaller till it becomes zero, what can you say about BC and AC if AB = 1 unit