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Simplify
(i) $2^{\frac{2}{3}}\times 2^{\frac{1}{3}}$
(ii) $2^{\frac{2}{3}}\times 2^{\frac{1}{5}}$
(iii) $7^{\frac{5}{6}}\times 7^{\frac{2}{3}}$
(iv) $(1296{)}^{\frac{1}{4}}\times (1296{)}^{\frac{1}{2}}$

Who lives in Mumbai?

The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings lies between.

$$\begin{array}{cc}\text{Monthly savings(Rs)}& \text{Number families}\\ 1000-2000& 14\\ 2000-3000& 15\\ 3000-4000& 21\\ 4000-5000& 27\\ 5000-6000& 25\end{array}$$

___ is a multiple of 6.

a:b= 2:3 , what is the share of "a" if we divide 20 in the ratio 2:3 ?

(7 + 2) (10 - 3) =?

Consider the square plot given below with the green portion as garden. Express the part of plot used as garden in decimals.

1 shirt can be made using 5 metres of cloth .How many complete shirts can be made from 47.7 metres of cloth?

A pole is of a certain length. If 0.35 m of the pole is painted red, 1.37 m is painted white, 3.27 m is painted black and the remaining 5.63 m is left unpainted, then find the length of the pole rounded off to the nearest integer.

Find the frequency of 40 in the following set of data.

10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

The bar graph shows the favourite colours of 20 students in a class. How many more favoured orange than green?

LCM and HCF of two numbers is 12 and 2 respectively. If one of the numbers is 6 then the other number is ____

Subtract the given fractions.
$\frac{28}{3}$ and $\frac{7}{4}$

Tom has a line segment, as shown in the following picture.





What is the total length of the line segment?

Question 2 (iv)

Write four more rational numbers in the following patterns.
$\frac{-2}{3},\frac{2}{-3},\frac{4}{-6},\frac{6}{-9},\cdots \cdots$

How much is an angle of a 36-sided regular polygon?

If $2.4+P=3.61,$ then P= __.

1. 6

In a class, the teacher tells a trick to create a design on a paper by folding and cutting it. She takes a piece of paper, folds it twice, and then cuts out two squares.



After doing this, she unfolds the paper. Choose the figure that resembles the unfolded form of figure Z.

A fraction whose numerator is greater than its denominator is called a/an _____

What is the least number that should be subtracted from 26492518 so that the resulting number is divisible by 3 but not 9

√x-3=2

Find the perimeter of the given triangle.

"ऋतु परिवर्तन का जीवन पर गहरा प्रभाव पड़ता है"- इस कथन की पुष्टि आप किन-किन बातों से कर सकते हैं? लिखिए।

A garrison of 900 men had provisions for 42days.However, reinforcements of 500men arrived .For how many days will the food last now?

The expression $9\times 9\times 9$ can be represented as:

A stereotype is created when we fix people into

In the figure below, lines AB and CD intersect at O. If $\angle$AOC + $\angle$BOE = ${70}^{\circ }$ and $\angle$BOD = ${40}^{\circ }$, find (2$\angle$BOE).

Statement $1$: $0$ is the additive identity for integers.

Statement $2$: Any integer added to zero results in the integer itself.

Choose the correct option.