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Which of the following is(are) possible factorization(s) of $10x^3?$

If the area of the sector of a circle with angle ${45}^{\circ }$ is $11c{m}^2$ , then the area of corresponding major sector is equal to.

The content of the carbon dioxide in the air is 500 ppm(parts per million). What is the content of Oxygen in the air ?

A garden has 65 flowers. $\frac{1}{5}$ of them are roses. There are _____ roses in the garden.

Question 6

In the given figure, $\angle XYZ$ cannot be written as

a) $\angle Y$

b) $\angle ZXY$

c) $\angle ZYX$

d) $\angle XYP$

Question 9 (iii)

Classify 0.3796 as rational or irrational.

Which number is its own reciprocal?

Which among the following is NOT a perfect square?

In the given figure, if $\angle BAD=\angle CAD,\angle ABD=\angle ACD,$ then which of the following is false?

a)$△ABD\cong △ACD$ by SAS postulate

b)$△ABD\cong △ACD$ by AAS postulate

c)AB = AC

d)BD = CD

Question 53

In the following question, fill in the blanks to make the statements true.

The value fo $3\times {10}^{-7}$ is equal to ___

Draw histogram for the following frequency distribution:

Study the following pie – chart and table carefully and answer the questions given below:
Percentagewise Distribution of the Number of Mobile Phones Sold by a Shopkeeper
During Six Months
Total Number of mobile phones sold = 45,000

The respective ratio between the numbers of mobile phones sold of company A and company B during six months
$\begin{array}{cc}Months& Ratio\\ July& 8:7\\ August& 4:5\\ September& 3:2\\ October& 7:5\\ November& 7:8\\ December& 7:9\end{array}$

If the shopkeeper earned by a profit of Rs. 433/- on each mobile phone sold of company B during October, what was his total profit earned on the mobile phones of that company during the same month?

Find the cube root of 216 × 729.

Construct a quadrilateral ABCD in which AB = BC = 3 cm, AD = 5 cm,$\angle A={90}^{\circ }$ and $\angle B={105}^{\circ }.$

The three angles of a quadrilateral are ${76}^0,{54}^0$ and ${108}^0$. Find the measure of the fourth angle.

The length and corresponding height of a parallelogram is 6 m and 8 m respectively. The area of the parallelogram in \(m^2\) is ___ .

Choose the figure from the following options which is congruent to the given figure.

Identify the fractions equivalent to $\frac{2}{10}$.

$A$ and $B$ can do a piece of work in $12$ days, $B$ and $C$ in $15$ days and $C$ and $A$ in $20$ days. How much time will $A$ alone take to finish the job?

Question 109

Express $\frac{1.5\times {10}^6}{2.5\times {10}^{-4}}$ in the standard form.

Choose the monomial among the following which has a degree $5$.

Which is the greatest 5 digit perfect square number?

Find the nearest integer to the cube root of each of the following:

(i) 331776; (ii) 46656; (iii) 373248.

Question 97

Solve the following:

Find the product of the cube of (-2) and the square of (+4).

Question 52

State whether the following statement is true or false:

There is no square number between 50 and 60.

Factorise:

$9(a-2{)}^2-16(a+2{)}^2$

If the present petrol price is Rs.50, then what is the new price when:

i) There is an increase in 20% on the original price?

ii) There is a decrease in 10% on the original price?

Find the value of
$\frac{-16}{21}÷\frac{-4}{3}.$

The diameter of the sun is 1.4 × 10⁹ meters and that of the Earth is about 1.2768 × 10⁷meters. Find the approximate ratio of the diameter of the Sun to that of the Earth.