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HCF of two numbers a and b is:

Which of the following is the equation of given line joining point A and point B? Express in slope-intercept form.

There are 900 creatures in a zoo as per list given below :

$\begin{array}{ccccc}\text{Best animals}& \text{Other land}& \text{Birds}& \text{Water animals}& \text{Reptiles}\\ & \text{animals}& & & \\ 150& 400& 175& 125& 50\end{array}$

Represent the above data by a pie chart.

Which of the following is not true?

(i) Whole numbers are closed under subtraction.

(ii) Integers are not closed under division.

(iii) Rational numbers are closed under division.

$9^3$ can be represented as a sum of how many consecutive odd number?

Find the least number which must be subtracted from 2361 to get a perfect square

Choose the correct option:

If a = 60 and b = a, then b = 60 by ____________

A. Axiom 1

B. Axiom 2

C. Axiom 3

D. Axiom 4

The diameter of Earth is $1,27,56,000m$. Express the number in the standard form.

Find the order of the surd: $(\sqrt[7]{7\sqrt[3]{32}\times \sqrt{64}}{)}^{\frac{1}{10}}$

If the degree measures of the angles of quadrilateral are $4x,7x,9x$ and $10x$, what is the sum of the measures of the smallest angle and largest angle?

Write the Euler’s formula for any polyhedron. [2 MARKS]

Find the compound interest at the rate of $5\%$ for 3 years on that principal which in 3 years at the rate of $5\%$ per annum gives Rs. 12,000 as simple interest.

Question 6

Which of the following expressions show that rational numbers are associative under multiplication.

(a) $\frac{2}{3}\times (\frac{-6}{7}\times \frac{3}{5})=(\frac{2}{3}\times \frac{-6}{7})\times \frac{3}{5}$

(b) $\frac{2}{3}\times (\frac{-6}{7}\times \frac{3}{5})=\frac{2}{3}\times (\frac{3}{5}\times \frac{-6}{7})$

(c) $\frac{2}{3}\times (\frac{-6}{7}\times \frac{3}{5})=(\frac{3}{5}\times \frac{2}{3})\times \frac{-6}{7}$

(d) $(\frac{2}{3}\times \frac{-6}{7})\times \frac{3}{5}=(\frac{-6}{7}\times \frac{2}{3})\times \frac{3}{5}$

4560 paintings are to be brought within 15 days equally.

The correct equation showing the partial quotient and the final quotient respectively will be

Use suitable identity and find the value of ${97}^2$

Below is the histogram representing the marks obtained by 43 students of a class. How many students have scored highest marks?

If two angles are in the ratio 4: 7, on adding the first angle by 100${}^{\circ }$ the ratio turns to 2:1 then find the value of the second angle.

Find the amount of Rs. 12500 for 2 years compounded annually, the rate of interest being $15\%$ for the first year and $16\%$ for the second year.

Which of the following numbers is a triangular number with its square ending with 4?

In the given figure, if the altitude and the base of parallelogram are 12 cm and 6 cm respectively, then the area of the triangle BEC is:

Simplify:

Question 1

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.

Question 114

A real estate agent receives Rs. 50000 as commission, which is 4 % of the selling price. At what price does the agent sell the property?

The expanded form of a 3-digit number abc is

Question 85 (ix)

Expand the following, using suitable identities.

$(\frac{2x}{3}-\frac{2}{3})(\frac{2x}{3}+\frac{2a}{3})$

Every regular polygon has sides of

Find the value of the expression

$(36x^2+25y^2-60xy)$ When $x=\frac{2}{3}$ and $y=\frac{1}{5}$

A triangle is divided into 4 pieces and the area of the 4 regions are given inside the corresponding regions. The value of x is