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The value of expression $6^2\times 5^2$ is equal to

Question Given:

{x:x belongs to N, x is greater than (>) 29} _ Infinite Set

{x:x belongs to N, x is lesser than (<) 16}_ Finite Set

Draw a Venn Diagram using this information.

Query:

How can we draw a Venn Diagram with an Infinite Set?

Two lines intersect at a point and a ray is drawn from the point of intersection. The ray divides the angle between the lines into 1:2 ratio. One of the angles is given, find the value of 'x'.

To start a business, Raju invested ₹ 20000, Ravi invested ₹ 30000 and Surya invested ₹ 40000. They made a total profit of ₹ 450 and decided to divide it in the ratio of their investments. How much money did Ravi get?

Before a cricket match the officials wanted to check the distance of the boundary from the centre of the pitch, given that the ground is circular in shape. The entire boundary length is 628 m. Find its area in $m^2$ . Take $\pi$=3.14. [3 MARKS]

The chopping blade makes a ______ of angles with the board.

The number of flights cancelled by airlines P and R together in the year 2007 is approximately what percentage of the number of flights cancelled by airline S in the year 2005?

Solve for $x$: $42x-32=75x+4$

You have deposited Rs 1000.00 in the bank. There is a 7% interest on it every year. How much money will you have after 5 years?

The tallest player in a basketball team is 75 inches tall and the shortest player is 61 inches tall. Which conclusion about the heights of the team players is supported by this data?

15+5(y-6) = 0

find the value of y with steps.

If $1kg$ of wheat costs ₹$12$, what will be the cost of $3kg$ of wheat?

$\text{Name the multiplication property of rational numbers shown below:}\left(i\right)\frac{3}{5}\times \frac{-8}{9}=\frac{-8}{9}\times \frac{3}{5}\left(ii\right)\frac{-3}{4}\times (\frac{5}{7}\times \frac{-8}{15})=(\frac{-3}{5}\times \frac{5}{7})\times \frac{-8}{15}\left(iii\right)\frac{4}{5}\times (\frac{3}{-8}+\frac{-4}{7})=\frac{4}{5}\times \frac{3}{-8}+\frac{4}{5}\times \frac{-4}{7}\left(iv\right)\frac{-7}{5}\times \frac{5}{-7}=1\left(v\right)\frac{8}{-9}\times 1=1\times \frac{8}{-9}=\frac{8}{-9}\left(vi\right)\frac{-3}{4}\times 0=0$

Question 9 (i)
In the adjoining figure:

Is $\angle 1$ adjacent to $\angle 2$?

A Square is cut along its diagonal as four triangles and these are arranged on another square of the same area to form a larger square of area 16 sq.units. Then find the area of the smaller square.

Which of the following is one of the factors of 10yz?

(a) In the given figure, the value of xis: [2 MARKS]


(b) An angle is greater than ${45}^{\circ }$. Its complement is ____ (>,<, = )${45}^{\circ }$.

A merchant marks a refrigerator for Rs. 12000 but agrees to give a 20% discount. Find the selling price of the refrigerator.

Construct a right-angled triangle whose hypotenuse is 5 m and one of its lengths is 3 m. [3 MARKS]

If all the three altitudes of a triangle are equal, the triangle is equilateral.

Prove it.

Question 48

In questions 24 to 59, fill in the blanks to make the statements true.
Amount obtained by depositing Rs. 20000 at 8 % per annum for six months, is ___.

A farmer wants to plant trees on his square land of side 35 m. What is the total area available to him to plant trees?

If $1125=3^x\times 5^y$ then find the value of $x+y$.

If two lines are transversal to three parallel lines, then the number of points of intersection can be ___ .

Rina and Tina’s mom asked them to buy 1.25 kg of sugar from the grocery store. The price of sugar is listed as ₹ 46.5 per kg at the store. The amount paid by them is _____.

Replace the blank with an integer.

___ $\times (-13)=-143$

Rotate the red shape about the black point 90 degrees counter clockwise.

Square ABPQ and ADRS are drawn on the sides AB and AD of a parallelogram ABCD. Which of the following options is correct?

Pls answer this question with solution.

A car moves with a speed of 40km per hour for 15 minutes and 60km per hour for next 15 minutes find the total distance covered by car in these 30 minute

Find the number of rectangles in the given figure.

Solve the following riddle:
I am a number. Tell my identity!
Take me seven times over and add a fifty! To
reach a triple century, you still need forty.

Set up an equation in the following case:
In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be $b$ in degrees. Remember that the sum of angles of a triangle is ${180}^{\circ }$. )

A father divided a rectangular piece of land between his 2 sons in ratio 4 : 5. The length of the field was twice it's breadth.

If breadth is 6 m, then find the area of land which the 1st son got. (The lesser share)

What is the difference between the measures of a straight angle and a right angle?

A chair was sold for Rs 1008 at a gain of 12%. Find the cost price of the chair.

Which of the following letters do not have line symmetry?

Since it was a Sunday, Tom and his friends had enough time to play many more games. Tom opened a game on his computer in which, to proceed further in the game, the player would have to answer some questions.

In the first level of the game, Tom has to drive a car and reach a destination.

To get the car unlocked, he has to fill the box (in green) with any of the symbols <, >, = or $\ne$.

What should Tom enter so that the relation between ${153}^0$ [153 raised to the power 0] and ${154}^0$ [154 raised to the power 0] holds good?

What is the range for the following data set?

50 50 50 50 50

The above table depicts the age group of people living in an apartment. Since the group width is unequal find the length of rectangle with respect to age group width 5 per interval.

$\begin{array}{cc}\text{age group}& \text{number of people}\\ 10-19& 12\\ 20-24& 13\\ 25-29& 36\\ 30-34& 15\end{array}$
[3 MARKS]

Which of the following shows $1\frac{1}{4}$ and $2\frac{5}{8}$ on a number line?