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Arrange the following addition statements from highest to lowest:

In the given figure, if $\angle BCA=\angle RPQ={15}^{\circ },$

then $\angle PQR$ is .

If a, b and c are the sides of a triangle, then which of the following is true?

Factorize 1/3x² -2x-9

In the given figure, ABC is a triangle, right-angled at B. BCDE is a square on the side BC and ACFG is a square on AC. Then,

Assertion: In rolling a dice, event A = {1, 3, 5} and event B = {2, 4} are mutually exclusive events.
Reason: In a sample space, two events are mutually exclusive if they do not occur at the same time.

The ratio of areas of a circular field and a rectangular field is 1 : 2. Find the area of the rectangular field, if the area of the circular field is 50 m².

Which of the following cannot be a part of a set of rational numbers?

HCF of two numbers is 1 and LCM is 221. If one of the two numbers is 17, find the other.

Let $p,q,r$ be three logical statements. Then $p\to (q\vee r)$ is equivalent to

The base and height of a triangle are in the ratio 2 : 3 and its area is 300 m². Find the height of the triangle?

Anmol was cutting a piece of paper with a pair of scissors. She observed that as she increased the angle of the scissors, the angles created in the opposite arms(vertically opposite angle) ___.

A floral design on a floor is made up of $16$ tiles which are triangular, the sides of the triangle being $9cm,28cm,$ and $35cm$ (see the given figure). Find the cost of polishing the tiles at the rate of $50$ paise per $c{m}^2.$

Question 3

Only one of the four options is correct. Write the correct one.

A picture is 60cm wide and 1.8m long. The ratio of its width to its perimeter in lowest form is:

a) 1 : 2

b) 1 : 3

c) 1 : 4

d) 1 : 8

1. 0.5

If a transversal intersects two parallel lines, then the consecutive interior angles are

How will you describe the position of the table lamp on your study table to another person?

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In fig., PQRS is a parallelogram in which ∠PSR = 125^o, ∠RQT is equal to

The value of ${\left({\left(\frac{3}{2}\right)}^{-1}\right)}^{-2}$ is

It is required to make a closed cylindrical tank of height $1m$ and base diameter $140cm$ from a metal sheet. How many square meters of the sheet are required for the same?

Assume $[\pi =\frac{22}{7}]$

What is the formula to find the total surface area of a cube?

In this figure the triangle shown is:

If the product of matrices $A=\left[\begin{array}{cc}{\cos }^2\theta & \cos \theta \sin \theta \\ \cos \theta \sin \theta & {\sin }^2\theta \end{array}\right],B=\left[\begin{array}{cc}{\cos }^2\varphi & \cos \varphi \sin \varphi \\ \cos \varphi \sin \varphi & {\sin }^2\varphi \end{array}\right]$ is a null matrix, then $\theta -\varphi$ is equal to

What is a polynomial consisting of?

If $p=log20$ and $q=log25$, find the value of $x$, if $2log(x+1)=2p-q$.

In the given figure, AB || CD || EF. Find the value of x.

The rationalising factor for the number $3-7\sqrt{2}$ is