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In a sample survey of 640 people, it was found that 400 people have a secondary school certificate. If a person is selected at random, the probability that the person does not have such certificate is

$\text{In the given figure, DEFG is a square}\text{and}\angle BAC={90}^o.$


$\text{Which of the following is true?}$

In the figure below, ABCD is a parallelogram and X, Y are the midpoints of AB, CD. The lines DX and BY cut AC at P and Q.

Prove that AP = PQ = QC.

Convert $\frac{4}{11}$ into its decimal form.

Write the following in ascending order of magnitude. $6\sqrt{6},3\sqrt{7},4\sqrt{8}$

In the figure, if $\angle AOB={80}^{o}and\angle ABC={30}^o$, then find $\angle CAO$.

If three consecutive vertices of a parallelogram are $A(4,3,5),B(0,6,0),C(-8,1,4)$ and $D$ is the fourth vertex, then the angle between the lines $CA$ and $BD$ is:

Suppose that there is a conical strainer as shown in the given figure. The radius of its broadest end is 6 cm and length is 8 cm. Now if 2 ${cm}^2$ of strainer has an average of 8 tiny holes. Then the total number of holes in the entire strainer is:

Points A(0,0), B(4,0), C(6,6) and D(2,6) are joined to form quadrilateral ABCD. Point C(6,6) and point B(4,0) are joined to point F(8,0). The quadrilateral DBFC is now completed. Which of the following is correct?

In a certain code, $SHIFT$ is written as $UFKDV.$ How is $COVID$ written in that code?

What are the values of a, b and c for the equation when written in the standard form: $ax+by+c=0:$
$y=0.5x+\sqrt{7}.$

If A = ${60}^o$ and B = ${30}^o$, find the value of

$(sinA.cosB+cosA.sinB{)}^2$ + $(cosA.cosB-sinA.sinB{)}^2$.

Which of the following sets of points lies on the same straight line?

Question 1 (i)
In $\Delta$ ABC, right-angled at B, AB = 24 cm and BC = 7 cm. Determine:
(i) sin A, cos A

$\text{The volume of a sphere is 38808}c{m}^3.\text{Its curved surface area is}\left(a\right)5544c{m}^2\left(b\right)8316c{m}^2\left(c\right)4158c{m}^2\left(d\right)1386c{m}^2$

In a right triangle ABC right angled at B, the square of hypotenuse is equal to twice the product of the perpendicular sides. Find the measure of $\angle A.$

If the lengths of two diagonals in a rhombus are 24 m and 10 m, find the side length of the rhombus.

Match the following columns: $\begin{array}{cc}\text{Column I}& \text{Column II}\\ 4\sqrt{(81{)}^{-2}}=.....& \left(p\right)4\\ If{\left(\frac{a}{b}\right)}^{x-2}={\left(\frac{b}{a}\right)}^{x-4}thenx=....& \left(q\right)\frac{2}{9}\\ Ifx=(9+4\sqrt{5})then(\sqrt{x}-\frac{1}{\sqrt{x}})=...& \left(r\right)\frac{1}{9}\\ {\left(\frac{81}{16}\right)}^{-3/4}\times {\left(\frac{64}{27}\right)}^{-\frac{1}{3}}=?& \left(s\right)3\end{array}\text{The correct answer is: (a)-....(b)-....(c)-.....(d)-....}$

Q. If $M+N$ means $M$ is the brother of $N;M\%N$ means $M$ is the father of $N$ and $M\times N$ means $M$ is the sister of $N$. Which of the following means $A$ is the uncle of $C$?



Q. यदि $M+N$ का अर्थ है कि $M,N$ का भाई है; $M\%N$ का अर्थ है $M,N$ का पिता है और $M\times N$ का अर्थ है $M,N$ की बहन है, तो निम्नलिखित में से किसका अर्थ है कि $A,C$ का चाचा है?

The length of a cold storage is doubled its breadth, its height is 3 metres the area of its four walls (including doors) is 108 metre^​​2. find its volume.

In the $\Delta ABC,\angle B$ is a right angle, $D$ and $E$ are the mid-points of the sides $AB=3cm$ and $AC=5cm$ respectively. Then, the length of $DE$ is

Which of the following is the correct factorisation of $a^2-b^2$?

The distances of points that lie above the origin, which are measured along the Y axis, are taken as ____, and the distances of points that lie below the origin, which are measured along the Y axis, are taken as ____.

Simplify

(i) $(3-\sqrt{11})(3+\sqrt{11})$

(ii) $(-3+\sqrt{5})(-3-\sqrt{5})$

(iii) $(3-\sqrt{3}{)}^2$

(iv)$(\sqrt{5}-\sqrt{3}{)}^2$

(v) $(5+\sqrt{7})(2+\sqrt{5})$

(vi)$(\sqrt{5}-\sqrt{2})(\sqrt{2}-\sqrt{3})$

Subtracting $7x-3x^2$ from $4x+8x^2$ we get

If (a, a-1) is a solution of the equation 5x - 3y = 13, find the value of a.