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The sum of two numbers is 64.
The equivalent linear equation in two variables of above statement is:

The angles of a quadrilateral are in the ratio $2:3:6:7$. The largest angle of quadrilateral is:

Write a pair of irrational numbers whose product is rational.

2 numbers are less than 60 and 3 numbers are more than 60. The numbers which are less have a difference of 10 and 20 respectively from 60.

The numbers which are more, have a difference of 10, 20 and 30 from 60. What is the Average of these numbers (Including 60)?

The quadrilateral ABCD is given below. What all measurements you need to draw the quadrilateral ABCD? The measurements are given in following options. Which of the options can help you to draw ABCD?

Question 87

In the given figure, area of $\Delta PQR$ is $20c{m}^2$ and area of $\Delta PQS$ is $44c{m}^2$. Find the length RS, if PQ is perpendicular to QS and QR is 5 cm.

Madhavi eats $\frac{1}{4}$ of chocolate divided into 20 parts and then Then she divides another one into 5 equal parts and eats 3 of them. What is the total fraction of chocolates that she has eaten?

The numbers which have a non-terminating and non-repeating decimal expansion and cannot be represented in the form of $\frac{p}{q}$ ( q is not equal to '0') are known as ___ numbers.

$P$ and $Q$ are the points of trisection of the diagonal $BD$ of the parallelogram $ABCD$, Prove that $CQ$ is parallel to $AP$. Prove also that $AC$ bisects $PQ$.

If x = cosec A + cos A and y = cosec A - cos A then prove that

$(\frac{2}{x+y}{)}^2+(\frac{x-y}{2}{)}^2-1=0$

A right circular cylinder has a base with a diameter 7 cm and height 10 cm. The total area of the cylinder is

If a=3 and b=-2,find the values of:

(i) $a^a+b^b\left(ii\right)a^b+b^a\left(iii\right)(a+b{)}^{ab}$

Range of the function $f\left(x\right)=\frac{x^2+x+2}{x^2+x+1};xϵR$ is

A car travels a distance of 225 km using 25 litres of petrol. How many litres of petrol will be required to cover a distance of 540 kilometres by this car?

3 boys Ankur, Syed and David are sitting at equal distances on the boundary of a circular park of radius 20m. Each of them has a toy telephone to talk to each other. Find the length of the string that connects the telephones of any two of the boys.

Choose the correct answer in each of the following :

The ratio of the volumes of a right circular cylinder and a right circular cone of the same base and the same height will be

(a) 1:3 (b) 3:1 (c) 4:3 (d) 3:4

Which of the following is not a factor of $a{x}^2+b{y}^2+bxy+axy?$

$$\begin{array}{ccccccc}Alarms/week& 0& 1& 2& 3& 4& >4\\ Numberofweeks& 4& 9& 12& 19& 6& 2\end{array}$$

The table below gives the number of fire alarms that a certain station responded to every week last year.

Find the probability that a week chosen at random had (i) at least 3 incidents,
(ii) no incidents,
(iii) an odd number of incidents

Write the following cubes in expanded form: ${(2x+1)}^3$

Question 134

Fill in the blank to make the statement true.
786 $\times$ 3 + 786 $\times$ 7 = ___

F(x)=4xcube+20xsquare+33x+18

A chord XY of a circle with centre O is bisected at M by its diameter RS.The radius OS and OR is 15 cm, OM is 9 cm. Find the length of the chord RY.

1. 290

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $\angle$ABC=${60}^{\circ }$. What is the property of the quadrilateral constructed?

In a parallelogram ABCD, E and F are any two points on the sides AB and BC respectively. If ar ( ∆DCE) is 12 cm², then ar(∆ ADF) is

Use the following information to answer the next question.

The given figure shows an isosceles ΔABC with equal sides AB and AC. Side BC of the triangle is extended to point X.

What is the magnitude of ∠ACX?

$\overrightarrow{a}$ and $\overrightarrow{c}$ are unit vectors and $|\overrightarrow{b}|=4.$ The angle between $\overrightarrow{a}and\overrightarrow{c}isco{s}^{-1}\left(\frac{1}{4}\right).$
If $\overrightarrow{b}-2\overrightarrow{c}=\lambda \overrightarrow{a}$, then $\lambda$ is

If some data has more than one value which has a maximum frequency, then what term do we use to describe that data?

Directions:- Study the following information carefully to answer the question given below.

Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row-1 P, Q, R, S, T and V are seated and all of them are facing South. In row-2 A, B, C, D, E and F are seated and all of them are facing North. Therefore, in the given sitting arrangement each member seated in a row faces another member of the other row.
S sits third to the right of Q. Either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. Neither B nor F sits at the extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours of each other. C sits second to the left of A. T does not face the immediate neighbour of D.

Which of the following is true regarding T?

Draw the graph of each of the following equations.

(i) x = 4

(ii) x + 4 = 0

(iii) y = 3

(iv) y = -3

(v) x = - 2

(vi) x = 5

(vii) y + 5 = 0

(viii) y = 4

Draw the graph of the equation, 2x + y = 6.

Find the coordinates of the point where the graph cuts the x - axis.

Each diagonal of a parallelogram divides it into two

ABC is an isosceles triangle such that AB = AC and AD is the median to base BC, then, $\angle BAD=$

1. 0.5

If 5tan$\theta$=4, then value of (5sin$\theta$ -4cos$\theta$)/(5sin$\theta$ +4cos$\theta$) is:

In the adjoining figure, ABCD is a parallelogram and E is the midpoint of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.

A cricket ball of radius r is exactly fit in a cylindrical tin (with the top open) as shown in the figure below. Which of the following is statement true

If A = (x–a) (x–b) (x–c) .............(x–z). Then number of terms in the expansion of (a+A) (b+A) (c+A) ..........(z+A) is

In a parallelogram ABCD, if $\angle D={115}^{\circ }$ then write the measure of $\angle A$

If $AB,BC,$ and $CD$ are equal chords of a circle with $O$ as center, and $AD$ diameter then $\angle AOB$ equals to

_{Show that in a right angle traingle , the hypotenuse is the longest side.}

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x)

f(x) = $3x^4+17x^3+9x^2$ - 7x - 10; g(x) = x + 5

If $(x+a)$ is a factor of $x^2+px+q$ and $x^2+mx+n$, then the value of $a$ is