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Find difference between mean and median. If the difference between mode and median of a data is 18, use the relation

Mode = 3 Median - 2 Mean.

The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the quadrilateral.

Solve the given expansion.
$(1+2x-3x^2{)}^4$

Using the remainder theorem, find the remainder, when p(x) is divided by g(x), where
$\left(px\right)=2x^3+3x^2-11x-3,g\left(x\right)=(x+\frac{1}{2})$.

In the first problem, if the parallel line drawn in through the mid-point of one side, then how much of the area of the original triangle is the area of the small triangle?

If $a{x}^2+bx+c$ is a monomial in $x$ , what can be said about $a$, $b$ and $c$?

If the angles of elevation of the top of a tower from two points at distances a and b from the base and in the same straight line with it are complementary then the height of the tower is

(a) $\sqrt{\frac{a}{b}}$

(b) $\sqrt{ab}$

(c) $\sqrt{a+b}$

(d) $\sqrt{a-b}$

Two numbers a and b, when divided by 7 and 6 respectively, leave remainders p and q respectively. What is the maximum value of p + q ?

Question 3

Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

In the given figure, if $l||m$, then the value of x is

The area of a square is $36c{m}^2$. If the side of the square is equal to the side of an equilateral triangle, then find the area of the triangle.

What is the probability of choosing a vowel from all the letters of the alphabet?

A rational number lying between $\sqrt{2}$ and $\sqrt{3}$ is

(a) $\frac{(\sqrt{2}+\sqrt{3})}{2}$ (b) $\sqrt{6}$ (c) 1.6 (d) 1.9

ABCD is a cyclic quadrilateral. Sides AB and DC produced meet at point E; whereas sides BC and AD produced meet at point F.

If $\angle DCF:\angle F:\angle E=3:5:4,$ find the angles of the cyclic quadrilateral ABCD.

Express the following in p\q form.

1. 0.3187(178 is recurring).

2. 32.1235( 35 is reccuring).

3. 0.407 (7 is recurring).

A circular park of radius 20 m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find the length of the string of each phone.

If a circle passes through the point (a, b) and cuts the circle $x^2+y^2=4$ orthogonally, then the locus of its Centre of the circle is _____

Three times the age of Rama is 15.

Which of the following equations represents the given stament mathematically?

(Assume the age of Rama to be '$x$')

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 (Excluding 60)?

(i) How many lines can be drawn to pass through a given point ?

(ii) How many lines can be drawn to pass through two given point ?

(iii) In how many points can the two lines at the most intersect ?

(iv) If A,B,C are three collinear points,name all the line segments determined by them.

If two cubes of side 6 cm are joined face to face, then find the volume of the resulting cuboid.

In the given figure sides AB and AC of ΔABC are extended to points P and Q respectively. Also, ∠PBC < ∠QCB. Show that AC > AB.

Factorise:
$(3a-1{)}^2-6a+2$

The radius of a right circular cylinder with curved surface area of 440 cm² and an altitude of 5 cm is

If i cut a circular cake into three equal parts, then geometrically the three parts obtained after cutting the cake are _____.

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw quadrilateral ABCD? If you can, will this quadrilateral be unique?

ABC, DBC are two triangles in which AC and BD meet at X.
If AX = DX and BX = CX, then which of the following statements are correct?