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A cow has $8$ different pairs of roller blades. In how many ways can she select $2$ pairs to go skating with her friends?

Factorize: $4(a+b{)}^2-(a-b{)}^2$

Find the area of a rhombus having diagonals of length 10 cm and 20 cm.

Meaning of fraction $\frac{x}{y}$ is ___

Draw any line segment. Mark any point M on it. Through M, draw a perpendicular to. (Use ruler and compasses)

A bar graph is used to show ____________.

Consider the figure below:

If $\Delta BOC\cong \Delta AOD$ , and $\angle$ $ADO={30}^o$, then what is the measure of $\angle BCO$ (in degrees) ?

___

In the figure given below, state which lines are parallel and why?

The centre of circle passing through (0, 0) and (1, 0) and touching the circle $x^2+y^2=9$ is
(2002)

Question 4(iii)

Obtain the volume of rectangular boxes with the following length, breadth and height respectively:

$xy,2x^{2}y,2x{y}^2$

${\left(1\frac{3}{10}\right)}^3$ = ?
(a) $1\frac{27}{1000}$ (b) $2\frac{27}{1000}$
(c) $2\frac{197}{1000}$ (d) none of these

Find the value of $\sqrt[3]{3343}$ + $\sqrt[3]{3\frac{512}{125}}$

Factorise:

$x^4+y^4-3x^2{y}^2$

1. 13846

The time complexity of Huffman code for a data set of size n is________.

Which of the following is a triangular number?

For 2 sets A, B, A is called a proper subset of B iff

In a school there are 10 periods per day of 40 minutes each. Students want to reduce the number of periods but the principal doesn't want to reduce the number of working hours. How can the principal to reduce the number of periods to 8 without changing the total working hours?

Find the smallest number by which 8788 must be divided so that the quotient will be a perfect cube.

Find the cubes of the first five odd natural numbers and the cubes of the first five even natural numbers. What can you say about the parity of the odd cubes and even cubes?

Study the following information and answer the questions given below:

The premises of a bank are to be renovated. The renovation is in terms of flooring certain areas that are to be floored either with marble or wood. All rooms/halls and pantry are rectangular. The area to be renovated comprises of a hall for customer transaction measuring 23m $\times$ 29m, branch manager’s room measuring 13m $\times$ 17m, a pantry measuring 14m $\times$ 13m, a record keeping cum server room measuring 21m $\times$ 13m and locker area measuring 29m $\times$ 21m. The total area of the bank is 2000 square meters. The cost of wooden flooring is 170/- per square meter and the cost of marble flooring is 190/- per square meter. The locker area, record keeping cum server room and pantry are to floored with marble. The branch manager’s room and the hall for customer transaction are to be floored with wood. No other area is to be renovated in terms of flooring.

What is the respective ratio of the total cost of wooden flooring to the total cost of marble flooring?

Lakshmi is a cashier in a bank she has currency boysnotes of denomination $100,$50and$10respectively.Theratioofthenumberoftheseis2:3:5.ThetotalcashwithLakshmiis$4,00,000. How many notes of each denomination does she have?

The mean of first five odd numbers is

State the number of variables

(i) $623x²m²+20xyz-2120+32$



(ii) $23a^{2}b+623b^2-4b+\sqrt{345a}$

Question 56

State whether the following statement is true or false:

​​​​​​​Two cuboids with equal volume will always have equal surface area.

Which of the following is the like term of $6$$m^2$$n^3$ ?

Construct a triangle ABC whose perimeter 12 cm and whose base angles are 50° and 80°.

Construct a trapezium ABCD in which AB = 6 cm, BC = 4 cm, CD = 3.2 cm, $\angle B={75}^{\circ }$ and DC || AB.

Find the value of $(5\sqrt{2}+2\sqrt{2})$$(6\sqrt{2}-3\sqrt{2})$