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If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of children is reduced by 4?

If the volume of a cube is $1000c{m}^3$, then the length of its side will be:

For a complex number a+ib, a-ib is called its

What is the midpoint of (2, 7) and (4, 3)?

X-4/5(x+10)

The table below shows the sale of shirts of various sizes in a week.

$$\begin{array}{cccccc}\text{Shirt size}& 38& 39& 40& 41& 42\\ \text{Number sold}& 60& 73& 89& 90& 23\end{array}$$

The size which is demanded the most is

A tank with length,breadth and height of 5, 6 and 3 units respectively is open at top.The cost of anti-microbial coating inside the tank at the rate of ₹10 per sq. units is :___

If a number m is equal to n³, then the cube root of m is:

Can 1010 be written as a difference of two perfect squares? [Hint: How many times 2 occurs as a factor of 1010?]

Find the areas(in $c{m}^2$) of shaded regions. [Take $\pi =\frac{22}{7}$]

Two rectangular boxes have the same height and length, but different widths as shown in the figure.



The difference in the volume of the boxes is 360 $c{m}^3$. Find the height of the box.

Verify that -(-x) =x for :

1. X=11/15

2. X=-13/17

Question 109(iv)

Verify the property $x\times (y\times z)=(x\times y)\times z$ of rational numbers by using

$x=0,y=\frac{1}{2}$ and $z=\frac{1}{4}$

and what is the name of this property?

What a relief when we reach home after crossing all the obstacles and jumping over the head of several toads and turtles! Here is a histogram which is made up of bricks. 1 brick = 10,500. Carefully observe the histogram and answer the questions that follow:

In which years are the no. of CDs sold the same?

A man invests Rs. 5,600 at 14% per annum compound interest for 2 years. Calculate :

(i) the interest for the first year.

(ii) the amount at the end of the first year.

(iii) the interest for the second year, correct to the nearest rupee.

Find the value of expression $81x^2+144y^2-216xy$, when $x=\frac{1}{3}$ and $y=\frac{1}{4}$.

Q. A used car dealer could only sell two cars over the weekend due to bad weather. He sold a sedan at $15\%$ profit and a minivan at $20\%$ profit. The selling price of the sedan is $25\%$ more than the selling price of the minivan. What is the approximate profit percent from the sales of both the cars together?

In a pentagon ABCDE with AC = 5 cm, a line through B parallel to AC meets DC produced at F. The altitude of triangle ABC, perpendicular to AC, is 6 cm. Find the area of triangle ACF.

Prepare a Petty Cash Book on the Imprest System from the following:

Division (a/b=b/a)

15/17 and -12/13

Factorise:

$6x^2-5x-6$

Question 55

In the following question, fill in the blanks to make the statements true.

The standard from for 32500000000 is ___ .

Question 47



In the question given below, fill in the blank to make the statement true:



Volume of a rectangular box with length 2x, breadth 3y and height 4z is ___.

In the year 2005, total production living in urban area is equal to sixty eight percent of educated population. The ratio of number of people living in urban areas to people living in rural areas is 43:12 in 2010. What is the ratio of the rural population in 2005 to that in 2010?

Which of the following has(have) value(s) equal to the value $2!?$

From the following balances taken from the books of Simmi and Vimmi Ltd. for the year ending March 31, 2011, calculate the gross profit.

$(Rs.)$
$\text{Closing stock}2,50,000$
$\text{Net sales during the year}40,00,000$
$\text{Net purchase during the year}15,00,000$
$\text{Opening stock}15,00,000$
$\text{Direct expenses}80,000$

If the area of the red and blue square are 576 cm${}^2$ and 256 cm${}^2$ respectively, what is the area of the right angle triangle (in cm${}^2$) formed?

Study the diagram. The line l is perpendicular to line m.

(a) Is CE = EG?

(b) Does PE bisect CG?

(c) Identify
any two line segments for which PE is the perpendicular bisector.

(d) Are
these true?

(i) AC > FG.

(ii) CD = GH.

(iii) BC < EH.

Construct the histogram for the following grouped frequency distribution.

1. 7

Question 69

In the figure, the comparative areas of the countinents are given.

What is the ratio of the areas of

a) Africa to Europe?

b) Australia to Asia?

c) Antarctica to combined area of North America and South America?

The price of an article decreased twice successively, first by $30\%$ and then by $40\%$. If the original price was Rs.1000, what is it now?

The diagonals of a rhombus are of lengths 16 centimetres and 12 centimetres. What is its perimeter?