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The number of books kept in a library are $5a^2{b}^3$. If each shelf has $5a{b}^2$ books, how many shelves are there in the library?

Question 10.
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $\angle ABC={110}^{\circ }$, $\angle DAC={15}^{\circ }$, $\angle CAB={25}^{\circ }$, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

For A = {5,6,7} how many number of proper subsets will be formed?

If $x-y=7$ and $xy=9$, find the value of $(x^2+y^2)$

The length, breadth and height of a room are 11 m, 8 m and 5 m respectively. Find the surface area of its 4 walls and the floor (inclusive of doors and windows).

In the triangle ABC, AB = AC and $\angle A:\angle B=8:5$. Then $\angle A$ equals

The surface area of an open cuboidal box of side x cm is

Question 19

$x-4=-2$ has a solution

(a) 6

(b) 2

(c) - 6

(d) - 2

The perimeter of a rectangle is $46m$ and its length is $15m.$ Find its:

(i) breadth (ii) area (iii) diagonal.

6xsquare-54

The number 5 is added to three times the product of two numbers m and n. What is the expression formed? [2 MARKS]

What is the angle between the hour’s hand and minute’s hand of a clock at (i) 1.40 hours, (ii) 2.15 hours? (Use 1° = 60 minutes).

In which of the following ways can four people hold each other's hands to form a quadrilateral?

Factorise:
$1-6x+9x^2$

If $(x-p)(x-q)=x^2-10x+25,$ then choose the correct relation between $p$ and $q$.

The number of boys and girls are equal in a class. On a day when eight boys did not attend, the number of girls was double the number of boys in this class. What is the actual number of boys and girls?

can a simple curve be closed ?

Expanded form of $243.7=(2\times {10}^2)+(4\times {10}^1)+$ + $(7\times {10}^{-1}$)

Why is -1=-1 in multiplicative inverse

Find the mean age in years from the frequency distribution given below:
$\begin{array}{cc}Classintervalofageinyears& Frequency\left(f_i\right)\\ 25-30& 4\\ 30-35& 14\\ 35-40& 22\\ 40-45& 16\\ 45-50& 6\\ 50-55& 5\\ 55-60& 3\\ Total& 70\end{array}$

In which of the following ways can four people hold each other's hands to form a quadrilateral?

The population of a certain city was 72000 on the last day of the year 1998. During next year it increased by $7\%$ but due to an epidemic it decreased by $10\%$ in the following year. What was its population at the end of the year 2000?

Find the mode for the following data

The marks scored by 20 students in a test are given below: 54,42,68,56,62,71,78,51,72,53,44,58,47,64,41,57,89,53,84,57 Complete the following frequency table:

$\begin{array}{ccc}\text{Marks in class intervals}& \text{Tally marks}& \text{Frequency (No.of children)}\\ 40-50& & \\ 50-60& & \\ 60-70& & \\ 70-80& & \\ 80-90& & \end{array}$

What is the class interval in which the greatest frequency occurs?

Show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume.

If (a, 0) is a point on the line represented by the equation $2x-3y=4,$, find the value of a.

Match the following:
$\begin{array}{cc}\text{A. y}=-\frac{3}{2}-\frac{x}{2};\text{x= -3 -2y}& \text{(i) Inconsistent pair}\\ \text{B. 5x = 6-3y; 9y= 12-15x}& \text{(ii) Dependent pair}\\ \text{C. y}=\frac{2}{7}-\frac{x}{7};\text{y}=\frac{18}{5}-\frac{x}{5}& \text{(iii) Unique solution}\end{array}$

In which of the following quadrilaterals, diagonals bisect each other?

i) Parallelogram

ii) Rhombus

iii) Rectangle

iv) Square

v) Kite

Teacher asked Alok to take the number 352 and reverse its digits. Alok was then asked to find the positive difference between 352 and reversed number. The number he obtained was divisible by: