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The value of $12\frac{1}{4}\times 8\frac{1}{2}$ calculated using binomial multiplication is

Sphere is a __ dimensional figure.

The area of a trapezium is 279 sq. cm and the distance between its two parallel sides is 18 cm. If one of its parallel sides Is longer than the other side by 5 cm, find the lengths of its parallel sides.

Find the height of a cuboid whose volume is 300 cm³ and base area is 25 cm².

Solve: $(x^2-7x+12)÷(x-4)$

The number of students in three classes are in the ratio $2:3:4.$ If $12$ students are increased in each class, this ratio changes to $8:11:14.$ The total number of students in the three classes in the beginning was

The angles $\angle 1,\angle 2,\angle 3,\angle 4$ are in the ratio 1 : 2: 3: 4. The measure of the largest angle is ___ degrees.

The set $\{\frac{7}{8},\frac{8}{9},\frac{9}{10},\frac{10}{11},\frac{11}{12}\}$ expressed in set-builder form is ____. (Here, N represents the set of natural numbers.)

Team $‘A^{\prime }$ consists of $7$ boys and n girls and Team $‘B^{\prime }$ has $4$ boys and $6$ girls. If a

total of $52$ single matches can be arranged between these two teams when a

boy plays against a boy and a girl plays against a girl, then $n$ is equal to:

In the following figure, what can be concluded from the given conditions.

Given: AB = CD and AC = DE.

Question 18

Fill in the blanks to make each statement true:

The solution of te equation 2y=5y-$\frac{18}{5}$ is ..............

A saree dealer allows a discount of 10% on marked price. Hiw much above Cost Price must he mark his sarees to gain 8%? Explain the ans with proper steps and reason

Factorise : $2a{b}^2-aby+2cby-c{y}^2$

Is it possible to have the adjacent multiplication table? Give reasons.

Which among the following represents the selection of $5$ maths books from $20$ maths books and selection of $8$ english books from $15$ english books?

Evaluate after rationalising the denominator of (25/√40-√80), it being given that √5=2.236 and √10=3.162.

Which of the following are true?

The following data relates to the expenses of a household in Bangalore.

$\begin{array}{cc}\text{Items}& \text{Expenditure(in Rs)}\\ \text{Food}& 4000\\ \text{Clothing}& 2000\\ \text{Rent}& 1500\\ \text{Education}& 1500\\ \text{Miscellaneous}& 1000\end{array}$

What will be the central angle of clothing?

A lucky draw machine is filled with $10$ colored balls as $5$ red, $3$ green, and $2$ blue. Machine selects $2$ balls one by one withouth replacement. What is the probability that no two balls are of the same color?

Question 19

Write the correct answer from the given four options.

$\sqrt[3]{31000}$ is equal to

a) 10

b) 100

c) 1

d) None of these

Square prism is also known as__________.

A large cube is painted on all six faces and then cut into a certain number of smaller but identical cubes. It was found that among the smaller cubes, there were eight cubes which had no face painted at all. How many smaller cubes was the original large cube cut into?

What would be the irreducible factor form of $z^3-z$?

The length and the breadth of a rectangular field are in the ratio 5 : 4 and its area is 3380 $m^2$. Find the cost of fencing it at the rate of Rs 75 per m.

In a triangle ABC, D is the midpoint of AB and E is the midpoint of AC. If BC = 11 cm, then DE = ___ cm.

The cube of 0 is

A shopkeeper offers $10\%$ off-season discount to the customers and still makes a profit of $26\%$. What is the cost price for the shopkeeper on a pair of shoes marked at Rs. 1120?

Refer to the following figure:

D and C are equidistant from O.

If any point P is located such that $△$ ODP is congurent to $△$ OCP, then P lies on the ________.

If x and y are distinct integers, then which of the following is true about $\frac{x+y}{2}$?