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Factorise:

$x^4+y^4-27x^2{y}^2$

Express 0.75 as a rational number.

Evaluate :
$\sqrt[3]{364}$

Find the difference between the compound interest and simple interest. On a sum of Rs. 50000 at $10\%$ per annum for 2 years.

By using the formula, find the amount and compound interest on:

A sum of money amounts to Rs 10240 in 2 years at 6 2/3% per annum, compounded annually. Find the sum.

Scientific notation of 156,600,000,000 m is given as

1. 2

Rohan can paint $\frac{1}{3}$ of a painting in 6 days. HOw many days wil he take to complete the painting?

Question 61

In the following question, state whether the statement is True (T) or False (F):

$(a+b)(a-b)=a^2-b^2$

Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.

Find the probability of the pointer stopping on $D$ from the given figure.

Explain the sign changing part while subtracting it's confusing

If the distance between the top of two trees of height 20 m and 28 m is 17 m, then the horizontal distance between the trees is:

The square root of a number whose prime factorisation is

2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 is:

Factorise:

$4x^4+9y^4+11x^2{y}^2$

write five rational number which are smaller than -4

From the above pie chart find out: a) The fraction of students interested in science. b) The fraction of students interested in social studies and maths. [3 MARKS]

A shopkeeper sold two bats which have a cost price of ₹6000 each. He makes a profit of 10% on one bat but a loss of 5% on the other bat. Find the overall profit or loss in the entire transaction.

Which one of the following solids can be formed using the net given?

What is the sum of money on which the difference between CI and SI in 2years is Rs.15 at the interest of 50percent p.a

Consider the figure:

If $\angle A={50}^{\circ }$​, $\angle ACD={120}^{\circ }$​, and x = 2y, then find the value of $\angle B$ (in degrees).

The circular wire of diameter 10cm is cut and placed along the circumference of a circle of diameter 1 metre. The angle subtended by the wire at the centre of the circle is equal to

[MNR 1974]

2x and 1 are the ___ of the algebraic expression 2x + 1.

The marked price of a frock is ₹220. The selling price of the frock after a discount of $20\%$ is ₹___ .

Which of the following statements are true and which are false ?

(i) Every whole number is a rational number

(ii) Every integer is a rational number

(iii) 0 is a whole number but it is not a rational number.

ABCD is a parallelogram whose area is 54 $c{m}^2$. The area of triangle AEB is _____ $c{m}^2$.

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A certain sum of money amounts to ₹ 1008 in 2 years and to ₹ 1164 in 3.5 years under simple interest. Find the rate of interest.

Factorise : $2a^2-17ab+26b^2$

Discuss the important properties of parallelogram with appropriate diagrams.

1. 5600

Question 8
Find the values of the letters in the following and give reasons for the steps involved.
$A1$
$\underset{–}{+1B}$
$\underset{–}{B0}$

Below figure is a prism having square as the base. Find the number of faces and edges.

A 5 cm cube is cut into 1 cm cubes. The percentage increase in the surface area after such cutting is