Explore topic-wise InterviewSolutions in .

1. 31

A polygon is drawn inside a circle of radius 7 cm.

What is the area of the shaded region (in $c{m}^2)$ if the area of the polygon is 24$\pi$ $c{m}^2$ ?

Question 86 (vii)

Using suitable identities, evaluate the following:

$47\times 53$

The price of sugar is increased by 20%. By what percent must the consumption of sugar be decreased so that the expenditure on sugar may remain the same ?

Question 4(i)
Identify the greater number, wherever possible, in each of the following:
(i) $4^{3}and{3}^4$

What least number must be added to $526$ to make it a perfect square?
(a) $3$
(b) $2$
(c) $1$
(d) $6$

The three sides of a triangle are equal to the corresponding three sides of another triangle, then the triangles are congruent by which criteria?

$(-5xy)\times (-3x^{2}yz)$

Question 84 (ii)

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose, various shades are tried by mixing containers of blue paint and white paint. In each of the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

In the given magic square, the magic sum is three times of ______.

Simplify using law(s) of exponents: $\sqrt{98}$

Find the value of
$\frac{3}{5}\times (\frac{35}{24}+\frac{10}{1})$

Factorise the following using the identity $a^2-b^2=(a+b)(a-b).$

$9x^2-(3y+z{)}^2$

Factorise:
$z^2+19z-150$

if a+b+c=6 , a²+b²+c²=14 and a³+b³+c³=36 then find the value of (abc) ?

Following graph shows the distance covered by airplane at the given particular time:

The distance covered at 10:00 AM is:

The sides of a rectangle are in the Ratio 8 : 10. By what fraction should the shorter side be increased to make it a square?

A farmer has a field of area $49\frac{4}{5}$ha. He wants to divide it equally among his one son and two daughters. Find the area of each one’s share.

Sum of all interior angles of a convex polygon with five sides is _______ .

Which of the following is the factorised form of $20l^{2}m+30alm?$

Question 45

The difference between the upper and lower limits of a class interval is called the ___ of the class interval ?

A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find : (i) its cost price; (ii) the profit percent.

Volume of a cube having side 92 cm=

By inserting parenthesis (that is brackets), you can get several values for 2 × 3 + 4 × 5. (For example ((2 × 3) + 4) × 5 is one way of inserting parenthesis). How many such values are there?

$\text{If}1125=3^x\times 5^y\text{then find the value of}$

$x+y.$

Shishir is trying to express every cube as the sum of consecutive odd numbers. He is struggling to express $7^3$ in this way. Can you find the odd numbers whose sum leads to $7^3$?

In the given figure, AB and CD intersect at O. If AC = DB and $\angle ACO=\angle DBO$ then which of the following is true ?

Factorise:
$m^2-4mn+4n^2$

Question 4 (i)

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:

402

In the given figure, O is equidistant from the sides AC and AB. Then the value of x - 3 is