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Which one of these is a simple closed curve?

The organisers of an essay competition decide that the winner in the competition gets a prize of ₹100 and the participant who does not win gets a prize of ₹25. The total prize money 💰 distributed is ₹3000. Find the no. of winners.

The cube root of 28 lies between

The figure shows a regular pentagon and equilateral triangles are put together. Then which of the following statements are true?

Use the identity (x + a) (x + b) = x²
+ (a + b)x + ab to find the following products.

(i) (x + 3) (x
+ 7) (ii) (4x +5) (4x + 1)

(iii) (4x −
5) (4x − 1) (iv) (4x + 5) (4x − 1)

(v) (2x +5y)
(2x + 3y) (vi) (2a² +9) (2a²
+ 5)

(vii) (xyz −
4) (xyz − 2)

In the given frequency distribution, median term(s) is/are ______.

$\begin{array}{cc}Ageinyears& Numberofpeople\\ 15& 3\\ 16& 8\\ 17& 10\\ 18& 10\\ 19& 5\\ 20& 4\end{array}$

The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively and the angle between the first two sides is a right angle. Find its area.

What is the digit at units place of 9^9.

In compound interest, the principal amount ₹ 2000 became ₹ 3500 after first year, then the principal for second year = ______

Find the additive inverses of the following integers:

6, 9, 123, −76, −85, 1000

The floor of a building consists of $3000$ tiles which are rhombus shaped and each of its diagonals are $45cm$ and $30cm$ in length. Find the total cost of polishing the floor, if the cost per $m^2$ is $Rs.4$.

$\frac{1}{8}$th of a number is equal to equal $\frac{2}{5}÷\frac{1}{20},$ what is the number?

What should be subtracted from $\frac{-2}{3}$ to get $\frac{5}{6}$?

The mean of first 10 natural numbers is ______.

In the given figure, AB and CD are two straight lines intersecting at O. If $\angle \text{AOC and}\angle BOC\text{are 1:3 in ratio, then find}$

$\angle \text{BOD}and\angle \text{AOD, respectively}.$

A pizza box contains 8 sachets of oregano. How many sachets are there in 5 pizza boxes?

A 3×3×3 rubik's cube has a volume of 27 $c{m}^3$. Find the volume of each indvidual small cube.

1. 4225

20:15 hours is read as ___.

If the length, breadth and height of a cuboid are in ratio 3: 4: 5 and its volume is 48000cm${}^3$ then find the length, breadth and height of the cuboid.

Identify the region that represents x${}^2$.

The length and corresponding height of a parallelogram is 6m and 8m respectively. The area of the parallelogram is ______

Suppose ABC is a triangle in which BE and CF are respectively the perpendiculars to the sides AC and AB. If BE = CF, prove that triangle ABC is isosceles.

Find
ten rational numbers between
and.

Find the square of the following numbers

(i) 32 (ii) 35

(iii) 86 (iv) 93

(v) 71 (vi) 46

Factorise the following expressions

(i) p² + 6p + 8

(ii) q² − 10q + 21

(iii) p² + 6p − 16

On a Graph sheet a scale has been used. $2$cm on X - axis represents 1 km in reality and 1 cm on Y - axis represents $1$Km/ hr Speed.

If the Ratio between Distance and speed of a moving vehicle is $3:4$ and a Distance of $12$km has been covered at $16$km/hr, What will be the X - coordinate ?

क्यातुमजानतेहोदुनियाभरमेंकईप्रकारकेकैलेंडरोंकाइस्तेमालहोताहै।नीचेदोप्रकारकेकैलेंडरदिएगएहैं।इन्हेंदेखोऔरप्रश्नोंकेउत्तरदो।

(क)इनकैलेंडरोंमेंसेकौन-साकैलेंडरचंद्रमाकेअनुसारहै?

(ख)क्यातुम्हारेआस-पासइनदोनोंकैलेंडरोंकाइस्तेमालहोताहै?यदिहोताहैतोकिन-किनमौकोंपर?

(ग)कृष्णपक्षऔरशुक्लपक्षकाक्याअर्थहोताहै?

Find the smallest number by which 8788 must be multiplied to obtain a perfect cube

Factorise : $a^4-(a^2-3b^2{)}^2$

At what rate %p.a. will a sum of Rs.4000 yield Rs.1324 as compound interest in 3 years

Factors for $a^2{b}^2+c^2{d}^2-a^2{c}^2-b^2{d}^2$ are:

Assume line "m" and line "n" are parallel lines that are cut by the transversal line "l." Find the value of "x."

Making use of the cub e root table, find the cube root s of the (correct to three decimal places)
0.27