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Question 36

The volume of a cylinder which exactly fits in a cube of side a is ___.

3/4*(2/3+5/7)

In which of the following triangles at least one of the altitudes and medians are same?

The sum of the three sides of a triangle is greater than the sum of its three ___.

(-9÷4×5÷3)-(-13÷2×6÷-169)

How can I find cube root of a 9 digit number

Is x_/2 a polynomial?

Factorise: 5√5 x^2 + 30x + 8√5 by splitting the middle term

Which of the following is not correct?

Can anyone send me some numericals?

Express each o fthe following rational numbers with a negative exponent:

$\left(i\right){\left(\frac{1}{4}\right)}^3\left(ii\right)3^5\left(iii\right){\left(\frac{3}{5}\right)}^4\left(iv\right){\left\{{\left(\frac{3}{2}\right)}^4\right\}}^{-3}\left(iv\right){\left\{{\left(\frac{7}{3}\right)}^4\right\}}^{-3}$

t² + 7t + 10

If the radius of a circle is 14 cm then its circumference is:

In the given figure, what is the measurement of YXZ?

Question 95(i)

The weights (in kg) of 30 students of a class are as follows :
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,
31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26
Prepare a frequency distribution table using one class interval as (30-35), 35 not included.
(i) Which class has the least frequency ?

A building is in the form of a cuboid with an overhead tank in the form of a cylinder such that the tank spans halfway across the length of the building. Find the volume of the entire structure if the dimensions of the building is $20m\times 10m\times 20m$ and the height of the tank is 5m.

The strength of a class is 55. The ratio of boys to girls is 9:2. Find the number of boys in the class

Between any two numbers, there can be an infinite number of____.

(i) natural numbers
(ii) whole numbers
(iii) integers
(iv) rational numbers

Question 4 (ii)
Which of the following can be the sides of a right triangle?
2 cm, 2 cm, 5cm
In the case of right angled triangles, identify the right angles.

A solid metallic cuboid of dimensions $10cm\times 5cm\times 3cm$ is melted and cast into a box, of thickness $0.5$ cm without lid. If the outer measurements of the base are $12cm\times 5cm$. find the height of the box.

Why dry ice sublimates slowly?

If the interest on rupees 2,400 be more then the interest on rupees 2000 buy rupee 60 in 3 year at the same rate percent find the rate?

If both x- 1 and 2x-1 are factors of px square +5 x+ r, show that p= r.

If a(2+√3)=b(2-√3). Then find the value of ab .

A small steel ball of radius $r$ is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity $\eta$ . After some time the velocity of the ball attains a constant value known as terminal velocity $v_r$. The terminal velocity depends on $\left(i\right)$ the mass of the ball $m,\left(ii\right)\eta ,\left(iii\right)rand\left(iv\right)$ acceleration due to gravity $g$ . Which of the following relations is dimensionally correct

A linear equation in one variable is

The area of the shaded region in the figure given below is:

Choose the correct option which describes the number 123 in its general form.

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?

A well 14m inside diameter is dug 15m deep. Earth taken out is spread all around to a wridth of 7m to form a embankment. Find the height of the embankment.

Which of the following are similar?

LSA of cube having side 3 cm is

Find the least number that must be added to 1300 so as to get a perfect square. Also find the square root of the perfect square? [3 MARKS]

Evaluate :

$\left(i\right)(-5{)}^{\circ }(ii)8^{\circ }+4^{\circ }+2^{\circ }(iii\left)\right(8+4+2{)}^{\circ }\left(iv\right)4x^{\circ }\left(v\right)\left(4x{)}^{\circ }\right(vi\left)\right[\left({10}^3{)}^{\circ }{]}^5\right(vii\left)\right(7x^{\circ }{)}^2\left(viii\right)9^{\circ }+9^{-1}-9^{-2}+9^{\frac{1}{2}}-9^{-\frac{1}{2}}$

Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the corresponding angles and the side included between them, of the other triangle. This condition is

To construct a parallelogram whose one side and two diagonals are given, which property of the parallelogram do we use?

Factorize the following :

$20a^{12}{b}^2-15a^8{b}^4$

$\text{The data given below shows number of hours spent by a school boy on different activities on a working day.}$

$\begin{array}{ccccccc}\text{Activity}& \text{School}& \text{Homework}& \text{Play}& \text{Sleep}& \text{Other}& \text{Total}\\ \text{Number of hours}& 7& 4& 2& 8& 3& 24\end{array}$

$\text{Represent the above data by a pie chart.}$