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A third of Arjun's marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?

If the mean of 1002, 1004, 1006, 1008, 1010 is $(n{)}^3+6$, then find the value of n - 2.

Zero of the polynomial p(x) = cx + d is:

Which of the following is a solution of 3x + 4y = 2?

The base of a prism is a rectangle of sides 6 cm and 8 cm and its height is 12 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the lateral surface of each of these triangular prisms?

Find the fourth proportion: 5, 75 and 3.

Which one of these is an integer?

Question 34

A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is___.

Find the area of a quadrilateral ABCD in which AD = 24 cm, $\angle BAD={90}^0$ and BCD forms an equilateral triangle whose each side is equal to 26 cm. (Take $\sqrt{3}=1.73)$

In the figure, if $BP\left|\right|CQ$ and AC= BC, then the measure of x is

In the figure, AB||CD||EF and GH||KL. Find $\angle HKL$.

The class size of a distribution is 25 and the first class- interval is 200- 224. There are seven class - intervals.
(i) Write the class - intervals.
(ii) Write the class - marks of each interval.

Solve for $x$:

${\left(\frac{2}{5}\right)}^{2x-2}=\frac{32}{3125}$

The solution of the following pair of linear equations is:
(i) x + y = 6
(ii) x - y = 2

Range of data 70, 65, 71, 36, 55, 61, 62, 41, 40, 39, 35 is

Choose the correct answer in each of the following questions:
If the mean of x, x + 3, x+5, x +7, x+ 10 is 9, the mean of the last three observations is
(a) $10\frac{1}{3}$
(b) $10\frac{2}{3}$
(c) $11\frac{1}{3}$
(d) $11\frac{2}{3}$

The average weekly payment to $75$ workers in a factory is $Rs.5680$. The mean weekly payment to $25$ of them is $Rs.5400$ and that of $30$ others is $Rs.5700$. Find the mean weekly payment of the remaining workers.

What is the perimeter of the given figure ABCD ? ( Take $\sqrt{2}$ = 1.4 and $\sqrt{5}$ = 2.2 )

$\text{The volume of a sphere of radius 10.5 cm is}\left(a\right)9702c{m}^3\left(b\right)4851c{m}^3\left(c\right)19404c{m}^3\left(d\right)14553c{m}^3$

The vertex A of $△ABC$ is joined to a point D on BC.If E is the midpoint od AD then ar($△BEC)$=?

(a) $\frac{1}{2}ar\left(△ABC\right)$

(b) $\frac{1}{3}ar\left(△ABC\right)$

(c) $\frac{1}{4}ar\left(△ABC\right)$

(d) $\frac{1}{6}ar\left(△ABC\right)$

In the given figure, $BOC$ is a diameter of a circle and $AB=AC.$ Then, $\angle ABC=?$

(a) ${30}^{\circ }$

(b) ${45}^{\circ }$

(c) ${60}^{\circ }$

(d) ${90}^{\circ }$

The factors of $8a^3+b^3-6ab+1$ are:

$\text{In the given figure,}AB||CDandEF\text{is a transversal.If}\angle AEF={65}^{\circ },\angle DFG={30}^{\circ },\angle EGF={90}^{\circ }and\angle GEF=x^{\circ },findthevalueofx.$

Factorise:
$x-64x^3$

Is it possible to construct a triangle with lengths of its sides as given below? Give reason for your answer.

(i) 5 cm, 4 cm, 9 cm (ii) 8 cm, 7 cm, 4 cm

(iii) 10 cm, 5 cm, 6 cm (iv) 2.5 cm, 5 cm, 7 cm

(v) 3 cm, 4 cm, 8 cm

What are the possible expressions for the dimensions of the cuboid whose volumes are given below?
(i) Volume: ${3x}^2-12x$

(ii) Volume: $12k{y}^2+8ky-20k$

In the step division method of calculating mean, we divide the deviations by the ___ of class intervals to simplify calculations.

In the given figure, $AB=AC=CD$ and $\angle ADC={38}^{\circ }$.

Calculate :

(i) $\angle ABC$

(ii) $\angle BEC$

The edges of a surface are

Question 3
Radha made a picture of an aero plane with colored papers as shown in the given figure. Find the total area of the paper used.

XYZ is an equilateral triangle and PQRS is a square. The figure has been cut and rearranged in the form of a trapezium.

What is the perimeter of the given trapezium ABEF? Take $\sqrt{2}$ = 1.4 and $\sqrt{3}$ = 1.7 (The triangle given is Equilateral)

If $\sqrt{2}=1.4142$, then $\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}$ is equal to

Euclidean geometry only deals with objects in:

For any positive real number x, find the value of ${\left(\frac{x^a}{x^b}\right)}^{a+b}\times {\left(\frac{x^b}{x^c}\right)}^{b+c}\times {\left(\frac{x^c}{x^a}\right)}^{c+a}$

The volume of a cuboid with length $x$, breadth $y$, and height $h$ is ____.

Find the value of ${}^{20}{P}_2$

The graph of the line y = 3 passes through the point

(a) (3, 0)

(b) (3, 2)

(c) (2, 3)

(d) none of these

The numbers of sides of two regular sides of two regular polygons are in the ratio 4: 5 and their interior angles are in the ratio 15: 16, find the difference in the number of sides of the polygons.

What is pi? Why is it used for solving sums in maths?

What is the market value of a 'unit' called when we are investing in mutual funds?

At a closing down sale, a book store was selling 3 books and 5 notebooks for Rs 309 or 6 books and 2 notebooks for Rs 282. How much would one book and 1 notebook cost?

Write the values of a, b and c for the equation $y=0.5x+\sqrt{7}$
when written in the standard form where $ax+by+c=0:$

Write whether the following are rational or irrational:

(4-√7)²