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One tenth of 100 is ____.

Find the cost of leveling a plot of ground in the form of a quadrilateral at Rs. 2.50 per sq. meter whose diagonal measures 75 m and its offsets measure 50 m and 40 m respectively.

In the adjoining figure, O is the centre of the circle and PQ, RS are its equal chords, OD $\perp$ PQ and OE $\perp$ RS. If $\angle DOE={130}^{\circ },$ then $\angle PDE$ (in degrees) = ___.

1. 65

Find the median

Find the mode of the following data.

$$\begin{array}{cccccc}{x}_i& 10& 14& 18& 21& 25\\ f_i& 10& 15& 7& 9& 9\end{array}$$

1. 65

$(2+2\lambda +\mu )x^2+(1+2\lambda +2\mu )y^2+(3+5\lambda +3\mu )xy$

$-(16+14\lambda +11\mu )x-(10+13\lambda +17\mu )+(24+20\lambda +30\mu )=0$ is an equation of circle only when

Find the median of the following data:

92,35,67,85,72,81,56,51,42,69

The value of $\frac{4+\sqrt{5}}{4-\sqrt{5}}+\frac{4-\sqrt{5}}{4+\sqrt{5}}$ is:

If $f\left(x\right)=\left|\begin{array}{ccc}1& x& x+1\\ 2x& x(x-1)& (x+1)x\\ 3x(x-1)& x(x-1)(x-2)& x(x-1)(x+1)\end{array}\right|,$ then

$f\left(500\right)$ is equal to

The sides of an equilateral triangle are (2a - b + 5), (a + b) and (2b - a + 2). What is the area of the triangle?

What is the present worth of a house which would be worth Rs 50000 after 3 years, if it depreciates at the rate of $10\%$?

(Activity) Calculate how many years and months ahead from now Margie’s diary entry is.

The pair of lines and $2x-7y-5=0$ are consistent.

For the given figure, find the relation between the chords, $AB$ and $CD$.

Question 58

For fixed time period and rate of interest, the simple interest is directly proportional to the principal.

The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane is called ______.

1. 480

A box has to be built with length 8 m, breadth 3 m and height 5 m. Find the volume of the box in cubic cm.

If two positive integers p and q can be written $p=a^{2}b$ and $q=a{b}^2$ , where p and q are prime numbers, then the LCM(p, q) is .

The value of the polynomial $-5x+3$ at $x=0$ is ______.

State whether the following statements are true or false. Give reasons for your answer.

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

Raghu travelled 30 km by car in 2 litres of petrol. How many litres of petrol is required to travel 150 km?

Berlia Ltd purchased a second hand machine for Rs 56,000 on July 1, 2001 and spent Rs 24,000 on its repair and installation and Rs 5,000 for its carriage. On September 1, 2002, it purchased another machine for Rs 2,50,000 and spent Rs 10,000 on its installation.

(a) Depreciation is provided on machinery $10\%$ per annum on original cost method annually on December 31. Prepare Machinery account and Depreciation account from the year 2001 to 2004.

(b) Prepare Machinery account and Depreciation account from the year 2001 to 2004. If depreciation is provided on machinery $10\%$ per annum on written down value method annually on December 31.

The mean of 150 items was found to be 60. Later on, it was discovered that the values of two items were misread as 52 and 8 instead of 152 and 88 respectively. Find the correct mean.

Using identities, evaluate:
$1.05\times 9.5$

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x).

f(x) = $x^3-6x^2$ - 19x + 84, g(x) = x - 7

Represent on the number line.

In fig., If PQ $\parallel$ BC and PR $\parallel$CD. Prove that $\frac{AR}{AD}$= $\frac{AQ}{AB}$.

Can the following points form a triangle?
A(5, 5), B(4, 4) and C(3, 3)
If yes, which triangle it could be?

(i) How many lines can pass through a given point?

(ii) In how many points can two distinct lines at the most intersect?