Q1:

Find the inradius of a right-angle triangle given below.

Q2:

Average age of a family of 5 in 2010 member is 15.A new member is born in the family in 2010.Find the average age of family on 4^th birth day of youngest member.

Q3:

In the following figure, O is the center of the circle and PT is the tangent to the circle at T. If PC = 3 cm and PT = 6 cm, find the radius of the circle.

Q4:

From the top of a lighthouse, a man observes two ships on the same side at an angle of 60° and 45°. If the height of the lighthouse is 80 m; find the distance between two ships.

Q5:

Find the value of $\angle \mathrm{a }$and $\angle \mathrm{b }$in the given figure. O is the center of the circle.

Q6:

A goes from P to Q at the speed of 40 km/hr and returned at the speed of 60 km/hr. The average speed of A during the whole journey is -

Q7:

B  is four times of A.In 5 years B will be thrice of A .In how many years A will be half the age of B

Q8:

Rajiv decided to go for dinner along with his 12 friends. He paid Rs.145, and all of his friends paid an equal amount. Later they found out that the average amount that was to be paid by all of them was 5 more than what was paid by each of Rajiiv's friend. How much money did each of his friends pay?

Q9:

In the given figure $\overline{PQ}\perp \overline{QR}$ and $\overline{PQ}\perp \overline{PS}$. What is y in terms of x?

Q10:

If average of $a+\frac{1}{a}$is 2K(a>0).Find the average of $a^{2}and\frac{1}{a^2}$

Q11:

If two parallel sides of a trapezium are 12 cm and 22 cm and one of none – parallel side is 13 cm, find the area of the trapezium

Q12:

What is the average of the first four even multiple of 7?

Q13:

In the given circle, find $\angle PSR$.

Q14:

We are given seven natural numbers, if the average of the first five numbers is 25 and that of the last five is 40, and also the sum of the first two numbers is 21, then find the average of the last two numbers.

Q15:

A person goes to Gandhi Maidan from Patna Junction by 12 km/hr and then from Gandhi Maidan to Danapur by 16 km/hr.

(A) Find his average speed.

(B) Distance of Gandhi Maidan from Patna Junction is 36 km and the distance between Gandhi Maidan to Danapur is 4/3^rd of the distance of Gandhi Maidan to Patna Junction.