Instructions

For the following questions answer them individually

Question 1

Ankit runs 324 metres every day for his fitness. According to his daily routine in how many days he covers 8.1 km.

Question 3

Determine the value of $$\frac{a^2+b^2}{a^3+b^3}$$ Â $$a=2+\sqrt{3}$$ and $$b=2-\sqrt{3}$$

Question 5

Which of the following triangle is formed when the triangle has all the three medians of equal length?

Question 6

If the ratio of the angle bisector segments of the two equiangular triangles are in the ratio of 3:2 then what is the ratio of the corresponding sides of the two triangles?

Question 8

A box contain equal number of 1 rupee, 2 rupee and 5 rupee coins. If the total amount is Rs 184, then how many coins of each type are there?

Question 9

A 50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

Question 10

In a committee there are 25 members. If two members whose ages are 64 years and 40 years are replaced by the two new members, then average age of 25 members is decreased by 2 years. What is the average age (in years) of the new members?