The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?

In ΔABC, ∠C=90° and CD is perpendicular to AB at D. If AD/BD=$$ {\sqrt{k}}$$, then AC/BC=?

A man travelled a distance of 60 kms in 10 hours . He travelled partly on foot at 5 kms per hour and partly on bicycle at 7 kms per hour . What is the distance travelled on foot ? 

A train travels the distance between station P and Q at a speed of 126 km/h, while in the opposite direction it comes back at 90 km/h. Another train travels the same distance at the average speed of the first train. The time taken by the second train to travel 525 km is:

Direction: The following table shows the number of students of 7 colleges A, B, C, D, E, F, G participating in extra-curricular activities :

The college in which minimum number of students participate in extracurricular activities is ? 

Three numbers are in the ratio of 5: 6: 7. If the product of those numbers is 5670 then the largest number is-

Direction: Study the following information and answer the related questions. P, Q, R, S, T, A, B, C, D and E are employees of a company. A table shows the average age of any two employees of the company. The average age of A and B is 27.5.
i.e. average age of A & P is given as (A+P)/2=39.5

What is the ratio of ages of Q and E?

A person can hit a target 5 times out of 8 shots. If he fires 10 shots, what is the probability that he will the target twice?