thanks for helping me out with the previous question. Please help me with this one too.
there are two identical circles. each of them pass through the centre of each other. The area common is (32/3)π-8√3 sq units. Find the radius of the circle.
If x, y and z are the lengths of the sides of a triangle and xyz = x + y + z, which of the following cannot be the value of (x + y + z)2 − (x2 + y2 + z2)?
In a certain water body, 50 fish were caught, tagged, and released to the same water body. A few days later, 50 fish were caught again, of which 2 were found to have been tagged on previous occasion. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the water body, what is the approximate number of fish in the water body?
A car is travelling at uniform speed where driver sees a milestone of two digit number .After an hour the number reverses .after one more hour the digits remain the same with a 0 inbetween. calculate average speed?
Rasm went to his cousin's house in holidays where they used to jog in the morning or play tennis in the evening . but they used to get tired and play just one sport in a day and at times they dont use to play anything. If 12 mornings they did nothing.18 evenings they did nothing and 14 days they played tennis or joged. For how many days Rasm was at his cousin's.
Ajay and Vijay had p coins and q coins respectively. Each of them starting with Ajay quadruple the number of coins with the other alternately. After 2N times of quadrupling the number of coins with the other where N is any positive integer greater than 10, each of them had the initial number of coins. p/q must be equal to...?
Two friends – Prakash and Arpit – started running simultaneously from a point P in the same direction along a straight running track. The ratio of the speeds of Prakash and Arpit was 2 : 5 respectively. Two hours later, Arpit turned back and started running backwards at one-fifth of his original speed. He met Prakash at a distance of 10 km from the point P. What was Prakash’s speed?
Ramlal has a safe which has five locks with different keys and can only be opened by inserting all the keys in their correct locks. Ramlal’s servant Chhotu steals the keys from Ramlal and tries to open the safe. He observes that there are five lights above the locks and whenever he inserts all the keys inside the locks, some of the lights flash. He then remembers his master saying that the flashing lights indicate how many keys are inserted inside right locks i.e., if only one light flashes, only one key is inside the right lock. Find the probability that when he inserts the keys, exactly two lights flash.
3 different papers are to be distributed among 6 students sitting in a row. In how many ways can this be done so that no adjacent students get the same paper? (in numerical value)