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The maximum of the distance between any two points of a unit cube is, in proper units 

A train started at 9 AM from a station A with a speed of 72 km/hr. Another train after two hours started from the station B towards A with a speed of 90 km/ph. The two trains are expected to cross each other at 1.30 PM. At 12 noon because of the signals both the trains reduced their speeds by the same quantity and they crossed each other at 4.30 PM. The speed of the train, after 12 noon, that started from the station A, is

A left his house for school t min late from normal time and travelled with \(\frac{4}{3}\) of his usual speed and reached the school in t minutes early. Next day he left home, t minutes early than the previous day and travelled with \(\frac{8}{11}\) of his usual speed. He reached his school in

Two points A and B lie along a line at a distance of 120km apart. P and Q start at the same time from A and B with speeds 40km/h and 60km/h respectively. They travel towards each other and after their meeting for the first time, they then go in reverse directions and also interchange their speeds. These speeds are continued in their further journey. After reaching their respective starting points, they reverse their directions of travel and proceed towards each other again. The time taken by them to meet each other 2^nd time is

A person rows a distance of 12 kms in down stream and returns to the starting point. The difference between the times taken to travel in down stream and that of upstream is 6 hours. If he doubles his speed throughout the above trip, then the difference between the times taken to cover in down stream and upstream is 1 hour. Then the speed of the current in km per hour is

Certain amount is divided into 3 parts such that those parts yields the equal interest after 1, 2 and 3 years respectively at 4% simple interest per annum. Then the ratio between the three parts respectively is

A man borrows Rs. 5000 at the rate of 10% compound interest per annum. At the end of each year he pays back Rs. 1500 for the first 2 years. The amount he should pay at the end of 3^rd year to clear the loan (in Rs.) is

The equal annual installment which clears the debt of Rs. 7620 due in 3 years at \(16\frac{2}{3}%\) per annum compounded is (in Rs.)

A tree is growing in height at the rate of 10% per annum. The present height of the tree is 1815 cm. The height of the tree 3 years back was (approximately) in cms

Two partners invested Rs. 1,25,000 and Rs. 85,000 respectively in a business. They agreed to share 60% of the profit equally and the remaining profit as interest on their respective capitals. If one partner gets Rs. 300 more than the other partner, the profit on the business is (in Rs)