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Two cyclists start at two points A, B which are separated by 300 meters and moves towards each other with speeds 10 kmph and 5 kmph respectively. From A one travels a distance of x meters and then both of them interchanged their speeds to 5 kmph & 10 kmph respectively. If both of them meet each other exactly at the center, then x =

Pipe A alone can fill a tank in 24 minutes. Pipe B alone can fill the same tank in 36 minutes. Pipe A alone is opened for x minutes and Pipe B alone is opened for y minutes to fill the tank in 30 minutes. Then |x - y| = (in minutes)

In a day the number of times both the hands of a clock coincide is

A train is crossing a platform of length 200 meters in 45 seconds and man standing on the platform in 25 seconds. If a man moves in the direction of the train with a speed of 2 meters per second, then the time taken by the train to cross him is

​Certain amount is lent for 30%, 20% & 10% compound interest successively for 3 years. When the same amount is lent for simple interest at the rate equal to the average of the above mentioned percentages for three years, the difference of the compound interest and simple interest is Rs. 580. Then the principal amount is (in rupees)

\(2\left( \sqrt[3]{\sqrt[2]{11+5}} \times \frac{15}{\sqrt[3]{32}} \right)=\)

On a certain principal amount at the rate of 2% per quarter of an year the simple interest after 24 months is Rs. 960. Then the principal amount is

If (256)2.5 × (16)4.5 ÷ (64)1.6 = 4K, then 5K + 4 =

The marked price of an article is Rs. 800 and a customer buys it for Rs. 612 after two successive discounts. If the discount offered at the second time is 15%, then the discount offered at first is

If the 5 digit number 57xy4 is divisible by 11, then number of such possible numbers is