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We know that, any factor of the (25 × 33 × 52) can be expressed as 2a × 3b × 5c, where a ranges from 0 to 5, b ranges from 0 to 3 and c ranges from 0 to 2. Here, we need to find even factors of 25× 33× 52, so there has to be at least one factor of 2 in the given number. So, a will range from 1 to 5. As a result, a can take 5 values, b can take 4 values and c can take 3 values. ∴ Total number of even factors = 5 × 4 × 3 = 60
A boy can swim in water with a speed of 14 km/hr in still water. If the speed of the stream is 6 km/hr, what will be the time taken by the boy to cover ...
Speed of a boat in downstream is 50% more than that in upstream. Total time to travel 48 km upstream and 36 km downstream is 6 hours. What is the speed ...
A boat has a speed of 30 km/h in still water. When the boat travels downstream in a stream, its speed increases by 50% compared to when it moves upstre...
The speed of a boat in still water is 30 km/hr. If the boat covers 240 km in upstream in 12 hours, then find the time taken by the boat to travel 140 km...
A boat can travel 72 km upstream and 108 km downstream in 5 hours. Find the speed of the boat in still water if the ratio of the ...
A boat takes 1/12th time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the curren...
A captain can navigate a ship at a speed of 5 km/hr in calm waters. With a current moving at a speed of 3 km/hr, he takes 12 hours longer to travel 'd' ...
A, B and C started a business by investing in the ratio 1/5 : 1/4 : 2/6. After 6 months C withdrew 1/4 of his investment. If after 1 year from start of ...
Time taken by a boat to cover 180 km in downstream is the same as to cover 140 km in upstream. Find the time taken by the boat to cover 360 km in downst...
The speed of the stream is 10 km/h. Boat ‘A’ covers 180 km distance against the stream in 6 hours and boat ‘B’ covers 90 km distance against the...
