P is the product of first 30 multiples of 30. N is the total number of factors of P. In how many ways N can be written as the product of two natural numbers such that the HCF of these two natural numbers is 19?
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shortcut way to solve this question - here the answer should be a power of 2. I don't know why but CL people say so. can anybody give the reason .
2 men left simultaneously from two places P and Q. one of them P for Q and the other Q for P . both travelled with his own uniform velocity. having arrived at their destinations, they turned back to their starting points without stopping . first time they met on their journey d1 km from P and the second time on their return journey ,they met d2 km from Q. if ' d ' is the distance between P and Q find d in terms of d1 and d2.
Triangle ABC right angled at B. D and E are 2 points on BC and AB such that.. BD = 8, BE 6, AE = 10, CD = 10. Find area of EODB(O is point where AD and CE meet)
x, y, and z are the three contestants in a kilometre race. If x can give y a start of 50 metres and x can also give z a start of 69 metres, how many metres start y can give z?
In a 1 km race, B takes 3 minutes more than A and 1 minute less than C. Also B beats C by 12 sec in a 200 m race. If A runs at the speed of 10 km/h in 1 km race, what is C's speed?
A and B are participating in a 500 m race. A gives B a lead of 50 m and beats him by a distance of 10 m. If A completes the race in 30 minutes, a finishes the race _____________ minutes before B.
A and B start together from the same point on a walking match around a circular course. After half an hour A has walked three complete circuits and B four and a half. Assuming each walks with uniform speed, find when B overtakes A.