For the following questions answer them individually
Mohi and Suniti working separately can do a work in 12 and 15 days, respectively. Mohi starts the work and they work on alternate days. In how many days will the work be completed?
A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 8 km/h and that of the policeman is 10 km/h, how far will the thief have run before he is overtaken?
Find the volume of a cone whose radius is 10 cm and the slant height is 26 cm. (Tak $$\pi = 3.14$$.)
The ratio between two numbers is 3:5. If the LCM of these numbers is 240, then what are the two numbers?
The numerator of a fraction is decreased by 25% and the denominator is increased by 25%. New fraction is how much percentage less than the original fraction?
The population of bacteria in a culture prepared in a lab is 8 x 108. Their birth and death rates per hour are 12.75% and 10.75% respectively. Find their population in the culture after 3 h.
A sum of Rs.6,000 was deposited for 3 years at 5% per annum, interest compounded annually. Find the interest for the third year.
A, B and C can finish a work in 10, 15 and 30 days, respectively. In how many days can A finish the work if he is assisted by B and C both every third day?