For the following questions answer them individually
A number when divided by a divisor, leaves a remainder of 24. When twice that number is divided by the same divisor, the remainder is 15. What is the divisor?
Rutherford's alpha particles scattering experiment resulted into the discovery of-
$$If x\% of 10.8 = 32.4, then find 'x' $$.
In a school, 12% of the total number of students are good in sports. 3/4th of the total number of students are interested in co-curricular activities, 10% of the total number like music. The remaining 15 students do not want to participate in the above activities. What is the total number of students?
On a sum of money, the Simple Interest for 2 years is Rs.660 while the Compound Interest for two years is Rs.696.30, the rate of interest being the same. Find the rate of interest.
Find the LCM of two consecutive integers a and b.
If the frequency of a sound wave is 50 Hz, then what is its time period?
Two inlet pipes P and Q can fill a tank in 10 hours and 12 hours separately. There is an outlet R that can let out water from the tank fully in 30 hours. If all the pipes are opened simultaneously, how much time will it take to fill the tank completely?
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