#Mathematics; Reasoning problems with solution;Can you solve this;

Mathematical Reasoning

Mahesh has certain number of problems with him. He can solve some fixed number of problems every hour. After solving for 5 hours, he is left with 384 problems. If he had solved for 10 hours, he is left with 144 problems to solve. Find the number of problems with Mahesh initially.

A problem in Mathematics is given to three students whose chances of solving it are (1)/(2),(1)/(3),(1)/(4) . What is the probability in the following cases ? (i) that the problem is solved (ii) only one (exactly one) of them solves it correctly (iii) at least one of them may solve it.

A problem on mathematics is given to three students whose chances of solving it are 1/2, 1/3 and 1/4, respectively, find the probability that the problem will be solved.

The probabilities that A and b can solve a problem independently are 1/3 and 1/6 respectively. If both try to solve the problem independently, find the probability that: (i) problem will be solved (ii) both can solve the problem.

A, B and C were given a problem in Mathematics whose respective probabilities of solving it are (1)/(2),(1)/(3) and (1)/(4) . The probability that the problem is not solved is ______

A can solve a problem with probability (1)/(2)B and C can solve the problem with probabilities (2)/(3) and (2)/(3) respectively.A problem is given to the team of A,B and C.What will be the probability that the team will be the problem?