Gate Exam Category

In a class of 25 students with roll numbers 1 to 25, a student is picked up at random to answer a question. Find the probability that the roll number of the selected student is either a multiple of 5 or of 7.

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Gate Other Question

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 that the problem is solved A can hit a target 4 times in 5 shots B three times in 4 shots and C twice in 3 shots. They fire a volley. What is the probability that atleast two shots hit.