CAT Exam Numerical Ability Age Problem

Let F(n) = n(n+1)(n+2)(n+3) where n is a natural number less than 1000. For how any 'n' is F(n) divisible by 72?
a) 555 b) 444 c)556 d) 324

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CAT Other Question

A candidate takes a test and attempts all the 100 questions in it. While any correct answer fetches 1 mark, wrong answers are penalised as follows; one-tenth of the questions carry 1/10 negative mark each, one-fifth of the questions carry 1/5 negative marks each and the rest of the questions carry 1/2 negative mark each. Unattempted questions carry no marks. What is the difference between the maximum and the minimum marks that he can score?
a) 100 b) 120 c) 140 d) none of these The product of 3 natural number (N1,N2,N3) is 12 times their hcf. How many ordered triplets ( N1, N2, N3) are possible?