TCS Company Numerical Ability Time and Work

A snail covered 3mm in the frst sec and 4 mm each in each successive sec,for a certain number of sec.However if it had covered 1mm in the 1 st sec and 8 mm more in each successive sec for some secs, then the difference between the length of the path it would have covered during the same time and the actual path that it actually took would have been more than 6 mm but less than 30 mm.find the time for which the snail moved?

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TCS Other Question

What is the largest positive integer n for which 3^n divides 44^44? The average mark obtained by 22 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?