List of top Quantitative Aptitude Questions on Permutation and Combination asked in CAT

If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be
In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
In how many ways can a committee of 3 be chosen from 6 people?

In how many ways can 6 people be seated around a circular table? 
 

What is the value of x if:

2x · 3x+1 = 3888

In how many ways can 5 identical balls be distributed into 3 distinct boxes?