The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =?

In how many ways can letter of the word MAILINGS arrange so that M and N always come together? 

What is the sum of two consecutive even numbers, the difference of whose square is 84? 

A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is that number? 

What should be added at least in 1140 so that it becomes a perfect square?

How many number are there from 700 to 950 (Including both) which are neither divisible by 3 nor by 7?

If 738 A6A is divisible by 11, then the value of A is-

The smallest 5-digit number divisible by 41 is: