A takes 6 days less than B to do a work. If both A and B working together can do it in 4 days, how many days will B take to finish it?

If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0, then ab equals

• 3

• $-\frac{7}{2}$

• 6

• -3

Find the values (s) of k so that the quadratic equation  3x² - 2kx + 12 = 0 has equal roots.

Solve for x:  4x² – 4ax + (a² – b²) = 0

                                   OR

Solve for x:  3x² - $\sqrt{6}$x + 2 = 0

A shopkeeper buys some books for Rs. 80. If he had bought 4 more books for the same amount, each book would have cost Rs. 1 less. Find the number of books he bought.

                                            OR

The sum of two number is 9 and the sum of their reciprocals is $\frac{1}{2}$. Find the numbers.