Brain Teasers

1)60% people have diabetes, and 56% have insomnia. None have neither. What is the probabaility that a person with insomnia has no diabetes.

2) A has 4 prime factors. B has 3 prime factors. 15 is a common factor to A and B . How many prime factors does AB have.

3) An ellipse is inscribed in a rectangle . The area of an ellipse is given by 1/2 * pi* a * b , where a is the length of the minor axis , and b the major axis. What is the area of the ellipse .

1) Length of the rectangle is 12

2) Breadth of the rectangle is 24.