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1)60% people have diabetes, and 56% have insomnia. None have [#permalink]
22 Apr 2008, 22:35

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 .

Re: Math Questions [#permalink]
23 Apr 2008, 00:10

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.

Answer to this is 5 ? 2 common factors + 2 ( remaining prime factor for A) +1 (remaining prime factor for B)

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 .

I would go with E , since it is not given whether sides of rectangles are tangent to ellipse or not . What is OA?

Re: Math Questions [#permalink]
23 Apr 2008, 08:43

Ans 2 - 5 (A has factors 3,5,x,y, B has factors 3,5,z so AB has 3,5,x,y,z) Ans 3 - Not sure...but could be C. Inscribed means it is touching all sides of rectangle.

Re: Math Questions [#permalink]
23 Apr 2008, 19:39

bhatiagp wrote:

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.

1) Set x = both diabetes and insomnia 60-x + x + 56-x = 100 x= 16 Therefore, ONLY insomnia is: 56 - 16 = 40 P(only insomnia) = 40/100 = 2/5

2) I don't quite get the question, AB can have 5 primes or 4 primes