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02 Nov 2003, 14:18
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1. Whats the smallest number greater than 2 that gives a remainder of 2 when divided by 15,21 and 37?
2. What is the greatest prime number that can divide 2^100 - 2^96?
3.There is a rectangle ABCD,such that One side BC = 8 and the other side AB=4.There is a point P on the side AD, which moves along AD.What is the probablity that the nime PB will not be greater than 5?
Since I dont have the answers,When mentioning the answer ,please try to explain.
Thanks.
2. What is the greatest prime number that can divide 2^100 - 2^96?
3.There is a rectangle ABCD,such that One side BC = 8 and the other side AB=4.There is a point P on the side AD, which moves along AD.What is the probablity that the nime PB will not be greater than 5?
Since I dont have the answers,When mentioning the answer ,please try to explain.
Thanks.
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02 Nov 2003, 16:29
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(1) Find the LCM of 15, 21, 37 and add 2. answer 3887
(2) Not sure... 2^100 - 2^96 = 2^96 x 15 so the answer could be 5.
(3) For PB to be <= 5, PA should not excced 3.
So the required probability = probability that PA <= 3
= favourable length of PA/ Possible length of PA
= 3/8
(2) Not sure... 2^100 - 2^96 = 2^96 x 15 so the answer could be 5.
(3) For PB to be <= 5, PA should not excced 3.
So the required probability = probability that PA <= 3
= favourable length of PA/ Possible length of PA
= 3/8
