Unanswered Fundamentals Questions

There are 10 applicants for a job, labeled 1, 2, ... , 10. Their suitability for the job is ranked in this order (so 1 is more suitable than 2, who is more suitable than 3 and so on). But an applicant's ability is only measur ...

another brilliant one { only for those who now come to 12th class} {who are writing jee 2009, better leave this. u can sit on this after april 12. dont waste your time now.} Find all surjectyive functions f:N→N such that fo ...

I was seeing a website.. which I recommend everyone to see... for the sake of mathematics not JEE.. These are many ways you can look(prove) AM-GM inequality! http://jwilson.coe.uga.edu/EMT725/AMGM/AMGM.html *Image* ...

There is a machine with 8 toys in it that each cost between 25 cents and 2 dollars, with each toy being 25 cents more expensive than the next most expensive one. Each time Sam presses the big red button on the machine, the ma ...

Given a cyclic quadrilateral with side lengths a,b,c,d the area K can be found as: K=\sqrt{(s-a)(s-b)(s-c)(s-d)} ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

two planes 1 and 2 hit a plane in succession . the probability of 1 and2 scoring hit correctly is 0.3 and 0.2 respectively. The second plane will bomb only if 1misses it. probability the target is hited by 2nd one ans-0.32 ...

prove that locus of moving points such that the sum of squares of distances of any point from two fixed points is always a constant is a circle. can someone prove it without using co-ordinate geometry... i mean using plane ge ...

2. Triangle ABC is divided into four parts by straight lines from two of its vertices. Area of three triangular parts are 8 , 5 and 10. what is the area of remaining part? *Image* . ...