I.S.I 2016 SUBJECTIVE PROBLEM – 1

Understand the problem Suppose that in a sports tournament featuring n players, each pairplays one game and there is always a winner and a loser (no draws).Show that the players can be arranged in an order P1, P2, . . . , Pn suchthat player Pi has beaten Pi+1 for all...

ISI 2019 : Problem #7

Understand the problem Let be a polynomial with integer coefficients. Define and for .If there exists a natural number such that , then prove that either or .   Source of the problem I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination...

Working backward – C.M.I UG -2019

Understand the problem If there exists a calculator with 12 buttons, 10 being the buttons for the digits and A and B being two buttons being processes where if n is displayed on the calculator if A is pressed it increases the displayed number by 1 and if B is...

Solution in Real – C.M.I -U.G-2019

Understand the problem .Find all real numbers x for which   Source of the problem C.M.I (Chennai mathematical institute ) U.G-2019 Topic Algebra Difficulty Level 8 out of 10 Suggested Book . Start with hints Hint 0Hint 1Hint 2Hint 3Hint 4 Do you really need a...

I.S.I 2019 Subjective Problem -4

Understand the problem Let be a twice differentiable function such thatShow that there exist such that for all . Source of the problem I.S.I. (Indian Statistical Institute) B.Stat/B.Math Entrance Examination 2019. Subjective Problem no. 4 Topic calculus Difficulty...