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...

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...

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...

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...

Understand the problem Find the sum 1+111+11111+1111111+…..1….111(2k+1) ones Source of the problem C.M.I UG-2019 entrance exam Topic Algebra Difficulty Level 3.5 out of 10 Suggested Book challenges and trills of pre college mathematics ...