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...

Sum Of 1’S C.M.I UG-2019 Entrance

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   ...