IPMAT Indore Functions previous year questions

7 Functions questions from IPMAT Indore 2022–2026 (Quantitative Ability), each with its answer and a step-by-step solution.

• Q21If x is a real number such that max ( min ( x, 2-x ), x-4, 2x-8 )=π -3 , then the number of possible values of x isIPMAT Indore 2026 · Quantitative Ability · Functions
• Q8Let f and g be two functions defined by f ( x )=|x+ | x || and g ( x )=(1)/(x) for x≠ 0 . If f ( a )+g ( f ( a )…IPMAT Indore 2024 · Quantitative Ability · Functions
• Q5If f ( 1 )=1 and f ( n )=3n-f ( n-1 ) for all integer n>1 , then the value of f ( 2023 ) is _____IPMAT Indore 2023 · Quantitative Ability · Functions
• Q35Let [x] denote the greatest integer not exceeding x and x\=x- [ x ] . If n is a natural number, then the sum of all…IPMAT Indore 2023 · Quantitative Ability · Functions
• Q17The set of all possible values of f ( x ) for which ( 81 )^(x)+ ( 81 )^(f ( x ))=3 isIPMAT Indore 2022 · Quantitative Ability · Functions
• Q32A set of all possible values the function f ( x )=(x)/( | x |) , where x≠ 0 , takes isIPMAT Indore 2022 · Quantitative Ability · Functions
• Q37If f (x²+f ( y ) )=xf ( x )+y for all non-negative integers x and y , then the value of [ f ( 0 ) ]²+f ( 0 ) equalsIPMAT Indore 2022 · Quantitative Ability · Functions