IPMAT Indore Inequalities & Modulus previous year questions

9 Inequalities & Modulus questions from IPMAT Indore 2022–2026 (Quantitative Ability), each with its answer and a step-by-step solution.

• Q15If n is an integer such that (|n+6|-|n-3|)/(√(100-n³))≥ 0 , then the number of possible values of n isIPMAT Indore 2026 · Quantitative Ability · Inequalities & Modulus
• Q9If a , b , c are three distinct natural numbers, all less than 100, such that ∣a-b∣+∣b-c∣=∣c-a∣ , then the maximum…IPMAT Indore 2025 · Quantitative Ability · Inequalities & Modulus
• Q34The set of all values of x satisfying the inequality log_ ( x+(1)/(x) ) [log_2 ( (x-1)/(x+2) ) ]>0 isIPMAT Indore 2025 · Quantitative Ability · Inequalities & Modulus
• Q17If | x+1 |+ ( y+2 )²=0 and ax-3ay=1 , then the value of a isIPMAT Indore 2024 · Quantitative Ability · Inequalities & Modulus
• Q24For some non-zero real values of a, b and c, it is given that | (c)/(a) |=4 , | (a)/(b) |=(1)/(3) and (b)/(c)=-(3)/(4)…IPMAT Indore 2024 · Quantitative Ability · Inequalities & Modulus
• Q39The number of real solutions of the equation x²-10 | x |-56=0 isIPMAT Indore 2024 · Quantitative Ability · Inequalities & Modulus
• Q31The set of all real values of x satisfying the inequality (x² ( x+1 ))/( ( x-1 ) ( 2x+1 )³)>0 isIPMAT Indore 2023 · Quantitative Ability · Inequalities & Modulus
• Q6Given that f ( x )= | x |+2 | x-1 |+ | x-2 |+ | x-4 |+ | x-6 |+2 | x-10 | , xin ( -∞ ,∞ ) , the minimum value of f ( x…IPMAT Indore 2022 · Quantitative Ability · Inequalities and Modulus
• Q35The sum of the squares of all the roots of the equation x²+ | x+4 |+ | x-4 |-35=0 isIPMAT Indore 2022 · Quantitative Ability · Inequalities & Modulus