CAT Maxima and Minima previous year questions

7 Maxima and Minima questions from CAT 2021–2025 (Quant), each with its answer and a step-by-step solution.

• Q8A value of c for which the minimum value of f ( x )=x²-4cx+8c is greater than the maximum value of g ( x )=-x²+3cx-2c…CAT 2025 Slot 1 · Quant · Maxima and Minima
• Q1If m and n are integers such that ( m+2n ) ( 2m+n )=27 , then the maximum possible value of 2m-3n isCAT 2025 Slot 2 · Quant · Maxima and Minima
• Q7If a , b , c and d are integers such that their sum is 46, then the minimum possible value of ( a-b )²+ ( a-c )²+ (…CAT 2025 Slot 2 · Quant · Maxima and Minima
• Q9Suppose a , b , c are three distinct natural numbers, such that 3ac=8 ( a+b ) . Then, the smallest possible value of…CAT 2025 Slot 2 · Quant · Maxima and Minima
• Q21Let p , q and r be three natural numbers such that their sum is 900, and r is a perfect square whose value lies…CAT 2025 Slot 3 · Quant · Maxima and Minima
• Q8Let x , y , and z be real numbers satisfying 4 (x²+y²+z² )=a and 4 ( x-y-z )=3+a . Then a equalsCAT 2024 Slot 1 · Quant · Maxima and Minima
• Q19The cost of fencing a rectangular plot is ₹200 per ft along one side, and ₹100 per ft along the three other sides. If…CAT 2021 Slot 3 · Quant · Maxima and Minima