A 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, is
CAT Functions & Graphs questions (2024–2025) — actual Quant questions with solutions
4 real CAT Functions & Graphs questions from CAT 2024 to CAT 2025, each with options, the verified answer and a step-by-step solution. Practice one topic at a t
4 real CAT questions · CAT 2024–2025 · 1 Easy
Function f:N→W such that f(xy) = f(x)f(y) + f(x) + f(y) and f(p)=1 for primes. Find f(160000).
For non-zero real x, if f(x) + 2f(1/x) = 3x and f(x) = 3, find the sum of all such x.
Consider two sets A = {2, 3, 5, 7, 11, 13} and B = {1, 8, 27}. Let f be a function from A to B such that for every element b in B, there is at least one element a in A such that f(a) = b. Then, the total number of such functions f is
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