CATAlgebra > Hardx≤rx \le rx≤rx≥rx \ge rx≥rx≠rx \ne rx=rx>rx > rx>r✅ Correct Option: 1Related questions:CAT 2024 Slot 1Consider two sets A={2,3,5,7,11,13}A = \{2, 3, 5, 7, 11, 13\}A={2,3,5,7,11,13} and B={1,8,27}B = \{1, 8, 27\}B={1,8,27}. Let fff be a function from AAA to BBB such that for every element bbb in BBB, there is at least one element aaa in AAA such that f(a)=bf(a) = bf(a)=b. Then, the total number of such functions fff isCAT 2019 Slot 2Let fff be a function such that f(mn)=f(m)f(n)f(mn) = f(m)f(n)f(mn)=f(m)f(n) for every positive integers m and n. If f(1)f(1)f(1), f(2)f(2)f(2) and f(3)f(3)f(3) are positive integers, f(1)<f(2)f(1) < f(2)f(1)<f(2), and f(24)=54f(24) = 54f(24)=54, then f(18)f(18)f(18) equalsCAT 2021 Slot 3If f(x)=x2−7xf(x)=x^{2}-7 xf(x)=x2−7x and g(x)=x+3g(x)=x+3g(x)=x+3, then the minimum value of f(g(x))−3xf(g(x))-3 xf(g(x))−3x is