Mathematics Tes...

Let X = {x | x = 2 + 4k, where k = 0, 1, 2, 3,...24}. Let S be a subset of X such that the sum of no two elements of S is 100. What is the maximum possible number of elements in S ?  

In a party of 150 persons, 75 persons take tea, 60 persons take coffee and 50 persons take milk. 15 of them take both tea and coffee, but no one taking milk takes tea. If each person in the party takes at least one drink, then what is the number of persons taking milk only ?

If R is a relation from a non –empty set A to a non –empty set B, then

The range of the function f(x) = ^7-x P_x-3 is  

Let R be the relation over the set of straight lines of a plane such that l₁ R l₂ ⇔l₁ ⊥l₂ . Then, R is

Let f be a function such that f(mn) = f(m) f(n) for every positive integers m and n. If f(1), f(2) and f(3) are positive integers, f(1)

(2019)

Let f(x) = min{2x² , 52 −5x}, where x is any positive real number. Then the maximum possible value of f(x) is

(2018)

Let a, b, c, d, u, v be integers. If the system of equations, a x + b y = u, c x + dy = v, has a unique solution in integers, then