Arithmetic Aptitude :: Sets, Relations and Functions
- If f : X -> Y and a, b ⊆ X, then f (a ∩ b) is equal to
- Let f : R → R be defined by f(x)= {x+2 (x ≤ -1) { x2 (-1 ≤ x ≤1) {2 - x (x ≥ 1) Then value of f (-1.75) + f (0.5) + f (1.5) is
- A relation R is defined on the set of positive integers as xRy if 2x + y ≤ 5. The realation R is
- Let R be na equivalence relation on the set {1,2,3,4,5,6} given by {(1,1),(1,5),(2,2),(2,3),(2,6),(3,2),(3,3),(3,6),(4,4),(5,1),(5,5),(6,2),(6,6),(6,6)}. The partition included by R is
- Which of the following sets is a null set ? I. X = {x | x= 9, 2x = 4 } II. Y = {x | x= 2x.x ≠ 0 } III. Z = { x | x-8 = 4 }
- A Relation R is defined on the set of integers as xRy if (x + y) is even. Which of the following statements is TRUE?
- If R = ((1, 1), (3, 1), (2, 3), (4, 2)), then which of the following represents R2, where R2 is R composite R?
- If f : R ---->R defined by f(x) = x2 + 1, then values of f -1 (17) and f -1(-3) are respectively
Whatsapp
Facebook
