Math Chapter Wise question with answer

Q01 Let X be a countable set. Then which of the following is not true? English · Bihar (TRE 1.0) -2023 Q02 Let A = {A1, A2, A3...} be an infinite collection of closed sets. Which of the following is true? English · JSSC PGT 2018 Q03 Let X = {a, b, c} and T = {φ, {a}, {a, b},{a, c}, X} be a topology on X. If A = {a, c}, then derived set of A is English · UPPSC GDC 2021 Q04 For α ∈ R, let |α| denotes the greatest integer smaller than or equal to α. Define d: R × R → → [0, ∞ ∞ ∞) by d (x,... English · Bihar (TRE 1.0) -2023 Q05 Let (X, d) be a metric space and let A ⊂ X. For x ∈ X, defined d(x, A) = inf{d(x, a):a ∈A} If d(x, A) = 0 for all x... English · Bihar (TRE 1.0) -2023 Q06 Let X = {a, b, c} and T = {φ, {a},{a, b}, X} be a topology on X. Then (X, T) is English · UPPSC GDC 2021