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Sets Relations Functions Questions for AGNIVEER VAYU

Free, AI-curated practice for the Sets Relations Functions section of AGNIVEER VAYU. We have 15+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · hard · AI-verified
If n(A) = 4, n(B) = 3, then the total number of relations from A to B is:
  1. 12
  2. 2048
  3. 4096
  4. 8192
Q2 · medium · AI-verified
The range of the function f(x) = |x − 2| for all real x is:
  1. [−2, ∞)
  2. [0, ∞)
  3. (−∞, ∞)
  4. (0, ∞)
Q3 · hard · AI-verified
Let A = {x : x ∈ N, x ≤ 10} and R be a relation on A defined as R = {(a, b) : a + b = 11, a, b ∈ A}. The number of elements in R is:
  1. 5
  2. 10
  3. 11
  4. 4
Q4 · medium · AI-verified
Let A = {1, 2, 3} and B = {4, 5}. How many relations can be defined from A to B?
  1. 64
  2. 16
  3. 128
  4. 32
Q5 · easy · AI-verified
A relation R on set A = {1, 2, 3} is defined as R = {(1,1), (2,2), (3,3)}. This relation is:
  1. Symmetric only
  2. Reflexive
  3. Transitive only
  4. Neither reflexive nor symmetric
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