COMSATS Mathematics — Sets and Functions
Sets and Functions is part of the Mathematics section of the NTS NAT-IE test COMSATS admits on (10 of the 90 MCQs). It breaks into 2 subtopics, and we hold 28 NAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (2)
How Sets and Functions is tested
Across the 7 NAT-pattern papers on ParhaiKrlo, Sets and Functions accounts for 7 questions. It appears in all 7, about 1 questions a paper. The heaviest was COMSATS Past Paper 07, with 1 question.
| Paper | Questions |
|---|---|
| COMSATS Past Paper 07 | 1 |
| COMSATS Past Paper 06 | 1 |
| COMSATS Past Paper 05 | 1 |
| COMSATS Past Paper 04 | 1 |
| COMSATS Past Paper 03 | 1 |
| COMSATS Past Paper 02 | 1 |
| COMSATS Past Paper 01 | 1 |
Sets and Functions MCQs from the NAT-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · COMSATS Past Paper 07 · Sets and Functions
A function f is one-one (injective) if:
- A.different inputs always give different outputs
- B.its range is always equal to its domain
- C.f(x) = 0 for every x
- D.every output comes from two different inputs
Show answer
Answer: A. different inputs always give different outputs — One-one: f(x₁) = f(x₂) only when x₁ = x₂.
- Q2 · COMSATS Past Paper 06 · Sets and Functions
If n(A) = 10, n(B) = 8 and n(A ∩ B) = 3, then n(A ∪ B) is:
- A.5
- B.15
- C.18
- D.21
Show answer
Answer: B. 15 — n(A ∪ B) = 10 + 8 − 3 = 15.
- Q3 · COMSATS Past Paper 05 · Sets and Functions
If f(x) = x² − 1 and g(x) = 2x, then f(g(1)) is:
- A.4
- B.3
- C.0
- D.1
Show answer
Answer: B. 3 — g(1) = 2, then f(2) = 4 − 1 = 3.