NUST NET Mathematics — Sets, Functions and Groups
Sets, Functions and Groups is part of the FSc Mathematics course that NUST NET-Engineering draws on (Mathematics is 100 of the 200 MCQs). It breaks into 3 subtopics, and we hold 85 NET-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (3)
How Sets, Functions and Groups is tested
Across the 8 NET-pattern papers on ParhaiKrlo, Sets, Functions and Groups accounts for 34 questions. It appears in all 8, about 4.3 questions a paper. The heaviest was NUST NET Past Paper 01, with 5 questions, and the most recent is NUST NET Past Paper 07, with 4.
| Paper | Questions |
|---|---|
| NUST NET Past Paper 07 | 4 |
| NUST NET Past Paper 08 | 4 |
| NUST NET Past Paper 05 | 4 |
| NUST NET Past Paper 06 | 4 |
| NUST NET Past Paper 03 | 4 |
| NUST NET Past Paper 04 | 4 |
| NUST NET Past Paper 01 | 5 |
| NUST NET Past Paper 02 | 5 |
Sets, Functions and Groups MCQs from the NET-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · NUST NET Past Paper 07 · Sets, Functions and Groups
The number of proper subsets of a set with 5 elements is:
- A.32
- B.10
- C.25
- D.31
Show answer
Answer: D. 31 — A set with 5 elements has 2⁵ − 1 = 31 proper subsets.
- Q2 · NUST NET Past Paper 08 · Sets, Functions and Groups
If A = {1, 2, 3} and B = {2, 3, 4}, the symmetric difference of A and B is:
- A.{1, 4}
- B.{2, 3}
- C.{1, 2, 3, 4}
- D.the empty set
Show answer
Answer: A. {1, 4} — A Δ B = (A − B) ∪ (B − A) = {1} ∪ {4} = {1, 4}.
- Q3 · NUST NET Past Paper 05 · Sets, Functions and Groups
For any two sets A and B, De Morgan's law states that (A ∪ B)′ is equal to:
- A.A′ ∩ B′
- B.A′ ∪ B′
- C.A ∩ B
- D.A′ ∩ B
Show answer
Answer: A. A′ ∩ B′ — (A ∪ B)′ = A′ ∩ B′.