FAST-NU Advanced Mathematics — Sets, Functions and Groups
Sets, Functions and Groups is part of the Advanced Mathematics section of FAST's BS CS/Engineering admission test (usually 50 of the 120 MCQs, 50% of the marks). It breaks into 3 subtopics, and we hold 43 FAST-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 7 FAST-pattern papers on ParhaiKrlo, Sets, Functions and Groups accounts for 16 questions. It appears in all 7, about 2.3 questions a paper. The heaviest was FAST Past Paper 03, with 3 questions, and the most recent is FAST Past Paper 07, with 2.
| Paper | Questions |
|---|---|
| FAST Past Paper 07 | 2 |
| FAST Past Paper 06 | 2 |
| FAST Past Paper 05 | 2 |
| FAST Past Paper 04 | 2 |
| FAST Past Paper 03 | 3 |
| FAST Past Paper 02 | 3 |
| FAST Past Paper 01 | 2 |
Sets, Functions and Groups MCQs from the FAST-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · FAST Past Paper 07 · Sets, Functions and Groups
If A = {1, 2, 3, 4} and B = {3, 4, 5}, then A − B is:
- A.{5}
- B.{3, 4}
- C.{1, 2, 5}
- D.{1, 2}
Show answer
Answer: D. {1, 2} — A − B keeps the elements of A that are not in B: {1, 2}.
- Q2 · FAST Past Paper 06 · Sets, Functions and Groups
A function f: A → B is called one-one (injective) if:
- A.every element of B is the image of some element of A
- B.different elements of A have different images in B
- C.f(x) = x for every x in A
- D.B has more elements than A
Show answer
Answer: B. different elements of A have different images in B — One-one means no two different inputs share an output: x₁ ≠ x₂ ⇒ f(x₁) ≠ f(x₂).
- Q3 · FAST Past Paper 05 · Sets, Functions and Groups
By De Morgan's law, (A ∪ B)′ is equal to:
- A.A′ ∪ B′
- B.A′ ∩ B′
- C.A ∩ B
- D.(A ∩ B)′
Show answer
Answer: B. A′ ∩ B′ — The complement of a union is the intersection of the complements: (A ∪ B)′ = A′ ∩ B′.