ECAT Mathematics — Sets, Functions and Groups
Sets, Functions and Groups is part of the Mathematics section of the UET ECAT (30 of the 100 MCQs). It breaks into 4 subtopics, and we hold 30 ECAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (4)
How Sets, Functions and Groups is tested
Across the 7 ECAT past papers on ParhaiKrlo, Sets, Functions and Groups accounts for 8 questions. It appears in 5 of them, about 1.6 questions a paper. The heaviest was ECAT Past Paper 01, with 3 questions, and the most recent is ECAT Past Paper 07, with 1.
| Paper | Questions |
|---|---|
| ECAT Past Paper 07 | 1 |
| ECAT Past Paper 05 | 2 |
| ECAT Past Paper 03 | 1 |
| ECAT Past Paper 02 | 1 |
| ECAT Past Paper 01 | 3 |
Sets, Functions and Groups MCQs from the ECAT past papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · ECAT Past Paper 07 · Sets, Functions and Groups
For the set S = {−1, 0, 1}, which statement is true?
- A.Division is a binary operation on S
- B.S is closed with respect to addition
- C.S is closed with respect to division
- D.S is closed with respect to multiplication
Show answer
Answer: D. S is closed with respect to multiplication — All products of −1, 0, 1 lie in S; 1 + 1 = 2 is not in S, and division by 0 is undefined.
- Q2 · ECAT Past Paper 05 · Sets, Functions and Groups
In a class of 50 students, 38 use desktop computers and 16 use laptops. If A students use both, the greatest possible value of A is:
- A.36
- B.4
- C.16
- D.30
Show answer
Answer: C. 16 — The overlap cannot exceed the smaller set, 16, and A = 16 is possible (every laptop user also uses a desktop).
- Q3 · ECAT Past Paper 03 · Sets, Functions and Groups
If two sets have no common elements, they are called:
- A.Overlapping sets
- B.Disjoint sets
- C.Complementary sets
- D.Equivalent sets
Show answer
Answer: B. Disjoint sets — Sets with A ∩ B = ∅ are disjoint.