ECAT Mathematics — Quadratic Equations
Quadratic Equations is part of the Mathematics section of the UET ECAT (30 of the 100 MCQs). It breaks into 4 subtopics, and we hold 45 ECAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (4)
How Quadratic Equations is tested
Across the 7 ECAT past papers on ParhaiKrlo, Quadratic Equations accounts for 18 questions. It appears in 6 of them, about 3 questions a paper. The heaviest was ECAT Past Paper 04, with 6 questions, and the most recent is ECAT Past Paper 07, with 2.
| Paper | Questions |
|---|---|
| ECAT Past Paper 07 | 2 |
| ECAT Past Paper 06 | 3 |
| ECAT Past Paper 05 | 2 |
| ECAT Past Paper 04 | 6 |
| ECAT Past Paper 03 | 3 |
| ECAT Past Paper 02 | 2 |
Quadratic Equations MCQs from the ECAT past papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · ECAT Past Paper 07 · Quadratic Equations
Asim is now three times as old as Irfan. After 10 years, Asim will be twice as old as Irfan. Asim's present age is:
- A.10
- B.20
- C.30
- D.40
Show answer
Answer: C. 30 — 3I + 10 = 2(I + 10) gives I = 10, so Asim is 30.
- Q2 · ECAT Past Paper 06 · Quadratic Equations
Solving the equation x² + (a + b)x + ab = 0 gives:
- A.x = −a, x = b
- B.x = a, x = −b
- C.x = −a, x = −b
- D.x = a, x = b
Show answer
Answer: C. x = −a, x = −b — x² + (a + b)x + ab = (x + a)(x + b), so x = −a or x = −b.
- Q3 · ECAT Past Paper 05 · Quadratic Equations
Which one is a root of 3x³ − 8x² − 5x + 6 = 0?
- A.4
- B.3
- C.8
- D.Both A and B
Show answer
Answer: B. 3 — 3(27) − 8(9) − 15 + 6 = 81 − 72 − 15 + 6 = 0, so x = 3 is a root.