ECAT Mathematics — Linear Inequalities and Linear Programming
Linear Inequalities and Linear Programming is part of the Mathematics section of the UET ECAT (30 of the 100 MCQs). It breaks into 2 subtopics, and we hold 12 ECAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (2)
How Linear Inequalities and Linear Programming is tested
Across the 7 ECAT past papers on ParhaiKrlo, Linear Inequalities and Linear Programming accounts for 5 questions. It appears in 4 of them, about 1.3 questions a paper. The heaviest was ECAT Past Paper 04, with 2 questions, and the most recent is ECAT Past Paper 07, with 1.
| Paper | Questions |
|---|---|
| ECAT Past Paper 07 | 1 |
| ECAT Past Paper 05 | 1 |
| ECAT Past Paper 04 | 2 |
| ECAT Past Paper 03 | 1 |
Linear Inequalities and Linear Programming MCQs from the ECAT past papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · ECAT Past Paper 07 · Linear Inequalities and Linear Programming
The maximum value of f(x, y) = −x + 3y subject to −x ≤ 2, x ≤ 3 and y ≤ 1 is attained at:
- A.(−100, 100)
- B.(−2, 1)
- C.(−100, 0)
- D.(3, 1)
Show answer
Answer: B. (−2, 1) — f grows as x decreases and y increases; the constraints stop this at x = −2, y = 1, giving f = 5.
- Q2 · ECAT Past Paper 05 · Linear Inequalities and Linear Programming
2x + 3 < 0 is a(n):
- A.Inequality
- B.Equality
- C.Identity
- D.None
Show answer
Answer: A. Inequality — The sign < makes it a (linear) inequality.
- Q3 · ECAT Past Paper 04 · Linear Inequalities and Linear Programming
The solution of (x − 2) < (3 − 2x) is:
- A.1 < x < 5/3
- B.x < 1
- C.x ∈ ℝ
- D.x < 5/3
Show answer
Answer: D. x < 5/3 — x − 2 < 3 − 2x gives 3x < 5, so x < 5/3.