LUMS LCAT Quantitative Reasoning — Algebra
Algebra is a Quantitative Reasoning topic on the LUMS Admission Test, covering 6 subtopics. We hold 309 practice MCQs on it, each with a written explanation of why the right answer is right. The subtopics, how often it appears in the sample papers, and worked questions are below.
Subtopics (6)
- Arithmetic Sequences and Series 54
- Linear Equations in One Variable 56
- Linear Equations in Two Variables 32
- Linear Functions 56
- Linear Inequalities 54
- Systems of Linear Equations 56
How Algebra is tested
Across the 8 LCAT sample papers on ParhaiKrlo, Algebra accounts for 78 questions. It appears in all 8, about 9.8 questions a paper. The heaviest was LUMS Sample Paper 1, with 11 questions.
| Paper | Questions |
|---|---|
| LUMS Sample Paper 1 | 11 |
| LUMS Sample Paper 2 | 11 |
| LUMS Sample Paper 3 | 11 |
| LUMS Sample Paper 4 | 11 |
| LUMS Sample Paper 5 | 11 |
| LUMS Sample Paper 6 | 11 |
| LUMS Sample Paper 7 | 11 |
| LUMS Sample Past Paper | 1 |
Algebra MCQs from the LCAT sample papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · LUMS Sample Past Paper · Algebra
An arithmetic sequence has a first term of a₁ = 3 and a common difference of d = -2. What is the 8th term of the sequence?
- A.-11
- B.-13
- C.-15
- D.-17
Show answer
Answer: A. -11 — Using a_n = a_1 + (n-1)d: a_8 = 3 + 7(-2) = 3 - 14 = -11.
- Q2 · LUMS Sample Paper 1 · Algebra
If 4(x - 3) + 9 = 2x + 13, what is the value of x?
- A.6
- B.7
- C.8
- D.9
Show answer
Answer: C. 8 — (C): 4(x-3)+9 = 2x+13 simplifies to 2x = 16, so x = 8.
- Q3 · LUMS Sample Paper 2 · Algebra
If 8(x - 3) + 10 = 6x + 16, what is the value of x?
- A.12
- B.13
- C.14
- D.15
Show answer
Answer: D. 15 — x = 15 (D).