LUMS LCAT Quantitative Reasoning — Number Theory
Number Theory is a Quantitative Reasoning topic on the LUMS Admission Test, covering 3 subtopics. We hold 140 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 (3)
How Number Theory is tested
Across the 8 LCAT sample papers on ParhaiKrlo, Number Theory accounts for 35 questions. It appears in 7 of them, about 5 questions a paper. The heaviest was LUMS Sample Paper 1, with 5 questions.
| Paper | Questions |
|---|---|
| LUMS Sample Paper 1 | 5 |
| LUMS Sample Paper 2 | 5 |
| LUMS Sample Paper 3 | 5 |
| LUMS Sample Paper 4 | 5 |
| LUMS Sample Paper 5 | 5 |
| LUMS Sample Paper 6 | 5 |
| LUMS Sample Paper 7 | 5 |
Number Theory MCQs from the LCAT sample papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · LUMS Sample Paper 1 · Number Theory
What is the least common multiple of 18 and 24, minus their greatest common divisor?
- A.60
- B.63
- C.66
- D.69
Show answer
Answer: C. 66 — (C): LCM(18,24) = 72 and GCD = 6, so 72 - 6 = 66.
- Q2 · LUMS Sample Paper 2 · Number Theory
What is the least common multiple of 24 and 36, minus their greatest common divisor?
- A.48
- B.54
- C.60
- D.66
Show answer
Answer: C. 60 — 60 (C).
- Q3 · LUMS Sample Paper 3 · Number Theory
What is the least common multiple of 20 and 25, minus their greatest common divisor?
- A.85
- B.90
- C.95
- D.100
Show answer
Answer: C. 95 — 95 (C).