LUMS LCAT Quantitative Reasoning — Geometry and Trigonometry
Geometry and Trigonometry is a Quantitative Reasoning topic on the LUMS Admission Test, covering 7 subtopics. We hold 334 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 (7)
- Area and Perimeter 54
- Circles (arcs, sectors, equations) 54
- Lines, Angles, and Triangles 54
- Right Triangles and the Pythagorean Theorem 54
- Trigonometric Identities 30
- Trigonometric Ratios 30
- Volume and Surface Area 54
How Geometry and Trigonometry is tested
Across the 8 LCAT sample papers on ParhaiKrlo, Geometry and Trigonometry accounts for 88 questions. It appears in all 8, about 11 questions a paper. The heaviest was LUMS Sample Paper 1, with 12 questions.
| Paper | Questions |
|---|---|
| LUMS Sample Paper 1 | 12 |
| LUMS Sample Paper 2 | 12 |
| LUMS Sample Paper 3 | 12 |
| LUMS Sample Paper 4 | 12 |
| LUMS Sample Paper 5 | 12 |
| LUMS Sample Paper 6 | 12 |
| LUMS Sample Paper 7 | 12 |
| LUMS Sample Past Paper | 4 |
Geometry and Trigonometry MCQs from the LCAT sample papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · LUMS Sample Past Paper · Geometry and Trigonometry
In a right triangle with legs a and b, and hypotenuse c, if a = 10 and b = 24, what is the value of c?
- A.26
- B.28
- C.30
- D.32
Show answer
Answer: A. 26 — By the Pythagorean theorem, c = √(10² + 24²) = √676 = 26.
- Q2 · LUMS Sample Paper 1 · Geometry and Trigonometry
A rectangle has a perimeter of 44 cm, and its length is 6 cm greater than its width. What is its area, in square centimetres?
- A.104
- B.112
- C.120
- D.98
Show answer
Answer: B. 112 — (B): width 8 and length 14 give an area of 112.
- Q3 · LUMS Sample Paper 2 · Geometry and Trigonometry
A rectangle has a perimeter of 62 cm, and its length is 11 cm greater than its width. What is its area, in square centimetres?
- A.200
- B.210
- C.220
- D.230
Show answer
Answer: B. 210 — 210 (B).