LUMS LCAT Quantitative Reasoning — Problem-Solving and Data Analysis
Problem-Solving and Data Analysis is a Quantitative Reasoning topic on the LUMS Admission Test, covering 7 subtopics. We hold 338 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)
- Averages and Weighted Averages 54
- Percentages 58
- Probability 54
- Ratios, Rates, and Proportions 56
- Statistics (mean, median, mode, standard deviation) 54
- Two-Variable Data Interpretation (tables/graphs) 30
- Unit Conversion 30
How Problem-Solving and Data Analysis is tested
Across the 8 LCAT sample papers on ParhaiKrlo, Problem-Solving and Data Analysis accounts for 86 questions. It appears in all 8, about 10.8 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 | 2 |
Problem-Solving and Data Analysis MCQs from the LCAT sample papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · LUMS Sample Past Paper · Problem-Solving and Data Analysis
A car travels at varying speeds. If it covers 120 miles in the first 2 hours and 160 miles in the next 3 hours, what is its average speed over the entire trip?
- A.40 mph
- B.45 mph
- C.50 mph
- D.56 mph
Show answer
Answer: D. 56 mph — Average speed = total distance / total time = (120+160)/(2+3) = 280/5 = 56 mph.
- Q2 · LUMS Sample Paper 1 · Problem-Solving and Data Analysis
An item's price is reduced by 25% and then increased by 40% of the reduced price. Compared with the original price, the final price is
- A.5% higher.
- B.5% lower.
- C.unchanged.
- D.15% higher.
Show answer
Answer: A. 5% higher. — (A): 0.75 × 1.40 = 1.05, so the final price is 5% higher.
- Q3 · LUMS Sample Paper 2 · Problem-Solving and Data Analysis
A shopkeeper raises the price of an item by 20% and then, in a sale, reduces the new price by 5%. Compared with the original price, the final price is
- A.14% higher.
- B.14% lower.
- C.unchanged.
- D.25% higher.
Show answer
Answer: A. 14% higher. — 14% higher (A).