Difficulty distribution
How the classified questions are distributed by difficulty.
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Practice Proportionality - General Aptitude - General Aptitude (GA) previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
Every graph below is calculated only from this selection.
Year-wise coverage for Proportionality. Each bar uses a separate theme-derived color.
How the classified questions are distributed by difficulty.
MCQ, numerical, multiple-select and other formats found in these papers.
Top subjects by unique question coverage.
Top topics across the included previous year papers.
Top subtopics inside this exact selection.
Question coverage for the most populated papers. Every active PYP paper remains listed below.
Newest papers appear first. Sort by year, question coverage or name.
| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| Life Sciences (XL) 2025 | 2025 | 1 | View paper |
| Life Sciences (XL) 2022 | 2022 | 2 | View paper |
| Life Sciences (XL) 2015 | 2015 | 1 | View paper |
Practice every matching question in batches of 20, with every available option.
In a partnership business the monthly investment by three friends for the first six months is in the ratio 3:4:5. After six months, they had to increase their monthly investments by 10%, 15% and 20%, respectively, of their initial monthly investment. The new investment ratio was kept constant for the next six months. What is the ratio of their shares in the total profit (in the same order) at the end of the year such that the share is proportional to their individual total investment over the year?