Mathematical Reasoning and Aptitude is one of the most scoring sections of UGC NET Paper 1. Every year, questions from Number Series, Percentage, Profit and Loss, Average, Ratio and Proportion, Coding-Decoding, Logical Reasoning, Statement-Based Questions, and Data Interpretation are asked in the examination. Candidates who regularly practice Previous Year Questions (PYQs) can easily identify recurring concepts and improve their accuracy in the exam.
The UGC NET Paper 1 Maths & Reasoning 2021-2025 PYQs Questions help aspirants understand the latest question trends, difficulty level, and important topics frequently asked by the National Testing Agency (NTA). Solving PYQs not only strengthens conceptual understanding but also improves speed and confidence before the examination.
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Why Should You Practice UGC NET Paper 1 Maths and Reasoning PYQs?
Previous Year Questions are among the most reliable resources for UGC NET preparation. Many concepts are repeatedly tested with slight variations in questions. By practicing PYQs, candidates become familiar with the exam pattern and can identify their strengths and weaknesses.
Some major benefits of solving PYQs include:
- Understanding the latest examination trends
- Improving problem-solving speed
- Enhancing calculation accuracy
- Identifying important topics
- Building confidence for the actual examination
- Learning shortcut methods and elimination techniques
UGC NET Paper 1 Maths and Reasoning PYQs 2020–2025
Mathematical Reasoning and Aptitude is one of the most scoring sections of UGC NET Paper 1. Every year, candidates can expect questions from Data Interpretation, Percentage, Average, Ratio and Proportion, Number Series, Coding-Decoding, Logical Reasoning, Sets, Probability, and Analytical Reasoning. Since the questions are generally concept-based and repetitive in nature, solving Previous Year Questions (PYQs) is one of the best ways to prepare for the examination.
The UGC NET Paper 1 Maths & Reasoning PYQs from 2020 to 2025 reveal important trends and recurring concepts that can help aspirants identify high-weightage topics for the upcoming UGC NET 2026 examination.
Data Interpretation Questions
- The following table shows the demand and intake of five colleges A, B, C, D, and E. How much percentage more is the average demand of all five colleges than the average of available seats?
- What is the ratio of the number of colleges having more demand than available seats to those having more available seats than demand?
- The demand for College B is approximately what percent of the demand for College C?
- The total demand of two highest-demand colleges is what percent higher than the total demand of two lowest-demand colleges?
- The difference between demand and available seats of College E is what percentage lower than the difference for College A?
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UGC NET 2024 Data Interpretation Questions
- The number of votes polled for companies A, B, C, and D in different months is given. The number of votes in favour of A and C together in January, May, and September is approximately how much less than the number of votes in favour of B and D together in March, July, and November?
- What is the ratio of percentage decline in votes of B in May compared to January to the percentage decline in votes of C in November compared to January?
- In all six months combined, what percentage more votes are required by Company A to equal the total votes polled by Company D?
- If the votes of D and C are in the ratio 9:5 in July, then by what percentage should the votes of C increase to make the ratio 5:9?
- In September, the additional number of votes needed by A and B together to get 7% more votes than D is?
UGC NET 2023 Data Interpretation Questions
- What is the average per capita Net National Income during the five-year period 2015–16 to 2019–20?
- In which year was the percentage increase in Net National Income over the previous year maximum?
- With reference to 2015–16, what was the percentage growth in India’s population by 2019–20?
- Calculate the average annual increase in Net National Income during the given period.
- Determine the year with the highest growth rate in income.
UGC NET 2022 Population-Based Reasoning Questions
- The percentage distribution of population among six cities A–F is given. What is the adult population of City C?
- Population of City A as a percentage of the population of City D is approximately?
- What is the non-adult population of City F?
- Find the total adult population of Cities B and D.
- Calculate the ratio of adult to non-adult population in City E.
UGC NET 2020 Data Interpretation Questions
- Find the average difference between items bought and sold in Quarter I.
- Which quarter has the maximum number of items sold?
- What is the percentage increase in items sold from Quarter I to Quarter II?
- Which quarter has the minimum bought-to-sold ratio?
- Which item has the minimum average items sold across all quarters?
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Important Mathematical Aptitude PYQs
- A teacher assesses answer books and ranks students based on scores. Which scales of measurement are being used?
- Find the next term in the series:
2, 12, 36, 80, 150, 252, ? - Find the next term:
1, 4, 9, 16, 25, ? - If the average of six numbers is 7 and the average of three of them is 5, find the average of the remaining three.
- If the cost price of 10 articles equals the selling price of 9 articles, find the profit percentage.
- A shopkeeper gives successive discounts of 20% and 15%. Find the effective discount percentage.
- The ratio of boys to girls in a class is 3:2. If there are 120 students, find the number of girls.
- Divide ₹900 in the ratio 2:3:4.
- Arrange the following fractions in descending order:
9/31, 6/23, 4/18, 14/20 - Compare 7/15 and 9/20.
These are the major Maths, Aptitude, Data Interpretation, Percentage, Ratio, Average, and Reasoning-based questions extracted from the uploaded UGC NET Paper 1 papers (2020–2025). If you need 100+ questions in MCQ format with options, I can also compile them year-wise.
Download UGC NET Previous Year Question Papers (2020–2026)
Important Topics Covered in UGC NET Maths & Reasoning
The following topics have consistently appeared in UGC NET Paper 1 from 2021 to 2025:
Percentage
Questions based on percentage calculations, increase and decrease, and successive percentage changes are frequently asked.
Profit and Loss
Candidates should prepare:
- Profit percentage
- Loss percentage
- Cost Price (CP)
- Selling Price (SP)
- Marked Price (MP)
- Discount and Successive Discount
Average
Average-based questions generally involve:
- Average of numbers
- Missing values
- Group averages
- Combined averages
Number Series
Number series questions test logical thinking and pattern recognition. Common patterns include:
- Squares
- Cubes
- Prime numbers
- Alternating series
- Mixed mathematical operations
Ratio and Proportion
Questions often involve comparisons, distributions, and relationships between quantities.
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Fractions and Simplification
Simplification and comparison of fractions are common topics in Mathematical Reasoning.
Data Interpretation
Data Interpretation questions may include:
- Tables
- Pie Charts
- Bar Graphs
- Line Graphs
- Caselet-based Data
Logical Reasoning
Logical Reasoning topics include:
- Statements and Conclusions
- Syllogisms
- Logical Sequences
- Coding-Decoding
- Analytical Reasoning
Most Important Maths & Reasoning Questions for UGC NET 2026
Percentage and Profit-Loss Questions
- If the cost price of 10 articles equals the selling price of 9 articles, find the profit percentage.
- A shopkeeper offers successive discounts of 20% and 15%. Find the effective discount percentage.
- If the marked price of a product is ₹10,000 and discounts of 18% and 15% are offered successively, find the selling price.
- A trader purchases an item for ₹500 and sells it for ₹600. Calculate the profit percentage.
- A product is sold at a loss of 10%. Find the selling price if the cost price is ₹1,200.
Average Questions
- The average of six numbers is 7. The average of three of these numbers is 5. Find the average of the remaining three numbers.
- The average age of a group of students is 22 years. If a new student joins, the average becomes 23 years. Find the age of the new student.
- The average marks of five students are 70. If one student’s marks are excluded, the average becomes 68. Find the excluded marks.
Number Series Questions
- Find the next number:
2, 12, 36, 80, 150, 252, ? - Find the missing term:
3, 8, 15, 24, 35, ? - Find the next term:
1, 4, 9, 16, 25, ? - Find the missing number:
5, 10, 20, 40, 80, ?
Simplification Questions
- Evaluate:
4⅔ + 3½ − 1⅔ - Simplify:
1/4 + 1/20 + 1/120 - Solve:
1 + 2 ÷ (1 + 1/3)
Fraction Questions
- Arrange the following fractions in descending order:
9/31, 6/23, 4/18, 14/20 - Identify the largest fraction among:
11/21, 15/28, 13/25, 17/35 - Compare:
7/15 and 9/20
Logical Reasoning Questions
- If all roses are flowers and some flowers are red, which conclusion follows?
- Find the correct statement based on the given assumptions.
- Identify the logically valid conclusion from the given statements.
- Which statement strengthens the argument?
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Coding-Decoding Questions
- If CAT is coded as DBU, how will DOG be coded?
- If EDUCATION is coded in a certain way, find the code for LEARNING.
- Identify the missing pattern in the coding sequence.
Data Interpretation Questions
- Study the table and answer the questions based on sales data.
- Calculate the percentage increase shown in the graph.
- Find the ratio between two categories based on the given chart.
- Determine the average value represented in the data.
- Calculate the profit earned from the given business data.
Tips to Solve UGC NET Paper 1 Maths and Reasoning Questions Quickly
Focus on Concepts
Most questions are based on basic concepts rather than lengthy calculations. A strong conceptual foundation helps solve questions faster.
Learn Shortcut Techniques
Short methods for percentage, average, ratio, and discount calculations can save valuable exam time.
Practice Number Series Daily
Number series questions are commonly asked and can be solved quickly with regular practice.
Use Elimination Techniques
Many reasoning questions can be solved by eliminating incorrect options without fully solving them.
Revise Previous Year Questions
Repeated practice of PYQs helps candidates recognize common question patterns and improve accuracy.
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Common Mistakes to Avoid
- Ignoring basic concepts
- Spending too much time on a single question
- Avoiding Data Interpretation practice
- Memorizing tricks without understanding concepts
- Not analyzing mistakes after mock tests
UGC NET Paper 1 Maths & Reasoning PYQs 2021–2025 FAQs
Why are PYQs important for UGC NET Paper 1 Maths & Reasoning?
PYQs help understand exam patterns, improve accuracy, and identify frequently asked topics for UGC NET 2026.
Which topics are most important in Maths & Reasoning section?
Important topics include Percentage, Average, Ratio & Proportion, Number Series, Data Interpretation, and Logical Reasoning.
How do PYQs help in UGC NET preparation?
They improve speed, boost confidence, and help candidates understand repeated question trends in the exam.
How many years of PYQs should I practice for UGC NET 2026?
At least 5–7 years of PYQs (2020–2025) are recommended for strong preparation and better exam understanding.
Are Maths & Reasoning PYQs enough to score well in Paper 1?
PYQs are very important, but they should be combined with mock tests, revision, and concept clarity for best results.



