UGC NET Number theory Previous Year Questions
JRFSmart holds 8 previous-year questions on Number theory from UGC NET Paper 1 (Teaching and Research Aptitude), filed under Unit 5: Mathematical Reasoning and Aptitude, drawn from 7 of the 130 exam papers in the bank (2019–2026). Each question can be practised with a full explanation and shows how often NTA has returned to the same idea.
What is asked in Number theory
The questions in this topic fall under these subtopics, ordered by how many previous-year questions each has.
| Subtopic | Questions |
|---|---|
| Consecutive odd numbers | 2 |
| Sums & unit digits | 1 |
| Remainders | 1 |
| LCM and HCF | 1 |
| Divisibility by 90 | 1 |
| Integer plus its reciprocal | 1 |
| Smallest square that is a cube | 1 |
NTA repeat analysis
Number theory appears in 7 of 130 papers (5%), which JRFSmart rates as low frequency.
Sample previous-year questions
Which of the following statements are correct? A. The sum of all odd natural numbers less than or equal to 30 is equal to 225 B. The sum of all even natural numbers less than or equal to 23 is equal to 132 C. Sum of all natural numbers less than or equal to…
The numbers a, b, c are such that when divided by 8, they leave the remainders 5, 7, 1 respectively. Then the remainder when 2a+3b+4c is divided by 4 is equal to
If the sum of 5 consecutive odd numbers is 225, then which of the following are correct? A. Average lies in the interval (36, 47) B. Smallest number is less than 40 C. Highest number is greater than 42 D. The difference between highest and lowest number is 8…
The sum of two numbers is 20 and the product of their LCM and HCF is 96. Then the sum of squares of these numbers is equal to:
The average of 5 consecutive odd numbers in descending order is 95. Find the fourth number in the descending order.
If the number 345xy is divisible by 90, then (x + y) = ?
Which of the following fractions is the result of the sum of an integer and its reciprocal?
The smallest integer greater than 1 which is simultaneously a square and a cube of certain integers is
Showing 8 of 8 questions, without answers. Practise the full set with options, the official answer and JRFSmart's explanations.
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