UGC NET Algebra Previous Year Questions
JRFSmart holds 7 previous-year questions on Algebra from UGC NET Paper 1 (Teaching and Research Aptitude), filed under Unit 5: Mathematical Reasoning and Aptitude, drawn from 7 of the 87 exam papers in the bank (2018–2026). Each question can be practised with a full explanation and shows how often NTA has returned to the same idea.
What is asked in Algebra
The questions in this topic fall under these subtopics, ordered by how many previous-year questions each has.
| Subtopic | Questions |
|---|---|
| Reciprocal relations | 1 |
| Sum of squares from sum and difference | 1 |
| Equal division among a variable number | 1 |
| Reciprocal identities | 1 |
| Symmetric expressions | 1 |
| Maxima and minima | 1 |
| Identities involving x + 1/x | 1 |
NTA repeat analysis
Algebra appears in 7 of 87 papers (8%), which JRFSmart rates as low frequency.
Sample previous-year questions
The numbers N and M are such that N^2 + M^2 = 20 and N = M + 2 Then the value of N^4 + M^4 is equal to-
If a and b are minimum and maximum of x satisfying 5 + 12/(x + 1/x) = 10 . Select the correct statements from the following: A. 5a + 5b = 12 B. 0 < (b - a) < 1/2 C. a < 0 < b D. a < 1 < b E. (b - a)^2 + 6/25 = 2 Choose the correct answer from the options…
Match List - I with List - II : LIST-I (Question) A. If (x + 1/x) = 2, then (x^2 + 1/x^2) = ? B. If (x - 1)/x = 3, then (1 + 1/x^2) = ? C. If (x - 1/x) = 1, then (x^2 + 1/x^2) = ? D. If (x^2 - 1)/(x + 1) = 6, then x = ? LIST-II (Answer) I. 7 II. 3 III. 5 IV…
Match the LIST-I with LIST-II LIST-I (Question) | LIST-II (Answer) A. If x + 1/x = 2, then (x - 1/x) = ? | I. 11 B. If x - y = 1 and x^2 + y^2 = 41 then x + y = ? | II. 2 C. If (1 - 1/x) = 2, then 1 + 1/x^2 = ? | III. 0 D. If (x - 1/x) = 3 then x^2 + 1/x^2 =…
A sum of money is equally divided among a number of children. Had there been 10 children less, each would have received Rs. 5 more, and had there been 10 children more each would have received Rs. 3 less. What is the sum of money that is distributed ?
The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares ?
If R + 1/S = 1 and S + 1/T = 1, then R x S x T = __________.
Showing 8 of 7 questions, without answers. Practise the full set with options, the official answer and JRFSmart's explanations.
Practise Algebra
All 7 questions, one topic, with explanations and repeat data. One topic in every unit is free.
Practise this topic