Mathematics - Functions
Practise 25 NEST (NISER) previous year questions on Functions, compiled from papers spanning 2011 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty NEST (NISER) tests.
Functions has been asked in 14 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 25 questions in all. 4% of them were easy, 92% moderate and 4% tough. Most of its questions came from 2024, with 3 questions that year. In the last three years (2024–2026) it had 7 questions across 4 papers, about 1.8 per paper.
The chapter's 10 topics are not weighted equally: Domain (5 questions, 20%), Range (4 questions, 16%), and Types of Function (Mapping) (4 questions, 16%) have been asked the most. Over the last five years the most frequent topics have been Types of Function (Mapping) (2), Functional Equation (2), and Functions (2). Continuity has produced the most tough questions (1).
- 1The domain of the real function is2026Domain
- 2The number of solutions of the equation in is2026Number of Solutions
- 3For , define . Then for any arbitrary pair of real numbers ,2025Functions
- 4Let and be two sets. Let and be subsets of such that and for . Let be a function. For each , let be defined by for . Then2025Functions
- 5Let be the set of all functions such that for all and . Then2024 (Session 1)Functional Equation
- 6Let be a function such that for all in . Then2024 (Session 2)Functional Equation
- 7For , let be the function defined as for all . Let be the collection of all such functions, that is, . Then2024 (Session 2)Types of Function (Mapping)
- 8Let be sets and and be functions. Then2023 (Session 1)Types of Function (Mapping)
- 9Let be a continuous function and be a polynomial of degree 4 with coefficients in . If for all , then2023 (Session 1)Composite Function
- 10Let be a function defined by for . Then is2020 (Session 2)Types of Function (Mapping)
- 11Let be a function given by . Then2019 (Session 1)Range
- 12Let be a non-constant continuous function different from the identity function. Then2019 (Session 1)Continuity
- 13The domain of the function is2019 (Session 2)Domain
- 14Let for all where and denote the set of rational numbers and integers respectively. The number of elements in is2018Functional Equation
- 15Let be an odd function and suppose for all . Then2017Odd and Even Functions
- 16Let and be two functions such that for all . Then2017Types of Function (Mapping)
- 17Among the following equations the one that most accurately describes the graph shown below is2016Range
- 18Let and , where is the largest integer not exceeding . Then2015Range
- 19Which of the following functions defined on the set of real numbers is/are periodic?2014Periodicity
- 20Let . Then2013Domain
- 21The domain and range of the function are respectively,2012Domain
- 22If is a polynomial function which is odd, then2012Odd and Even Functions
- 23The composite function is a constant function if2012Composite Function
- 24The interval is the range of2011Range
- 25The interval in which the function is monotonically increasing, is2011Domain
Frequently Asked Questions
1.How many questions are available for Functions?
This chapter includes 25 questions compiled from NEST (NISER) papers spanning 2011 to 2026.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) questions specifically for the Functions chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Functions an important chapter for NEST (NISER) Mathematics?
Functions has appeared in 14 of the 16 years of NEST (NISER) papers covered here, with 25 questions across 16 papers - about 2 per paper it appears in.
4.What is the difficulty level of Functions questions in NEST (NISER)?
Of the 25 questions analysed for this chapter, 4% are easy, 92% moderate and 4% tough. 2024 had the most, with 3 questions.
5.Which topics in Functions should I focus on?
These topics have carried the most weightage in Functions:
- Domain - 5 questions (20%)
- Range - 4 questions (16%)
- Types of Function (Mapping) - 4 questions (16%)
- Continuity has produced the most tough questions (1).
6.Is Functions's weightage in NEST (NISER) going up or down?
Across all 16 papers analysed, Functions has averaged about 1.6 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.