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Memory Based CSIR NET Mathematics Question Paper 2023, 7th June Download PDF

By BYJU'S Exam Prep

Updated on: September 13th, 2023

CSIR NET Mathematics Memory Based Questions 2023: The CSIR NET Mathematics Exam 2023 was conducted on the second day of the exam on 7th June in shift 2. Here is the list of CSIR NET Mathematics Memory Based Questions that were asked in the examination today.

We have also developed a detailed article on the CSIR NET Mathematics Exam Analysis for parts A, B, and C. The candidates can check the article for the CSIR NET Mathematics Question paper 2023 below and download the PDF for future reference.

Key Highlights of CSIR NET Mathematics Memory Based Questions

  • The CSIR NET 2023 Mathematics Exam was conducted in shift 2 from 3:00 PM to 6:00 PM on 7th June 2023.
  • The CSIR NET Mathematics Paper contained 120 questions. The candidates had to attempt 60 questions in total.

CSIR NET Mathematics Memory Based Questions: Part A

The candidates can check a detailed analysis of the questions asked in the CSIR NET Mathematics for Part A with all the details on the topics. The table below contains the questions from Part A of the CSIR NET Mathematics Exam.

Questions Topic
Which of the option correctly represents the relationship between: Insects, peacock, birds, extinct animals? Venn Diagram
Find the total interest on Rs. 150,000 for 3 years at a rate of interest is 10% p.a. Interest
A candidate has a 30% chance of saying the truth. B candidate has a 40% chance of saying the truth. What is the probability that both A and B candidates contradict? Probability

CSIR NET Mathematics Memory Based Questions: Part B and C

The candidates can check a detailed analysis of the questions asked in the CSIR NET Mathematics for Part B & C with all the details on the topics.

Questions Asked Topics

How many real roots are there in polynomial
 x3 – 3x+2023=0

polynomial Ring 

Matrix 3X3 is a real entity then, which of the following is not true.

  1. Must have real Eigen values
  2. If one of the EV is 0, the determinant is 0
  3. If elements of matrix are neg. and 3 is EV the, then all EV must be positive
  4. If elements of matrix are positive and 3 is EV the, then all EV must be positive
 Matrices & Its properties
 Linear transformation on polynomial defined as derivative then which is true?  Linear Transformation
 

Quadratic form

  1. 6x2 – 12xy + 6y2
  2. x2 – xy – 2y2
  3. x2 – xy + 2y2
 Quadratic Form
 Memory Based CSIR NET Mathematics Question Paper 2023, 7th June Download PDF  Complex Integration
 Memory Based CSIR NET Mathematics Question Paper 2023, 7th June Download PDF  Sequence & Series
 Memory Based CSIR NET Mathematics Question Paper 2023, 7th June Download PDF  Wave Equation

Possible Class equation for group of order 10

  1. 1 + 1 + 1 — + 1 (10 times)
  2. 1 + 2 + 1 + 1 + 5
  3. ??
  4. ??
 Class Equation

an = 1/n+1+1/n+2…..+1/2n

bn = 1/n

Are seq then

  1. seq an cgt to log2 ,and both the seq cgt with same rate
  2. seq an is cgt log4
  3. seq bn is not cgt
  4. seq an cgt log2 but different rate
Sequence & Series 
 Memory Based CSIR NET Mathematics Question Paper 2023, 7th June Download PDF  Sequence & Series 
Memory Based CSIR NET Mathematics Question Paper 2023, 7th June Download PDF Vector Space

uvx + vy = 0

u(x, 0) = x

u(2, 3) = ?

Cauchy Problem 
 Memory Based CSIR NET Mathematics Question Paper 2023, 7th June Download PDF  Numerical Integration

Which of the following statements is/are true ??

  1. Let E be a subset of Rn, and int(E) is the set of all interior points of E. Then int(E) = ∅ if and only if m*(E) = 0.
  2. If A is an open subset of [0,1], then m(A) = m(cl(A)), where cl(A) is the closure of the set.
  3. If A is a subset of [0,1] such that m(int(A)) = m(cl(A)), then A is measurable. Here int(A) denotes the interior of the set.
  4. There exist an open dense subset A ⊂ [0,1] × [0,1] such that its complement ([0,1] × [0,1]) \ A has positive Lebesgue measure
Topology

_One measure theory Question_

If A is a non-empty subset of [0,1] then which of the following is/are true?

  1. If Interior and Closure of A are Lebesgue measurable then they have the same outer measure.
  2. If Outer measure of A is empty then A has an empty interior.
  3. If A is Lebesgue measurable and has a set of irrationals in it then outer measure of A is positive.
Measure Theory

A is matrix of 3 × 3 order and P(T) is ch poly of A which is divisible by T² then is a matrix of 3 × 3 order and P(T) is ch poly of A which is divisible by T² then

  1. all the eigen values are real.
  2. A is diagonalisable
  3. A³=0
  4. eigen space of 0 has 2 LI vectors
Eigen Value & Matrices

CSIR NET Mathematics Memory Based Questions: Download PDF

The candidates can click on the link provided below to download the PDF for today’s CSIR NET Memory-Based Questions asked in the exam. This will give them a better sense of the difficulty level of the exam and even help future candidates prepare.

CSIR NET Mathematics Memory Based Question Paper – Download PDF

 

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