# 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. Must have real Eigen values If one of the EV is 0, the determinant is 0 If elements of matrix are neg. and 3 is EV the, then all EV must be positive 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 6x2 – 12xy + 6y2 x2 – xy – 2y2 x2 – xy + 2y2 Quadratic Form Complex Integration Sequence & Series Wave Equation Possible Class equation for group of order 10 1 + 1 + 1 — + 1 (10 times) 1 + 2 + 1 + 1 + 5 ?? ?? Class Equation an = 1/n+1+1/n+2…..+1/2n bn = 1/n Are seq then seq an cgt to log2 ,and both the seq cgt with same rate seq an is cgt log4 seq bn is not cgt seq an cgt log2 but different rate Sequence & Series Sequence & Series Vector Space uvx + vy = 0 u(x, 0) = x u(2, 3) = ? Cauchy Problem Numerical Integration Which of the following statements is/are true ?? 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. If A is an open subset of [0,1], then m(A) = m(cl(A)), where cl(A) is the closure of the set. 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. 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? If Interior and Closure of A are Lebesgue measurable then they have the same outer measure. If Outer measure of A is empty then A has an empty interior. 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 all the eigen values are real. A is diagonalisable A³=0 eigen space of 0 has 2 LI vectors Eigen Value & Matrices