## 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 | 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 |

## 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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