CSIR NET Mathematics Answer Key December 2023 (Available)

CSIR NET Mathematics Answer Key December 2023: The National Testing Agency has scheduled CSIR NET Mathematical Science Exam 2023 today, December 28, 2023, from 9 AM to 12 Noon. Candidates who have appeared for the exam check here the unofficial CSIR NET Mathematics Answer Key 2023 prepared with the help of experts. Authorities have not released the official date for the announcement of the answer key but it can be expected anytime soon as CSIR NET 2023 concludes with today's Mathematics paper. Until the CSIR NET Mathematics Answer Key 2023 is released, the candidate can make use of the unofficial answer key to determine their marks accomplished in the exam. Scroll down to check the unofficial answer key prepared with the help of different coaching institutes and subject matter experts along with the answer key's expected release date: 

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CSIR NET Mathematics Answer Key December 2023

The below candidate can check the CSIR NET Mathematics Answer Key 2023 based on the memory question received from the students: 

1. Find the number of terms divisible by their preceding term in the following series:
   8, 3, 9, 3, 3, 5, 3, 9, 3, 4, 5, 6, 3, 3, 5, 7, 2, 3, 9, 9
   Ans: 6 terms
2. Find the mean, median, and mode of 65, 61, 63, 65, 61, 60, 65, 83, 65, 84, 61, 65, 62
   Ans: Median - 65, Mode - 65, Mean - 66.15
3. Which of these can be written as the sum of squares of any of the four integers in these numbers? Repetition is allowed.
   10, 11, 12, 13
   Ans: All of these. 
   10 (2² + 2² + 1² + 1²), 11 (0² + 1² + 1² + 3²), 12 (1² + 1² + 1² + 3²), 13 (2² + 2² + 1² + 2²)
4. n >= 3 matrix A_ij = i, then the eigen value will be:
   Ans: n(n + 1)(2n +1)/6
5. If F(x,y) = (ax + by + c, dx + ey + f), then which of the following are false?
   1) F is continuous.
   2) F is uniformly continuous.
   3) F is differentiable.
   4) All partial derivative exist.
   Ans: 2) F is uniformly continuous.

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1. Σ [sin(nπ/2)/√n]. Is it convergent or not?
   Ans: Yes, it is convergent
2. I_k = ∫e^z dz/z^k and |z| = 1, then which of the following is true?
   Ans: Ik ≠ 0, for k ≥ 1
3. Find U = { x ∈ IR | x² - 7x + 12 ≤ 0, x² - 9x + 18 ≤ 0 | }
   Ans: Inf (U) = 3
4. Calculate (1³⁷ + 2³⁷ + 3³⁷ + .... + 88³⁷) mod89
   Ans: 0
5. f(n) = x² + x + 1 & g(n) = x² + x - 2, n ∈ z[x], then which of the following is true?
   Ans: f(n) is irreducible in Q[x]
6. Round off the following number to the given decimal point - 4.5850001.
7. Find the given side of a triangle based on the data for two similar triangles given.
8. Solve the given 7 x 7 block digital matrix.
9. There were two clocks given, Clock A and Clock B. It is given that Clock A is 8 minutes faster and Clock B is 12 minutes slower. If Clock A is displaying 15:12 time, then find the actual time. Also, the time at which both clocks displayed the same time was also given.
10. Calculate the correct time based on an erroneous time shown by a fast/slow clock.
11. The schedule of a train was given and it was to be calculated when the train would reach a certain station.
12. There was a question on Time, Speed, and Distance based on the condition of a police chasing a thief.

CSIR NET December 2023 Important Links

Candidates can click on the link below to access all the important links related to CSIR NET December 2023 session:

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