Mathematics- an important part of any curriculum. It is considered to be among the most basic subjects that everyone should have an idea about. The practical application of Mathematical principles and usage is required in every field of study. If you go to the field of Commerce and Accounting and other means of Financial Analysis, you require Mathematics. Similarly in the field of Scientific approaches like Engineering and Scientific Research also require basic Mathematics. In the field of Administrative Service and the subsidiary examinations, Mathematics is also very necessary. The set of questions are different but the objective is the same- to know how much you understand about Mathematics as a subject. Following are some tricky IAS questions asked in the field of Mathematics-
Tell me the difference between a real number, a natural number, and an imaginary number.
Answer- Natural numbers are a subset of Real numbers which along with Imaginary numbers become the Complex number set. Natural numbers do not contain numbers like √2 and Imaginary numbers on the other hand use square roots of negative numbers.
National mathematics day why and when celebrated. Which Prime Minister declared This day?
Answer- National Mathematics Day is celebrated on 22nd December. It is the birth Anniversary of S. Ramanujan. It was declared by Shri Manmohan Singh.
State some Important works of Ramanujan.
Answer- Notes: His main areas of work are Prime numbers, Continued fractions, Hypergeometric series, Elliptic functions, Partitions, Probabilistic number theory. His work has been applied in Black holes, string theory, quantum gravity, etc.
What is a Game theory?
Answer- Game theory is the study of how people, companies, nations, etc. determine strategies in different situations. Especially when there are other players also coming up with their strategies. It involves elements of cooperation as well as conflict. It has direct application in science, politics, and economics.
How will mathematics help you in civil service?
Answer- Mathematics helps me in being objective and precise with my decisions. In particular, methods from numerical methods can be useful in analyzing the impact of policy decisions.
X raised to power m =y raised to power m. What is the possible relation between x and y?
Answer- x=y ; x=-y(for m=even numbers)and if m=0 , x is not related to y.
If 2 raised to power 0 = 3 raised to power 0.Why 2 is not equal to 3. Give me a mathematical answer.
Answer- when x^0 = y^0, x and y need not be related. Another way to look at this is (2/3)^0 = 1 but that does not imply 2/3 itself is 1.
How can you differentiate between Pure math and Applied math?
Answer- Pure maths is maths done for its own sake. Applied maths is maths with practical use.
How’s philosophy related to pure mathematics?
Answer- Logic is a connecting link between Mathematics and Philosophy. Ancient Indian mathematics had a strong link to philosophy including the Nyaya School of thought. Ancient Greeks used to believe that Maths is the way to reach God.
1.5 hens give 1.5 eggs in 1.5 days, how many hens do we need to get 12 eggs in 6 days?
Answer- By simply using equations, we can conclude that 3 hens are required.
Tell me something about John Nash. Which disease was he suffering from?
Answer- John Nash is a mathematician famous for making groundbreaking contributions to Game Theory. He got a Nobel Prize in Economics for applying Game Theory to Economics. He was suffering from Schizophrenia.
Who gave the concept of Game Theory first?
Answer- John Von Neumann.
How many Nobel prizes have been awarded in the field of game theory?
Chairperson: You have Mathematics as your optional subject. What qualities/ values have you learned while you were preparing for civil services and how you would use those learned values in administration?
Answer- Mathematics taught me the values of objectivity and precision. I have to be pinpoint accurate in my decisions. I will use values of objectivity, rationality, precision, accuracy, and optimum utilization of resources in day-to-day governance.
Therefore if you know the answer to the aforementioned tricky questions in Mathematics, you are sure to pass the interview round with flying colors. Have a logical mindset and an analyzed thought process helps in IAS interviews about Mathematics.
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