Indian Mathematical Applications and Data Science

Description: This quiz is designed to assess your knowledge of Indian Mathematical Applications and Data Science. It covers various aspects of how mathematical concepts and techniques are used in different fields in India.
Number of Questions: 15
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Which Indian mathematician is known for his contributions to number theory, including the Hardy-Ramanujan asymptotic formula?

  1. Srinivasa Ramanujan

  2. C. R. Rao

  3. D. R. Kaprekar

  4. S. S. Shrikhande


Correct Option: A
Explanation:

Srinivasa Ramanujan was a self-taught Indian mathematician who made significant contributions to number theory, including the Hardy-Ramanujan asymptotic formula.

What is the name of the Indian statistical method that uses a series of concentric circles to represent data?

  1. Tukey's test

  2. Hotelling's T-squared test

  3. Wilcoxon signed-rank test

  4. Chakravarti-Mudholkar-Subramanyam method


Correct Option: D
Explanation:

The Chakravarti-Mudholkar-Subramanyam method is an Indian statistical method that uses a series of concentric circles to represent data.

Which Indian mathematician is known for his work on graph theory, including the Erdős-Rényi model?

  1. P. K. Srinivasan

  2. V. R. R. Uppuluri

  3. N. R. Ranga Rao

  4. S. N. Bhatt


Correct Option: A
Explanation:

P. K. Srinivasan is an Indian mathematician known for his work on graph theory, including the Erdős-Rényi model.

What is the name of the Indian data mining algorithm that uses a decision tree to classify data?

  1. C4.5

  2. ID3

  3. CART

  4. CHAID


Correct Option: D
Explanation:

CHAID (Chi-squared Automatic Interaction Detection) is an Indian data mining algorithm that uses a decision tree to classify data.

Which Indian mathematician is known for his contributions to probability theory, including the Bahadur-Rao theorem?

  1. R. R. Bahadur

  2. V. K. Rohatgi

  3. J. K. Ghosh

  4. S. R. S. Varadhan


Correct Option: A
Explanation:

R. R. Bahadur is an Indian mathematician known for his contributions to probability theory, including the Bahadur-Rao theorem.

What is the name of the Indian statistical method that uses a permutation test to test the significance of a difference between two groups?

  1. Wilcoxon signed-rank test

  2. Mann-Whitney U test

  3. Kruskal-Wallis test

  4. Friedman test


Correct Option: A
Explanation:

The Wilcoxon signed-rank test is an Indian statistical method that uses a permutation test to test the significance of a difference between two groups.

Which Indian mathematician is known for his work on algebraic geometry, including the Chow ring?

  1. S. Ramanan

  2. V. B. Mehta

  3. C. S. Seshadri

  4. M. S. Raghunathan


Correct Option: A
Explanation:

S. Ramanan is an Indian mathematician known for his work on algebraic geometry, including the Chow ring.

What is the name of the Indian data mining algorithm that uses a genetic algorithm to find patterns in data?

  1. GA-based clustering

  2. GA-based classification

  3. GA-based feature selection

  4. GA-based association rule mining


Correct Option: D
Explanation:

GA-based association rule mining is an Indian data mining algorithm that uses a genetic algorithm to find patterns in data.

Which Indian mathematician is known for his contributions to analysis, including the Wiener-Hopf equation?

  1. R. P. Boas

  2. N. K. Nikolski

  3. B. Muckenhoupt

  4. A. Zygmund


Correct Option: A
Explanation:

R. P. Boas is an Indian mathematician known for his contributions to analysis, including the Wiener-Hopf equation.

What is the name of the Indian statistical method that uses a likelihood ratio test to test the significance of a difference between two models?

  1. Likelihood ratio test

  2. Wald test

  3. Score test

  4. Lagrange multiplier test


Correct Option: A
Explanation:

The likelihood ratio test is an Indian statistical method that uses a likelihood ratio test to test the significance of a difference between two models.

Which Indian mathematician is known for his work on differential geometry, including the Gauss-Bonnet theorem?

  1. S. S. Chern

  2. C. N. Yang

  3. T. Y. Thomas

  4. K. Yano


Correct Option: A
Explanation:

S. S. Chern is an Indian mathematician known for his work on differential geometry, including the Gauss-Bonnet theorem.

What is the name of the Indian data mining algorithm that uses a fuzzy logic system to classify data?

  1. Fuzzy C-means clustering

  2. Fuzzy decision tree

  3. Fuzzy neural network

  4. Fuzzy rule-based classification


Correct Option: D
Explanation:

Fuzzy rule-based classification is an Indian data mining algorithm that uses a fuzzy logic system to classify data.

Which Indian mathematician is known for his contributions to topology, including the homology theory?

  1. S. Lefschetz

  2. S. Eilenberg

  3. N. E. Steenrod

  4. J. W. Milnor


Correct Option: A
Explanation:

S. Lefschetz is an Indian mathematician known for his contributions to topology, including the homology theory.

What is the name of the Indian statistical method that uses a Bayesian approach to estimate the parameters of a model?

  1. Bayesian estimation

  2. Maximum likelihood estimation

  3. Least squares estimation

  4. Method of moments


Correct Option: A
Explanation:

Bayesian estimation is an Indian statistical method that uses a Bayesian approach to estimate the parameters of a model.

Which Indian mathematician is known for his work on number theory, including the Goldbach conjecture?

  1. G. H. Hardy

  2. J. E. Littlewood

  3. S. Ramanujan

  4. D. R. Kaprekar


Correct Option: C
Explanation:

S. Ramanujan is an Indian mathematician known for his work on number theory, including the Goldbach conjecture.

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