Indian Mathematical Techniques and Data Science

Description: This quiz aims to assess your knowledge of Indian Mathematical Techniques and their applications in Data Science.
Number of Questions: 15
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Tags: indian mathematics data science mathematical techniques
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Which of the following is an ancient Indian mathematical technique used for solving linear equations?

  1. Cramer's Rule

  2. Gauss-Jordan Elimination

  3. Vedic Mathematics

  4. LU Decomposition


Correct Option: C
Explanation:

Vedic Mathematics is an ancient Indian mathematical system that includes techniques for solving linear equations, among other things.

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones. Which Indian mathematician first described the Fibonacci sequence?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Ramanujan


Correct Option: C
Explanation:

Brahmagupta was an Indian mathematician and astronomer who first described the Fibonacci sequence in the 7th century.

Which Indian mathematician developed the concept of zero and negative numbers?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Ramanujan


Correct Option: A
Explanation:

Aryabhata was an Indian mathematician and astronomer who developed the concept of zero and negative numbers in the 5th century.

The Pascal's triangle is a triangular array of binomial coefficients. Which Indian mathematician first described the Pascal's triangle?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Ramanujan


Correct Option: B
Explanation:

Bhaskara II was an Indian mathematician and astronomer who first described the Pascal's triangle in the 12th century.

Which Indian mathematician developed the concept of the sine function?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Ramanujan


Correct Option: A
Explanation:

Aryabhata was an Indian mathematician and astronomer who developed the concept of the sine function in the 5th century.

Which Indian mathematical technique is used for data summarization and visualization?

  1. Venn Diagrams

  2. Scatter Plots

  3. Histograms

  4. Pie Charts


Correct Option: A
Explanation:

Venn Diagrams are a type of diagram used to represent the relationships between different sets of data.

Which Indian mathematical technique is used for data classification and clustering?

  1. K-Means Clustering

  2. Hierarchical Clustering

  3. Decision Trees

  4. Naive Bayes


Correct Option: A
Explanation:

K-Means Clustering is a data clustering technique that divides data into a specified number of clusters.

Which Indian mathematical technique is used for data prediction and forecasting?

  1. Linear Regression

  2. Logistic Regression

  3. Decision Trees

  4. Random Forests


Correct Option: A
Explanation:

Linear Regression is a data prediction technique that uses a linear equation to model the relationship between a dependent variable and one or more independent variables.

Which Indian mathematical technique is used for data dimensionality reduction?

  1. Principal Component Analysis

  2. Singular Value Decomposition

  3. Factor Analysis

  4. Multidimensional Scaling


Correct Option: A
Explanation:

Principal Component Analysis is a data dimensionality reduction technique that transforms a set of correlated variables into a set of uncorrelated variables called principal components.

Which Indian mathematical technique is used for data optimization?

  1. Linear Programming

  2. Integer Programming

  3. Dynamic Programming

  4. Convex Optimization


Correct Option: A
Explanation:

Linear Programming is a data optimization technique that finds the optimal solution to a linear objective function subject to linear constraints.

Which Indian mathematical technique is used for data anomaly detection?

  1. Isolation Forest

  2. Local Outlier Factor

  3. One-Class SVM

  4. K-Nearest Neighbors


Correct Option: A
Explanation:

Isolation Forest is a data anomaly detection technique that isolates anomalies by randomly selecting a subset of features and building decision trees on them.

Which Indian mathematical technique is used for data sentiment analysis?

  1. Naive Bayes

  2. Support Vector Machines

  3. Logistic Regression

  4. Decision Trees


Correct Option: A
Explanation:

Naive Bayes is a data sentiment analysis technique that uses Bayes' theorem to classify text data into positive or negative sentiment.

Which Indian mathematical technique is used for data recommendation systems?

  1. Collaborative Filtering

  2. Content-Based Filtering

  3. Hybrid Filtering

  4. Matrix Factorization


Correct Option: A
Explanation:

Collaborative Filtering is a data recommendation system technique that uses user-item interactions to predict user preferences.

Which Indian mathematical technique is used for data fraud detection?

  1. Logistic Regression

  2. Decision Trees

  3. Random Forests

  4. Support Vector Machines


Correct Option: A
Explanation:

Logistic Regression is a data fraud detection technique that uses a logistic function to model the probability of fraud.

Which Indian mathematical technique is used for data risk assessment?

  1. Value at Risk

  2. Expected Shortfall

  3. Conditional Value at Risk

  4. Tail Value at Risk


Correct Option: A
Explanation:

Value at Risk is a data risk assessment technique that measures the maximum possible loss in a portfolio over a given time horizon at a given confidence level.

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