Indian Mathematical Models and Data Science

Description: This quiz covers the topic of Indian Mathematical Models and Data Science. It includes questions on various aspects of Indian mathematics, such as its history, major contributions, and applications in data science.
Number of Questions: 15
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Tags: indian mathematics data science mathematical models
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Who is considered the father of Indian mathematics?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Aryabhata is widely regarded as the father of Indian mathematics due to his significant contributions to the field, including the development of the decimal system and the concept of zero.

Which Indian mathematician is known for his work on the Fibonacci sequence?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Brahmagupta is credited with discovering the Fibonacci sequence and providing a formula for calculating its terms.

What is the name of the Indian mathematical text written by Bhaskara II in the 12th century?

  1. Lilavati

  2. Bijaganita

  3. Siddhanta Shiromani

  4. Surya Siddhanta


Correct Option: A
Explanation:

Lilavati is a treatise on mathematics written by Bhaskara II in the 12th century. It covers topics such as arithmetic, algebra, geometry, and astronomy.

Which Indian mathematician is known for his work on number theory and modular arithmetic?

  1. Aryabhata

  2. Bhaskara II

  3. Brahmagupta

  4. Srinivasa Ramanujan


Correct Option: D
Explanation:

Srinivasa Ramanujan was a brilliant Indian mathematician who made significant contributions to number theory and modular arithmetic. He is known for his discovery of the Ramanujan prime and the Ramanujan theta function.

What is the name of the Indian mathematical model used for predicting the behavior of complex systems?

  1. The SIR model

  2. The Lotka-Volterra model

  3. The Navier-Stokes equations

  4. The Ising model


Correct Option: A
Explanation:

The SIR model is a compartmental model used to describe the dynamics of infectious diseases in a population. It divides the population into three compartments: susceptible, infected, and recovered.

Which Indian data science technique is used for clustering similar data points together?

  1. K-means clustering

  2. Hierarchical clustering

  3. Density-based clustering

  4. Mean-shift clustering


Correct Option: A
Explanation:

K-means clustering is a widely used data science technique for clustering similar data points together. It works by dividing the data into a specified number of clusters, where each cluster is represented by a centroid.

What is the name of the Indian data science algorithm used for predicting continuous values?

  1. Linear regression

  2. Logistic regression

  3. Decision trees

  4. Random forest


Correct Option: A
Explanation:

Linear regression is a data science algorithm used for predicting continuous values. It fits a linear model to the data, where the output is a linear combination of the input features.

Which Indian data science technique is used for classifying data points into different categories?

  1. K-nearest neighbors

  2. Support vector machines

  3. Naive Bayes

  4. Decision trees


Correct Option: D
Explanation:

Decision trees are a data science technique used for classifying data points into different categories. They work by recursively splitting the data into smaller subsets based on the values of the input features.

What is the name of the Indian data science algorithm used for detecting anomalies in data?

  1. Isolation forest

  2. Local outlier factor

  3. One-class SVM

  4. Autoencoder


Correct Option: A
Explanation:

Isolation forest is a data science algorithm used for detecting anomalies in data. It works by isolating data points that are significantly different from the rest of the data.

Which Indian data science technique is used for reducing the dimensionality of data?

  1. Principal component analysis

  2. Singular value decomposition

  3. Factor analysis

  4. Linear discriminant analysis


Correct Option: A
Explanation:

Principal component analysis (PCA) is a data science technique used for reducing the dimensionality of data. It works by identifying the principal components of the data, which are the directions of maximum variance.

What is the name of the Indian data science algorithm used for generating synthetic data?

  1. Generative adversarial networks

  2. Variational autoencoders

  3. Normalizing flows

  4. Copula models


Correct Option: A
Explanation:

Generative adversarial networks (GANs) are a data science algorithm used for generating synthetic data. They work by training two neural networks, a generator and a discriminator, to compete against each other.

Which Indian data science technique is used for extracting insights from unstructured text data?

  1. Natural language processing

  2. Machine translation

  3. Sentiment analysis

  4. Topic modeling


Correct Option: A
Explanation:

Natural language processing (NLP) is a data science technique used for extracting insights from unstructured text data. It involves tasks such as text classification, sentiment analysis, and machine translation.

What is the name of the Indian data science algorithm used for recommending products or services to users?

  1. Collaborative filtering

  2. Content-based filtering

  3. Hybrid recommender systems

  4. Context-aware recommender systems


Correct Option: A
Explanation:

Collaborative filtering is a data science algorithm used for recommending products or services to users. It works by finding users with similar preferences and recommending items that they have liked in the past.

Which Indian data science technique is used for detecting fraud in financial transactions?

  1. Anomaly detection

  2. Classification

  3. Regression

  4. Clustering


Correct Option: A
Explanation:

Anomaly detection is a data science technique used for detecting fraud in financial transactions. It works by identifying transactions that are significantly different from the rest of the data.

What is the name of the Indian data science algorithm used for optimizing business processes?

  1. Operations research

  2. Simulation

  3. Queuing theory

  4. Inventory management


Correct Option: A
Explanation:

Operations research is a data science algorithm used for optimizing business processes. It involves the use of mathematical models and techniques to improve the efficiency and effectiveness of business operations.

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