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Indian Mathematical Techniques in Industrial Risk Assessment

Description: This quiz will test your knowledge of Indian mathematical techniques used in industrial risk assessment.
Number of Questions: 15
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Which of the following Indian mathematical techniques is used to assess the risk of a hazardous event occurring?

  1. Vedic Mathematics

  2. Ganita Sara Sangraha

  3. Lilavati

  4. Aryabhatiya


Correct Option: D
Explanation:

Aryabhatiya, written by Aryabhata in the 5th century CE, contains a chapter on risk assessment called the 'Ganita Pada'. This chapter provides methods for calculating the probability of a hazardous event occurring, as well as the potential consequences of such an event.

The 'Ganita Pada' of Aryabhatiya uses a technique called 'anka ganita' to calculate the probability of a hazardous event occurring. What is 'anka ganita'?

  1. A method of counting

  2. A method of calculating probabilities

  3. A method of solving equations

  4. A method of measuring risk


Correct Option: B
Explanation:

Anka ganita is a method of calculating probabilities that was developed by Indian mathematicians in the 5th century CE. It is based on the idea that the probability of an event occurring is equal to the number of favorable outcomes divided by the total number of possible outcomes.

The 'Ganita Pada' of Aryabhatiya also provides methods for calculating the potential consequences of a hazardous event. One of these methods is called 'ashtavarga'. What is 'ashtavarga'?

  1. A method of calculating the severity of a hazardous event

  2. A method of calculating the likelihood of a hazardous event occurring

  3. A method of calculating the risk of a hazardous event occurring

  4. A method of measuring the impact of a hazardous event


Correct Option: A
Explanation:

Ashtavarga is a method of calculating the severity of a hazardous event that was developed by Indian mathematicians in the 5th century CE. It is based on the idea that the severity of an event is determined by eight factors: fire, water, earth, air, ether, time, space, and direction.

Which of the following Indian mathematical techniques is used to identify the hazards that may be present in an industrial facility?

  1. Vedic Mathematics

  2. Ganita Sara Sangraha

  3. Lilavati

  4. Aryabhatiya


Correct Option: B
Explanation:

Ganita Sara Sangraha, written by Mahavira in the 9th century CE, contains a chapter on hazard identification called the 'Vyavahara Pada'. This chapter provides a list of potential hazards that may be present in an industrial facility, as well as methods for identifying these hazards.

The 'Vyavahara Pada' of Ganita Sara Sangraha classifies hazards into four categories. What are these four categories?

  1. Natural hazards, man-made hazards, technological hazards, and environmental hazards

  2. Fire hazards, explosion hazards, chemical hazards, and biological hazards

  3. Physical hazards, chemical hazards, biological hazards, and psychological hazards

  4. Electrical hazards, mechanical hazards, radiation hazards, and ergonomic hazards


Correct Option: A
Explanation:

The 'Vyavahara Pada' of Ganita Sara Sangraha classifies hazards into four categories: natural hazards (e.g., earthquakes, floods, and hurricanes), man-made hazards (e.g., fires, explosions, and chemical spills), technological hazards (e.g., machinery accidents and computer failures), and environmental hazards (e.g., air pollution, water pollution, and soil contamination).

Which of the following Indian mathematical techniques is used to develop strategies for preventing or mitigating the risks associated with industrial hazards?

  1. Vedic Mathematics

  2. Ganita Sara Sangraha

  3. Lilavati

  4. Aryabhatiya


Correct Option: C
Explanation:

Lilavati, written by Bhaskara II in the 12th century CE, contains a chapter on risk management called the 'Vyavahara Bija Ganita'. This chapter provides methods for developing strategies for preventing or mitigating the risks associated with industrial hazards.

The 'Vyavahara Bija Ganita' of Lilavati provides a method for calculating the 'vyavahara bija', which is a measure of the risk associated with a particular hazard. What is the formula for calculating the vyavahara bija?

  1. Vyavahara bija = (Likelihood of occurrence) x (Severity of consequences)

  2. Vyavahara bija = (Likelihood of occurrence) + (Severity of consequences)

  3. Vyavahara bija = (Likelihood of occurrence) / (Severity of consequences)

  4. Vyavahara bija = (Likelihood of occurrence) - (Severity of consequences)


Correct Option: A
Explanation:

The formula for calculating the vyavahara bija is Vyavahara bija = (Likelihood of occurrence) x (Severity of consequences). The likelihood of occurrence is a measure of how likely it is that the hazard will occur, while the severity of consequences is a measure of the potential consequences of the hazard occurring.

The 'Vyavahara Bija Ganita' of Lilavati also provides methods for developing strategies for preventing or mitigating the risks associated with industrial hazards. One of these methods is called 'prayoga'. What is 'prayoga'?

  1. A method of conducting experiments

  2. A method of developing mathematical models

  3. A method of collecting data

  4. A method of analyzing data


Correct Option: A
Explanation:

Prayoga is a method of conducting experiments that was developed by Indian mathematicians in the 12th century CE. It is based on the idea that the best way to learn about a phenomenon is to conduct experiments and observe the results.

Which of the following Indian mathematical techniques is used to analyze the data collected from experiments and develop mathematical models of industrial hazards?

  1. Vedic Mathematics

  2. Ganita Sara Sangraha

  3. Lilavati

  4. Aryabhatiya


Correct Option: D
Explanation:

Aryabhatiya, written by Aryabhata in the 5th century CE, contains a chapter on data analysis and mathematical modeling called the 'Ganita Pada'. This chapter provides methods for analyzing data collected from experiments and developing mathematical models of industrial hazards.

The 'Ganita Pada' of Aryabhatiya provides a method for developing a 'ganita yantra', which is a mathematical model of an industrial hazard. What is a ganita yantra?

  1. A physical model of an industrial hazard

  2. A mathematical model of an industrial hazard

  3. A computer model of an industrial hazard

  4. A graphical model of an industrial hazard


Correct Option: B
Explanation:

A ganita yantra is a mathematical model of an industrial hazard. It is a set of equations that describes the behavior of the hazard and can be used to predict the potential consequences of the hazard occurring.

The 'Ganita Pada' of Aryabhatiya also provides methods for using ganita yantras to develop strategies for preventing or mitigating the risks associated with industrial hazards. One of these methods is called 'upaya'. What is 'upaya'?

  1. A method of developing strategies for preventing or mitigating risks

  2. A method of conducting experiments

  3. A method of collecting data

  4. A method of analyzing data


Correct Option: A
Explanation:

Upaya is a method of developing strategies for preventing or mitigating the risks associated with industrial hazards. It is based on the idea that the best way to prevent or mitigate a risk is to identify the root cause of the risk and then develop a strategy to address the root cause.

Which of the following Indian mathematical techniques is used to communicate the results of risk assessments to decision-makers?

  1. Vedic Mathematics

  2. Ganita Sara Sangraha

  3. Lilavati

  4. Aryabhatiya


Correct Option: C
Explanation:

Lilavati, written by Bhaskara II in the 12th century CE, contains a chapter on risk communication called the 'Vyavahara Bija Ganita'. This chapter provides methods for communicating the results of risk assessments to decision-makers.

The 'Vyavahara Bija Ganita' of Lilavati provides a method for developing a 'vyavahara bija patra', which is a risk communication document. What is a vyavahara bija patra?

  1. A document that describes the results of a risk assessment

  2. A document that provides recommendations for preventing or mitigating risks

  3. A document that communicates the results of a risk assessment to decision-makers

  4. A document that describes the methods used to conduct a risk assessment


Correct Option: C
Explanation:

A vyavahara bija patra is a risk communication document that is used to communicate the results of a risk assessment to decision-makers. It typically includes a description of the hazard, the likelihood of occurrence, the potential consequences, and the recommended strategies for preventing or mitigating the risk.

The 'Vyavahara Bija Ganita' of Lilavati also provides methods for using vyavahara bija patras to engage stakeholders in the risk management process. One of these methods is called 'samvada'. What is 'samvada'?

  1. A method of engaging stakeholders in the risk management process

  2. A method of conducting experiments

  3. A method of collecting data

  4. A method of analyzing data


Correct Option: A
Explanation:

Samvada is a method of engaging stakeholders in the risk management process. It is based on the idea that the best way to manage risk is to involve all stakeholders in the process and to get their input on the best way to prevent or mitigate the risk.

Which of the following Indian mathematical techniques is used to evaluate the effectiveness of risk management strategies?

  1. Vedic Mathematics

  2. Ganita Sara Sangraha

  3. Lilavati

  4. Aryabhatiya


Correct Option: D
Explanation:

Aryabhatiya, written by Aryabhata in the 5th century CE, contains a chapter on risk evaluation called the 'Ganita Pada'. This chapter provides methods for evaluating the effectiveness of risk management strategies.

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