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BA · All 2025 papers

128 questions · 175 marks · 5 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

Business Analytics

All 2025 papers

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
MSQ: One or more options correct. Select all to score.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

Quiz 1 · 26 Oct 2025 (AN)Quiz 1

Q1MCQ1 Mark·Choose one option
Key ↓
Latent demand in a demand-response curve is the area obtained when?
1. APrice is reduced below the identified optimal price
2. BPrice is increased beyond the identified optimal price
3. CThe optimal price is increased beyond the maximum available price
4. DQuantity is reduced below the identified optimal quantity
Q2MSQ1 Mark·Choose all correct options
Asked 2 times Key ↓
Which of the following distributions is/are Symmetric in nature (choose all that are applicable)?
1. AStandard Normal distribution
2. BStandard Binomial distribution
3. CUniform distribution
4. DPoisson distribution
Read the passage below, then answer Q3–Q5
(The following is a purely imaginary scenario)
An insurance company believes that people can be divided into two classes: “Class-1: Those who are accident prone” and “Class-2: Those who are not accident prone”. The company’s statistics show that an accident-prone person will have an accident at sometime within a fixed 1-year period with probability 0.4, whereas this probability decreases to 0.2 for a person who is not accident prone. It is assumed that 30 percent of the human population is accident prone. Given this information, answer the sub-questions.
Q3NAT1 Mark·Write the number
Asked 2 times Key ↓
What is the probability that a new policyholder will have an accident within a year of purchasing a policy? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Q4NAT1 Mark·Write the number
Asked 3 times Key ↓
Suppose you learn that a new policyholder has an accident within a year of purchasing a policy. Then, what is the probability that the person is accident prone? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Q5NAT1 Mark·Write the number
Key ↓
The insurance company has to pay an insurance fee of Rs. 10 per accident if the accident happens in the first year. If the company has sold 1000 insurances in total, then how much money (in Rs.) will it expect to pay at the end of the first year for Class-2 people? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “Rs. 1.235”, then enter it as “1.24”)
Your answer:
Read the passage below, then answer Q6–Q8
(The following is a purely imaginary scenario)
The demand for ice creams at different prices in the supermarket at IITM is specified in Table-1. Given this data, answer the subquestions (Note: For all the sub-questions, round your answer to two decimal places. Eg: If your answer is 10.256, then round it to 10.26)
Q6NAT1 Mark·Write the number
Asked 2 times Key ↓
If a linear demand-response curve is fit for the data in Table-1, what is the satiating price for ice creams? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Q7NAT1 Mark·Write the number
Asked 2 times Key ↓
If a linear demand-response curve is fit for the data in Table-1, what is the market size for ice creams? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Q8NAT1 Mark·Write the number
Asked 2 times Key ↓
What is the elasticity of the linear demand-response curve, when the price is Rs. 35? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Read the passage below, then answer Q9–Q12
(The following is a partially imaginary scenario)
The BA discourse is often cluttered with queries / requests related to solutions for Past Year Question Papers (PYQP). The course instructor, Dr. Milo, had been informing that students need to put in effort to find solutions by searching the discourse. However, the results seem to be disappointing. Therefore, Dr. Milo wanted to do a few basic analytics on discourse behaviour of students. Past student data was collected for the analysis.
Past data was collected for the BA terms in Jan-2022, May-2022, Sep-2022, Jan-2023, May-2023 and Sep-2023. For each term, 150 randomly selected unique student IDs were sampled. Of the 150 student IDs, 75 were “Male” and the remaining were “Female”. The learners in the discourse have either “followed the instructions” or “not followed the instructions” or “have not accessed the discourse at all” (these three are referred to as access categories). Specifically, for the sample data in the different terms (in sequence of earliest term to later term i.e. Jan-2022 to Sep-2023) it was observed that
1. For the Male sample: 30, 20, 35, 35, 45 and 35 had not followed the instructions respectively in each term (i.e 30 male learners had not followed the instructions in Jan-2022 term and so on) 2. For the Male sample: 20, 10, 15, 15, 15 and 10 had not accessed discourse at all respectively in each term (i.e 20 male learners had not accessed discourse at all in Jan-2022 term and so on) 3. For the female sample: 15, 22, 33, 25, 20 and 20 had followed the instructions respectively in each term (i.e 15 female learners had followed the instructions in Jan-2022 term and so on) 4. For the female sample: 30, 20, 25, 25, 25 and 10 had not accessed discourse at all respectively in each term (i.e 30 female learners had not accessed discourse at all in Jan-2022 term and so on) Moreover, Dr. Milo assumes that all learners in the “followed the instructions” category are Uniformly distributed between 4 and 75. A total of 6 bins of equal area are created for performing the appropriate statistical test. Each term is a sample point.
Given this information, answer the sub questions.
Q9NAT1 Mark·Write the number
Key ↓
What is the probability that a specific term will fall in Bin-4 when performing the hypothesis test to check if Dr. Milo’s assumption that all learners in the “followed the instructions” category are Uniformly distributed? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “0.235”, then enter it as “0.24”)
Your answer:
Q10NAT1 Mark·Write the number
Asked 2 times Key ↓
What will be the expected frequency in Bin-2 when performing the hypothesis test to check if Dr. Milo’s assumption that all learners in the “followed the instructions” category are Uniformly distributed? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Q11NAT3 Marks·Write the number
Asked 4 times Key ↓
What is the value of the computed test statistic which will be used to check if Dr. Milo’s assumption that all learners in the “followed the instructions” category are Uniformly distributed? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Q12NAT1 Mark·Write the number
Asked 5 times Key ↓
How many degrees of freedom is present for the hypothesis test used to check if Dr. Milo’s assumption that all learners in the “followed the instructions” category are Uniformly distributed?
Your answer:
Read the passage below, then answer Q13–Q15
(The following is a purely imaginary scenario)
A company sells two products (A and B) in four different marketplaces. In the first marketplace, the sales are made at the Forenoon (FN). In the second marketplace, sales are made during the Afternoon (AN). In the third marketplace, sales are made during the Evening (E). In the fourth marketplace, sales are made during the Night (N). Table-2 provides the data on the sales in the four marketplaces for the two products in the first 5 days on January 2023. Using this data, answer the given subquestions.
Q13NAT2 Marks·Write the number
Asked 3 times Key ↓
The question of whether total sales in different marketplaces for product A and total sales in different marketplaces for product B are independent across the different days is being checked. Then what is the expected frequency for “Product-B” on “03-01-2025”? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Q14NAT3 Marks·Write the number
Asked 2 times Key ↓
The question of whether total sales in different marketplaces for product A and total sales in different marketplaces for product B are independent across the different days is being checked. Then what is the value of the computed test statistic? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:
Q15NAT1 Mark·Write the number
Key ↓
The question of whether total sales in different marketplaces for product A and total sales in different marketplaces for product B are independent across the different days is being checked. Then what is the number of degrees of freedom for the test? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)
Your answer:

End Term · 31 Aug 2025 (FN)End Term

Read the passage below, then answer Q16–Q20
The Following Comprehension and Related Questions are Purely Hypothetical
MiloBurgers, a fast-food restaurant sells two types of products: “Double Cheese Veggy” (DCV) burgers and “Cheese Veggy” (CV) burgers. The DCV uses 0.5Kg of cheese and the CV uses only 0.2kg of cheese. The restaurant starts the day with 200Kg of cheese but may order more at an additional cost of ₹25 per Kg to cover the delivery cost. Any surplus cheese at the end of the day is donated to charity. MiloBurgers sells a DCV for ₹100 and a CV for ₹80. All in all, MiloBurgers does not expect to sell more than 900 items in total during a day and the owner wants to maximizes the profit for the coming day. Assume that whatever combination is made (a solution to the problem) can be sold. Given this information, answer the given subquestions.
Q16NAT1 Mark·Write the number
Asked 3 times Key ↓
How many decision variables are present in the standard form of the primal, if the given problem is formulated as a Linear Programming Problem?
Your answer:
Q17NAT1 Mark·Write the number
Asked 2 times Key ↓
How many decision variables are present in the Dual form (which is formulated based on the standard form of the primal) if the given problem is formulated as Linear Programming Problem?
Your answer:
Q18NAT1 Mark·Write the number
Asked 3 times Key ↓
If the restaurant decides to make 450 DCVs and 450 CVs, then what is the value of the objective function for the linear program which is in the standard form of the primal? [Note: Enter your answer in decimal rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q19NAT1 Mark·Write the number
Asked 3 times Key ↓
If the restaurant decides to make 450 DCVs and 450 CVs, then how many decision variables in the Dual form (which is formulated based on the standard form of the primal) will have a value of “0”, if the given problem is formulated as Linear Programming Problem?
Your answer:
Q20MCQ1 Mark·Choose one option
Asked 2 times Key ↓
If the restaurant decides to make 450 DCVs and 450 CVs, then which of the following option is correct
1. AThe restaurant will order more cheese in addition to the cheese available in stock
2. BThe restaurant will not order more cheese and will completely consume the available cheese
3. CThe restaurant will donate some cheese to charity as it has surplus
4. DCannot say as more information is required
Read the passage below, then answer Q21–Q23
The Following Comprehension and Related Questions are Purely Hypothetical
A company has collected data on the average monthly electricity consumed for air conditioning (dependent variable) relative to (i) Average ambient temperature of the month, (ii) Total number of working days in the month and (iii) Average number of employees who have worked in that month. This data is provided in Table-1. Additionally, the correlation matrix for the different variables in Table-1 is provided in Figure-1. Given this information, answer the given subquestions.
Q21NAT2 Marks·Write the number
Asked 2 times Key ↓
What is the total variability in the dependent variable? [Note: Enter your answer in decimal rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q22NAT2 Marks·Write the number
Asked 3 times Key ↓
What is the expected percentage inflation (increase) in the standard error of the beta value corresponding to “Average Number of Employees who have Worked” due to “Total Number of Working Days” if a model with only these two variables is built for predicting “Average Electricity Consumed”? [Note: Enter your answer in “PERCENTAGE” rounded to two decimal places without the percentage symbol. For example, if your answer is 1.235% then enter the answer as “1.24”]
Your answer:
Q23MSQ1 Mark·Choose all correct options
Key ↓
Based on the expected percentage inflation (increase) in the standard error of the beta value corresponding to “Average Number of Employees who have Worked” due to “Total Number of Working Days” if a model with only these two variables is built for predicting “Average Electricity Consumed”, which of the following statements is/are TRUE (choose all that is applicable)?
1. AThe t-statistic corresponding to the “Beta value of Average Number of Employees who have Worked” will increase. Hence, the corresponding NULL HYPOTHESIS will be REJECT
2. BThe t-statistic corresponding to the “Beta value of Average Number of Employees who have Worked” will increase. Hence, the corresponding NULL HYPOTHESIS will NOT BE REJECTED
3. CThe t-statistic corresponding to the “Beta value of Total Number of Working Days” will increase. Hence, the corresponding NULL HYPOTHESIS will be REJECT
4. DThe t-statistic corresponding to the “Beta value of Total Number of Working Days” will increase. Hence, the corresponding NULL HYPOTHESIS will NOT be REJECT
Q24MSQ1 Mark·Choose all correct options
Asked 4 times Key ↓
The computed p-value of a chi-square goodness-of-fit test is 0.167. Then, which of the following statements are TRUE
1. AAt a 5% level of significance, the null hypothesis is rejected
2. BAt a 5% level of significance, the null hypothesis is not-rejected
3. CAt a 10% level of significance, the null hypothesis is rejected
4. DAt a 10% level of significance, the null hypothesis is not-rejected
5. EAt a 5% level of significance, the alternative hypothesis is rejected
6. FAt a 5% level of significance, the alternative hypothesis is not-rejected
7. GAt a 10% level of significance, the alternative hypothesis is rejected
8. HAt a 10% level of significance, the alternative hypothesis is not-rejected
9. ICannot conclude only based on the P-value and Significance Level. Need the computed Chi-Square value as well.
Q25MCQ1 Mark·Choose one option
Key ↓
Say you build a multiple regression model using 6 independent variables and 20 data points. This is called Model-1. The R-Square for Model-1 is 94%. You then decide to add four more variables (such that the sample size is still 20) to the model and develop a new model called Model-2. The R- Squared for Model-2 is 95%. Then which of the following statements is/are TRUE?
1. AModel-1 is better as it has lower R-Squared
2. BModel-1 is better as it has lower Adjusted R-Square
3. CModel-1 is better as it has higher Adjusted R-Square
4. DModel-2 is better as it has higher R-Square
5. EModel-2 is better as it has lower Adjusted R-Square
6. FModel-2 is better as it has higher Adjusted R-Square
7. GNone of these
Q26MCQ1.5 Marks·Choose one option
Asked 3 times Key ↓
The Following Question is Purely Hypothetical Your family is seeking an alliance for you and has found three matrimonial services “X”, “Y” and “Z”. Assume that the enrolment in the matrimonial services is mutually exclusive. A market survey indicates that 40% of total enrolments are in “X”, 35% are in “Y” and the remaining are in “Z”. The market survey also indicates that 25% of registrations in “X” find a suitable match, 40% in “Y” find a suitable match, and 30% in “Z” find a suitable match. Recently, your family has heard the news that a relative “P” has not found a suitable match after enrolling in one of the matrimonial services. Then which matrimonial service would you suspect “P” to have enrolled in?
1. AZ
2. BY
3. CX
4. DCannot say as I am already married (This is not the correct answer to this question. Just relax, think and choose from the other three)
Read the passage below, then answer Q27–Q31
The Following Comprehension and Related Questions are Purely Hypothetical
A manufacturer produces lenses for sunglasses. In a given day, a total of 100 products were produced. Products produced can have anywhere between no scratches to 3 scratches. From past experience, it is seen that the lenses break if it has more than 3 scratches. Broken lenses are not included in the 100 units which are provided to you. On examining the 100 units, the below Table- 2 on the products with scratches is determined. Based on the production lot of 100 units (given sample), you are asked to check if the “Number of Scratches on produced lenses” follows a Poisson Distribution. Given this information, answer the given subquestions.
Q27NAT1 Mark·Write the number
Asked 2 times Key ↓
What would be the mean of the distribution, if you want to check the hypothesis “The number of scratches on a produced lens follows a Poisson Distribution”? [Note: Enter your answer rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q28MCQ0.5 Marks·Choose one option
Key ↓
Which of the following is the correct PMF formula for a Poisson Distribution?
1. A
2. B
3. C
4. D
5. E
Q29NAT0.5 Marks·Write the number
Asked 5 times Key ↓
How many (count) of degrees of freedom will be presented for the computed test statistic for this problem if you want to check the hypothesis “The number of scratcheson a produced lens follows a Poisson Distribution”?
Your answer:
Q30NAT3 Marks·Write the number
Asked 4 times Key ↓
What is the value of the computed test statistic for the test to be performed if you want to check the hypothesis “The number of scratches on a produced lens follows a Poisson Distribution”? [Note: Enter your answer rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q31MSQ1 Mark·Choose all correct options
Asked 4 times Key ↓
Based on the computed test statistic for the test to be performed, using Figure-2, at a significance level of 10% what will be concluded (choose all that are correct)?
1. AReject the Null Hypothesis
2. BDo not Reject the Null Hypothesis
3. CReject the Alternative Hypothesis
4. DDo not Reject the Alternative Hypothesis
5. EAccept the Null Hypothesis
6. FAccept the Alternative Hypothesis
Read the passage below, then answer Q32–Q38
Assume that you have trained a logistic regression model on a training dataset containing features X1 and X2. The coefficients obtained and threshold are given in Table 1.
Predict the target variable (y_pred) in the test dataset (Table 2) using the available information.
Based on the available information, answer the given subquestions:
Q32NAT1 Mark·Write the number
Asked 5 times Key ↓
What is the accuracy of the logistic regression model? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.635450, then enter the answer as “63.5450”]
Your answer:
Q33NAT1.5 Marks·Write the number
Asked 8 times Key ↓
What is the precision of class 1? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.635450, then enter the answer as “63.5450”]
Your answer:
Q34NAT1.5 Marks·Write the number
Asked 8 times Key ↓
What is the recall of class 1? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.635450, then enter the answer as “63.5450”]
Your answer:
Q35NAT1.5 Marks·Write the number
Asked 8 times Key ↓
What is the precision of class 0? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.635450, then enter the answer as “63.5450”]
Your answer:
Q36NAT1.5 Marks·Write the number
Asked 8 times Key ↓
What is the recall of class 0? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.635450, then enter the answer as “63.5450”]
Your answer:
Q37MSQ1.5 Marks·Choose all correct options
Asked 6 times Key ↓
What is the correct interpretation of the coefficient β1? (Select all that apply)
1. AIf the X1 increases by 1 unit, the log of odds of the positive outcome increases by 0.6 assuming X2 to be constant.
2. BIf the X1 increases by 1 unit, the odds of the positive increase by 82% (e ^(0.6)= 1.82) assuming X2 to be constant.
3. CHigher values of X1 are associated with an increased likelihood of the positive outcome
4. DNone of these
Q38MSQ1.5 Marks·Choose all correct options
Asked 6 times Key ↓
What is the correct interpretation of the coefficient β2? (Select all that apply)
1. AIf the X2 increases by 1 unit, the log of odds decreases by 0.65, assuming X1 to be constant.
2. BIf the X2 increases by 1 unit, the odds decrease by 48% (e^(−0.65) ≈ 0.52), assuming X1 to be constant.
3. CHigher values of X2 are associated with a decreased likelihood of the positive outcome.
4. DNone of these
Read the passage below, then answer Q39–Q40
There are six business units. There are two outputs and one input under consideration. You are solving the optimization problem for business unit 3, and you find that the efficiency is 0.9. You see that the dual variables corresponding to the constraints of business units 2 and 5 are non- zero, and the dual variables corresponding to the constraints of other units are zero. The dual variables corresponding to the constraints of business units 2 and 5 are 0.55 and 0.35, respectively. Based on Table 4, answers the given subquestions.
Hint: At every step, round off your answers to 4 decimal places.
Q39NAT2 Marks·Write the number
Asked 8 times Key ↓
How much will the Output 1 in HCU 3? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 1000.63545, then enter the answer as “1000.6355”]
Your answer:
Q40NAT2 Marks·Write the number
Asked 8 times Key ↓
How much will the Output 2 in HCU 3? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 1000.63545, then enter the answer as “1000.6355”]
Your answer:
Read the passage below, then answer Q41–Q43
We are interested in understanding the efficiency of 5 Sales Offices. Each of the Sales Offices has an approved budget and a team size for achieving a fixed target of 10,00,000. As a Business Analyst, you must formulate a DEA problem using Linear programming for the Sales Office 2. Answer the given subquestions using the Table below.
Q41MCQ1.5 Marks·Choose one option
Asked 3 times Key ↓
What is the objective function?
1. A
2. B
3. C
4. D
5. E
Q42MCQ1.5 Marks·Choose one option
Asked 3 times Key ↓
What is the type constraint?
1. A
2. B
3. C
4. D
Q43MSQ1.5 Marks·Choose all correct options
Asked 3 times Key ↓
Which of them is not a constraint for the LP problem pertaining to Sales Office 2? (Select all that apply)
1. A
2. B
3. C
4. D
5. E
6. F
Read the passage below, then answer Q44–Q47
You are in the process of selecting an ideal car when a lot of options are available. For example, the three brands that have been on top of your mind are: Maruti, Hyundai, and Volkswagen. Similarly, there are 2 engine options that are highly efficient: 1000 CC and 1500 CC. Lastly, the type of automatic gearbox is another important variable in deciding the ideal car. There are 3 gearbox options available: AMT, AT and DSC. Also, assume that Maruti is the least preferred brand, and assume AMT is the least preferred gearbox. Based on the inputs available, you build a regression model, and the coefficients are given below in Figure 1.
Based on the above data, answer the given subquestions.
Q44NAT1 Mark·Write the number
Asked 2 times Key ↓
What is the part worth to customers if he/she upgrades from Maruti to Volkswagen? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 1000.63545, then enter the answer as “1000.6355”]
Your answer:
Q45NAT2 Marks·Write the number
Asked 6 times Key ↓
How much is the weightage provided by the customer for the Brand? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.635450, then enter the answer as “63.5450”]
Your answer:
Q46NAT2 Marks·Write the number
Asked 6 times Key ↓
How much is the weightage provided by the customer for the Engine? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.635450, then enter the answer as “63.5450”]
Your answer:
Q47NAT2 Marks·Write the number
Asked 6 times Key ↓
How much is the weightage provided by the customer for the Gearbox? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.635450, then enter the answer as “63.5450”]
Your answer:

End Term · 31 Aug 2025 (AN)End Term

Q48MSQ1 Mark·Choose all correct options
Key ↓
Which of the following Regression equations is/are MLR? (Choose all that is/are applicable)
1. A
2. B
3. C
4. D
5. E
6. F
Read the passage below, then answer Q49–Q52
Given the confusion matrix in Table-1, answer the given subquestions
Q49NAT1 Mark·Write the number
Asked 5 times Key ↓
What is the number of False Positives for Class-A?
Your answer:
Q50NAT1 Mark·Write the number
Asked 8 times Key ↓
What is the precision for predicting Class-D? [Note: Enter your answer in “PERCENTAGE” rounded to two decimal places without the percentage symbol. For example, if your answer is 1.235% then enter the answer as “1.24”]
Your answer:
Q51NAT1 Mark·Write the number
Asked 8 times Key ↓
What is the recall for predicting Class-B? [Note: Enter your answer in “PERCENTAGE” rounded to two decimal places without the percentage symbol. For example, if your answer is 1.235% then enter the answer as “1.24”]
Your answer:
Q52NAT1 Mark·Write the number
Asked 5 times Key ↓
What is the accuracy of the model? [Note: Enter your answer in “PERCENTAGE” rounded to two decimal places without the percentage symbol. For example, if your answer is 1.235% then enter the answer as “1.24”]
Your answer:
Read the passage below, then answer Q53–Q56
The Following Comprehension and Related Subquestions are Purely Hypothetical A manufacturer produces lenses for sunglasses. In a given day, a total of 100 products were produced. Products produced usually can have scratches. The manufacturer is interested to see if the length of the scratches on produced lenses is normally distributed. Hence, based on the production of 100 lenses, he has identified the length of scratch on each lens and the grouped data is presented to you in Table-2. Further, from sample, the manufacturer has computed the standard deviation to be 1.00. Based on the production lot of 100 units (given sample), you are asked to check if the “Length of Scratches on produced lenses” follows a Normal Distribution. Given this information, answer the given subquestions.
Q53NAT2 Marks·Write the number
Asked 2 times Key ↓
What would be the mean of the distribution, if you want to check the hypothesis “The length of scratches on a produced lens follows a Normal Distribution”? [Note: Enter your answer rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q54NAT1 Mark·Write the number
Asked 5 times Key ↓
How many (count) of degrees of freedom will be presented for the computed test statistic for this problem if you want to check the hypothesis “The length of scratches on a produced lens follows a Normal Distribution”?
Your answer:
Q55NAT2 Marks·Write the number
Asked 2 times Key ↓
What would be expected frequency in the last bin of the frequency table (Hint: The frequency table is obtained by only modifying Table-2 without adding any new bins)? [Note: Enter your answer rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q56MSQ1 Mark·Choose all correct options
Asked 4 times Key ↓
Say the computed test statistic for the test is 12.3. Then, using Figure-2, at a significance level of 10% what will be concluded (choose all that are correct)?
1. AReject the Null Hypothesis
2. BDo not Reject the Null Hypothesis
3. CReject the Alternative Hypothesis
4. DDo not Reject the Alternative Hypothesis
5. EAccept the Null Hypothesis
6. FAccept the Alternative Hypothesis
Read the passage below, then answer Q57–Q59
The Following Comprehension and Related Subquestions are Purely Hypothetical Table-2 provides the Cumulative Television Rating Points (CTRP), money spend on promotion (in Lakhs, denoted by “P”), and the advertisement revenue (in Lakhs, denoted by “R”) generated over a one-month period for 8 different television programs. The Revenue a TV show makes is the Dependent Variable. Using this data, answer the given subquestions.
Q57NAT2 Marks·Write the number
Asked 2 times Key ↓
What is the total variability in the dependent variable? [Note: Enter your answer in decimal rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q58NAT1 Mark·Write the number
Asked 2 times Key ↓
The correlation coefficient between “CTRP” and “P” is 0.19. Then, what will be the Adjusted R- Square for the model (built using data in Table-2), where “CTRP” is the response variable and “P” is the predictor? [Note: Enter your answer in decimal rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q59NAT2 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q60–Q64
The Following Comprehension and Related Subquestions are Purely Hypothetical Milo The Goofball (MTG) is a company that makes footballs for “Recreation (R)” games and “Professional (P)” games. The process of making a football involves the following three stages Stage-1: Cutting and Dyeing
Stage-2: Sewing
Stage-3: Inspection
It is seen that making a R-game football requires 6 minutes in Stage-1, 15 minutes in Stage-2 and 6 minutes in Stage-3. On the other hand, the football for a P-game requires 12 minutes, 9 minutes and 6 minutes in Stages 1,2 and 3 respectively.
For the coming planning period of 4 weeks, MTG has 340 hours available in Stage-1, 480 hours available in Stage-2 and 300 hours available in Stage-3. Moreover, if required, MTG can avail more hours in Stage-1 at an additional cost of Rs. 200 per hour.
Moreover, a R-game football generates a profit of Rs. 500 per piece and a P-game football generates a profit of Rs. 800 per piece. Furthermore, MTG has forecasted that the maximum number of footballs it can sell is 3000. With an objective to maximize the profit, formulate the problem as a Linear Program and answer the given subquestions.
Q60NAT1 Mark·Write the number
Asked 3 times Key ↓
How many decision variables are present in the standard form of the primal linear Programming Problem?
Your answer:
Q61NAT1 Mark·Write the number
Asked 2 times Key ↓
How many decision variables are present in the Dual Linear Programming Problem (which is developed based on the standard form of the problem)?
Your answer:
Q62NAT1 Mark·Write the number
Asked 3 times Key ↓
If the company decides to make 1500 P-game footballs, 1000 R-game footballs, then how many decision variables in the Dual Linear Programming Problem (which is developed based on the standard form of the problem) will have a value of “0”?
Your answer:
Q63NAT1 Mark·Write the number
Asked 3 times Key ↓
If the company decides to make 1500 P-game footballs, 1000 R-game footballs, then what is the objective function value for the primal linear programming problem (which is in the standard form)? [Note: Enter your answer rounded to two decimal places. For example, if your answer is 1.235 then enter the answer as “1.24”]
Your answer:
Q64MSQ1 Mark·Choose all correct options
Asked 2 times Key ↓
If the MTG decides to make 1500 P-game footballs, 1000 R-game footballs, then which of the following options is/are correct
1. AMTG will purchase addition capacity in Stage-1
2. BMTG will not purchase addition capacity in Stage-1
3. CMTG will have excess capacity in Stage-1
4. DMTG will have excess capacity in Stage-2
5. EMTG will have excess capacity in Stage-3
6. FMTG will have deficit capacity in Stage-2
7. GMTG will have deficit capacity in Stage-3
8. HMTG cannot make 1500 P-game footballs and 100 R-game footballs as it is an infeasible solution
9. ICannot say as more information is required
Read the passage below, then answer Q65–Q66
Assume that you have trained a logistic regression model on a training dataset containing features X1 and X2. The coefficients obtained are given in Table 1.
Based on the above data, answer the given subquestions.
Q65MSQ1.5 Marks·Choose all correct options
Asked 6 times Key ↓
What is the correct interpretation of the coefficient β1?
1. AIf the X1 increases by 1 unit, the log of odds of the positive outcome increases by 0.3, assuming X2 to be constant.
2. BIf the X1 increases by 1 unit, the odds of the positive outcome increases by 35% (e^(0.3) = 1.35), assuming X2 to be constant.
3. CHigher values of X1 are associated with an increased likelihood of the positive outcome
4. DNone of these
Q66MSQ1.5 Marks·Choose all correct options
Asked 6 times Key ↓
What is the correct interpretation of the coefficient β2?
1. A
2. B
3. C
4. D
Q67MCQ1.5 Marks·Choose one option
Key ↓
Assume that you are working on a classification problem where you are predicting whether the patient is suffering from cancer or not. As a business analyst, select the metric that is most appropriate.
1. APrecision
2. BRecall
3. CR2
4. DMAPE
5. EAll of these
Q68MCQ1.5 Marks·Choose one option
Key ↓
Assume that you are working on a classification problem where you are predicting whether the email is spam or not. As a business analyst, select the metric that is most appropriate.
1. APrecision
2. BRecall
3. CR2
4. DMAPE
5. EAll of these
Read the passage below, then answer Q69–Q70
There are six business units. There are two outputs and one input under consideration. You are solving the optimization problem for business unit 3, and you find that the efficiency is 0.8. You see that the dual variables corresponding to the constraints of business units 2 and 5 are non- zero, and the dual variables corresponding to the constraints of other units are zero. The dual variables corresponding to the constraints of business units 2 and 5 are 0.55 and 0.25, respectively. Based on Table 4, answers the given subquestions.
Hint: At every step, round off your answers to 4 decimal places.
Q69NAT2 Marks·Write the number
Asked 8 times Key ↓
How much will the Output 1 in HCU 3? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 1000.63545, then enter the answer as “1000.6355”]
Your answer:
Q70NAT2 Marks·Write the number
Asked 8 times Key ↓
How much will the Output 2 in HCU 3? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 1000.63545, then enter the answer as “1000.6355”]
Your answer:
Read the passage below, then answer Q71–Q73
We are interested in understanding the efficiency of 5 Sales Offices. Each of the Sales Offices has an approved budget and a team size for achieving a fixed target of 10,00,000. As a Business Analyst, you must formulate a DEA problem using Linear programming for the Sales Office 3. Answer the given subquestions using the Table below.
Q71MCQ2 Marks·Choose one option
Asked 3 times Key ↓
What is the objective function?
1. A
2. B
3. C
4. D
5. E
Q72MCQ2 Marks·Choose one option
Asked 3 times Key ↓
What is the type constraint?
1. A
2. B
3. C
4. D
Q73MCQ2 Marks·Choose one option
Asked 3 times Key ↓
Which of them is not a constraint for the LP problem pertaining to Sales Office 3?
1. A
2. B
3. C
4. D
5. E
6. F
Read the passage below, then answer Q74–Q77
You are in the process of selecting an ideal Laptop when a lot of options are available. For example, the three brands that have been on top of your mind are Acer, HP, and Dell. Similarly, there are 2 RAM options available: 8 GB and 16 GB. Lastly, the processor is another important variable in deciding the ideal laptop. There are 3 processors available: i3, i5, and i7. Also, assume that Acer is the least preferred brand. Based on the inputs available, you build a regression model, and the coefficients are given below in Figure 1.
Based on the above data, answer the given subquestions.
Q74NAT2 Marks·Write the number
Asked 2 times Key ↓
What is the part worth to customers if he/she upgrades from an i3 to an i7 processor? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 1000.63545, then enter the answer as “1000.6355”]
Your answer:
Q75NAT2 Marks·Write the number
Asked 6 times Key ↓
How much is the weightage provided by the customer for the Brand? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.63545, then enter the answer as “63.55”]
Your answer:
Q76NAT2 Marks·Write the number
Asked 6 times Key ↓
How much is the weightage provided by the customer for the RAM? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.63545, then enter the answer as “63.55”]
Your answer:
Q77NAT2 Marks·Write the number
Asked 6 times Key ↓
How much is the weightage provided by the customer for the processor? [Note: Enter your answer in decimal rounded to four decimal places. For example, if your answer is 0.63545, then enter the answer as “63.55”]
Your answer:

Quiz 2 · 3 Aug 2025 (AN)Quiz 2

Read the passage below, then answer Q78–Q79
Data on “Urban Population (UP)” of a country and the “GDP” of the same country are collected. The “GDP” is captured as a percentage (that is “10.5%” is captured as “10.5”) and the “UP” is captured in crores of people (that is “1,20,00,000” is captured as “1.2”). From the raw data, the analyst has identified that the relation is non-linear. Hence, the analyst applies a natural logarithmic transformation on both variables (the independent variable is “GDP” and the dependent variable is “UP”). The transformed data is modelled as a Simple Linear Regression and the developed model is presented in Figure-1. Using this information, answer the given subquestions.
Q78NAT1 Mark·Write the number
Key ↓
How many degrees of freedom will be present for the “Regression” term in the ANOVA table (nomenclature as per excel)?
Your answer:
Q79NAT2 Marks·Write the number
Key ↓
If the GDP in 2024 was 15%, then what is the predicted “UP” (in crores of people) based on the SLR model? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer:
Read the passage below, then answer Q80–Q86
Milo’s Bakery is famous for three products “BA Biscuits (BAB)”, “TA Controversy Cake (TACC)” and “Hot Argument Drink (HAD)”. Dr.Milo, the owner of the shop, is an aspiring data analyst. He has collected 5 days of data. On each day, he captures the number of each product made and total kilogram of cooking gas consumed. Using all the collected data, Dr.Milo has built a linear regression model in excel, and the partial regression output is provided in Figure-2. Using this information, answer the given subquestions.
Q80NAT0.5 Marks·Write the number
Key ↓
What is the sample size for building the model in Figure-2?
Your answer:
Q81NAT1 Mark·Write the number
Key ↓
What is the value of Q1?
Your answer:
Q82NAT1 Mark·Write the number
Key ↓
What is the value of Q2? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer:
Q83NAT1.5 Marks·Write the number
Key ↓
What is the value of Q3? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer:
Q84NAT1.5 Marks·Write the number
Key ↓
What is the value of Q4? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer:
Q85NAT2 Marks·Write the number
Key ↓
What is the value of Q5? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer:
Q86MCQ1 Mark·Choose one option
Key ↓
At a 15% significance level, Dr. Milo thinks that the gas consumption at his company is affected by the number of BA, TACC and HAD that are made in a day. Then what do you conclude about Dr. Milo?
1. ADr. Milo is dumb and does not know statistics.
2. BDr. Milo is a genius and he is right.
3. CCannot comment on Dr. Milo’s conclusion without more information
Read the passage below, then answer Q87–Q93
A matrimonial site has built a logistic classification model to predict if a person will get married or not (Married =1 and Not Married =0). The parameters used for this model are Age (in tens of years, that is, the data for a person who is “40 years old” is recorded as “4”) and Height (in feet). The built model’s coefficients are provided in Table-1. The model is being tested using matrimonial profile data available in Table-2.
Given this information, answer the given subquestions
Q87NAT1 Mark·Write the number
Asked 5 times Key ↓
At a threshold of 0.8, how many “True Positives” is the model predicting?
Your answer:
Q88NAT1 Mark·Write the number
Asked 5 times Key ↓
At a threshold of 0.8, how many “True Negatives” is the model predicting?
Your answer:
Q89NAT1 Mark·Write the number
Asked 5 times Key ↓
At a threshold of 0.8, how many “False Positives” is the model predicting?
Your answer:
Q90NAT1 Mark·Write the number
Asked 5 times Key ↓
At a threshold of 0.8, how many “False Negatives” is the model predicting?
Your answer:
Q91NAT1 Mark·Write the number
Asked 5 times Key ↓
At a threshold of 0.8, what is the ACCURACY of the model? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer:
Q92NAT1 Mark·Write the number
Asked 8 times Key ↓
At a threshold of 0.8, what is the PRECISION of the model for predicting the Negative Class? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer:
Q93NAT1 Mark·Write the number
Asked 8 times Key ↓
At a threshold of 0.8, what is the RECALL of the model for predicting the Positive Class? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer:
Read the passage below, then answer Q94–Q95
A demand response curve has a constant price elasticity of +0.6. If the price of the product is 100 and the corresponding demand is 200, then answer the given subquestions.
Q94NAT0.5 Marks·Write the number
Key ↓
What is the value of “Constant” (“C”) for the constant elasticity model? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Q95NAT1 Mark·Write the number
Key ↓
What should be the price to achieve a demand of 300? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:

End Term · 13 Apr 2025 (FN)End Term

Q96MSQ1 Mark·Choose all correct options
Asked 2 times Key ↓
Which of the following distributions is/are not symmetric in nature (choose all that are applicable)?
1. AStandard Normal distribution
2. BStandard Binomial distribution
3. CUniform distribution
4. DPoisson distribution
Q97MSQ1 Mark·Choose all correct options
Key ↓
Which of the following is/are required to build an empirical distribution? (choose all that are applicable)
1. APDF or PMF
2. BSample data
3. CSummary Statistics
4. DNone of these
Q98MSQ1 Mark·Choose all correct options
Asked 4 times Key ↓
Given the Chisquare table in Figure-2, what is the conclusion from the test at a 95% significance level? (choose all that may be applicable)
1. AREJECT the NULL HYPOTHESIS and conclude that the number of defects FOLLOWS a poisson distribution
2. BDO NOT REJECT the NULL HYPOTHESIS and conclude that the number of defects FOLLOWS a poisson distribution
3. CREJECT the NULL HYPOTHESIS and conclude that the number of defects DOES NOT FOLLOW a poisson distribution
4. DDO NOT REJECT the NULL HYPOTHESIS and conclude that the number of defects DOES NOT FOLLOW a poisson distribution
5. EREJECT the ALTERNATIVE HYPOTHESIS and conclude that the number of defects FOLLOWS a poisson distribution
6. FDO NOT REJECT the ALTERNATIVE HYPOTHESIS and conclude that the number of defects FOLLOWS a poisson distribution
7. GREJECT the ALTERNATIVE HYPOTHESIS and conclude that the number of defects DOES NOT FOLLOW a poisson distribution
8. HDO NOT REJECT the ALTERNATIVE HYPOTHESIS and conclude that the number of defects DOES NOT FOLLOW a poisson distribution
Q99MSQ1.5 Marks·Choose all correct options
Asked 2 times Key ↓
If the attribute values in the conjoint analysis is a continuous variable and the data is collected in a pairwise order, then what approach can be used (choose all that is/are applicable)
1. AOptimization approach
2. BRegression approach
3. CStatistical approach
4. DNone of these
Q100MSQ1.5 Marks·Choose all correct options
Key ↓
The part worth can be defined as (choose all that may be applicable)
1. ALevel utilities
2. BThe utility for that level of attribute
3. CUtility for separate parts of the products
4. DNone of these
Q101MCQ1 Mark·Choose one option
Key ↓
In Figure-3 the customer wants to decide between the products O1 & O2, and x denotes the coordinates of the ideal product. Which of the following is/are true?
1. ACustomers will prefer O1 when d2>d1
2. BCustomers will prefer O2 when d1<d2
3. CBoth Customers will prefer O1 when d2>d1 & Customers will prefer O2 when d1<d2
4. DNone of these
Q102MSQ2 Marks·Choose all correct options
Key ↓
There are 7 business units and you are using the DEA to compare them. You solve the LP for business unit 5. You find from the constraint expression that business unit 1 has obtained an efficiency of 1 and business unit 2 has obtained an efficiency of 1 with the optimal weights of business unit 5. Which of the following statements is correct? (choose all that is/are applicable)
1. ABusiness unit 5 is inefficient
2. BBusiness unit 1 is efficient
3. CBusiness unit 5 is efficient
4. DBusiness unit 2 is efficient
Q103MSQ2 Marks·Choose all correct options
Key ↓
In DEA, when can the Linear Programming model be used for calculating the weights of efficiency (weighted outputs/weighted inputs)? (choose all that is/are applicable)
1. AAfter converting the ratio into the linear objective function
2. BAfter normalizing the denominator
3. CBy setting a constraint on the efficiency of all DMUs to be lesser than or equal to 1
4. DNone of these
Read the passage below, then answer Q104–Q108
(The following is a purely imaginary scenario)
A demand response curve is modelled using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the subquestions.
Q104NAT1.5 Marks·Write the number
Asked 2 times Key ↓
What is the elasticity of the demand response curve at a price of Rs. 50? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Q105NAT0.5 Marks·Write the number
Asked 2 times Key ↓
What is the market size? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Q106NAT0.5 Marks·Write the number
Asked 2 times Key ↓
What is the satiating price? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Q107MCQ0.5 Marks·Choose one option
Key ↓
Based on the elasticity, which of the following statements are TRUE
1. AThe demand is elastic
2. BThe demand is inelastic
3. CThe price is elastic
4. DThe price is inelastic
Q108NAT1 Mark·Write the number
Key ↓
What percentage of the total linear variability in demand is captured by this model (given in figure-1)? (Note: Enter the answer in “percentage rounded to two decimal places without the percentage sign. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer:
Read the passage below, then answer Q109–Q111
(The following is a purely imaginary scenario)
A survey was conducted among 100 students who participated in all events at IITMs recent “Saarang” event. The students were asked to rate various aspects of their experience on a scale of “-5 to +5”, where “-5” indicates a very negative experience and “+5” indicates a very positive experience. The average student rating for each event was taken across four key parameters: “Event Ambience”, “Fairness of Event Judges”, “Event Conduct”, “Event Prize Money”. The target variable was “Event Performance” which measures the overall performance of each event. Based on the collected data, a correlation matrix as specified in Table-2 is obtained for the independent variables. With this information, answer the given sub-questions
Q109NAT1 Mark·Write the number
Asked 2 times Key ↓
What would be the R-Square value if a model is built with “Event Conduct” as the independent variable and “Event Prize Money” as the dependent variable? (Note: Enter the answer in percentage rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer:
Q110NAT1 Mark·Write the number
Asked 2 times Key ↓
What would be the Adjusted R-Square value if a model is built between “Fairness of Event Judges” as the independent variable and “Event Ambience” as the dependent variable? (Note: Enter the answer in percentage rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer:
Q111NAT2 Marks·Write the number
Asked 3 times Key ↓
What will be the percentage increase in the standard error corresponding to the beta value of “Event Ambience”, if a multiple linear regression model where both “Event Ambience” and “Event Price Money” are used as explanatory variables to predict “Event Performance”? (Note: Enter the answer in percentage rounded to two decimal places. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer:
Read the passage below, then answer Q112–Q113
There are six business units. There are two outputs and one input under consideration. You are solving the optimization problem for business unit 3, and you find that the efficiency is 0.8. You see that the dual variables corresponding to the constraints of business units 2 and 5 are non- zero, and the dual variables corresponding to the constraints of other units are zero. The dual variables corresponding to the constraints of business units 2 and 5 are 0.5 and 0.3, respectively. Based on Table 6, answers the given sub-questions
Q112NAT2 Marks·Write the number
Asked 8 times Key ↓
How much will the Output 1 in HCU 3?
Your answer:
Q113NAT2 Marks·Write the number
Asked 8 times Key ↓
How much will the Output 2 in HCU 3?
Your answer:
Read the passage below, then answer Q114–Q116
(The following is a purely imaginary scenario)
Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects per ship follows a Poisson distribution. Accordingly, she collected data for the past month indicating the number of defects produced in a shift. This is provided in Table-1. Using this information answer the given sub-questions
Q114NAT1 Mark·Write the number
Key ↓
How many bins will be present in the frequency table for the statistical test to be conducted? (Note: Enter an INTEGER answer)
Your answer:
Q115NAT3 Marks·Write the number
Asked 4 times Key ↓
What is the value of the computed test statistic for the statistical test that is to be performed by Ms. Teddy to very her claim? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Q116NAT1 Mark·Write the number
Asked 5 times Key ↓
How many degrees of freedom is present for the test statistic that is to be conducted by Ms. Teddy? (Note: Enter an INTEGER answer)
Your answer:
Read the passage below, then answer Q117–Q118
(The following is a purely imaginary scenario)
The relationship between Demand “D” and Selling Price “P” is given by the equation D(p) = 780 – 9*P. Then answer the given sub-questions.
Q117NAT2 Marks·Write the number
Key ↓
If the intention is to maximize the profit, then what is the optimal selling price if the item is going to be made at Rs. 30 per unit? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Q118NAT1 Mark·Write the number
Key ↓
What is the maximum profit that can be generated? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Read the passage below, then answer Q119–Q121
As a Business Analyst, we are trying to find the DMUs that are efficient, where there are 2 outputs (Number of Leads & Sales) and one constant input. Based on the graph given in Figure-4 below, answer the given sub-questions
Q119MCQ1 Mark·Choose one option
Asked 2 times Key ↓
Which DMUs are in the economic frontier?
1. A(3,2,1)
2. B(3,2,5)
3. C(4,5,2)
4. D(3,4,1)
Q120MCQ1 Mark·Choose one option
Asked 4 times Key ↓
Which DMUs are the reference units for DMU 2?
1. A(5,4)
2. B(4,1)
3. C(3,5)
4. D(3,1)
Q121MCQ1 Mark·Choose one option
Asked 4 times Key ↓
Which DMUs are the reference units for DMU 5?
1. A(1,4)
2. B(1,3)
3. C(3,4)
4. DNone of these
Read the passage below, then answer Q122–Q123
(The following is a purely imaginary scenario)
An insurance company believes that people can be divided into two classes: “Class-1: Those who are accident prone” and “Class-2: Those who are not accident prone”. The company’s statistics show that an accident-prone person will have an accident at sometime within a faxed 1-year period with probability 0.4, whereas this probability decreases to 0.2 for a person who is not accident prone. It is assumed that 30 percent of the human population is accident prone. Given this information, answer the sub-questions
Q122NAT1 Mark·Write the number
Asked 2 times Key ↓
What is the probability that a new policyholder will have an accident within a year of purchasing a policy? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Q123NAT1 Mark·Write the number
Asked 3 times Key ↓
Suppose a new policyholder has an accident within a year of purchasing a policy. Then, what is the probability that the person is accident prone? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:
Read the passage below, then answer Q124–Q128
A fintech company wants to assess the performance of its classification model, which predicts loan approval (positive class) or rejection (negative class). Table 3 presents the data used for model development, while Table 4 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 5.
Based on the provided data, answer the given sub-questions
Q124NAT2 Marks·Write the number
Asked 8 times Key ↓
What is the precision of class 1? (Note: Enter the answer in percentage rounded to two decimal places. For example, if the answer is “10.235%”, then enter it as “10.24”)
Your answer:
Q125NAT2 Marks·Write the number
Asked 8 times Key ↓
What is the sensitivity of the model? (Note: Enter the answer in percentage rounded to two decimal places. For example, if the answer is “10.235%”, then enter it as “10.24”)
Your answer:
Q126NAT2 Marks·Write the number
Asked 8 times Key ↓
What is the specificity of the model? (Note: Enter the answer in percentage rounded to two decimal places. For example, if the answer is “10.235%”, then enter it as “10.24”)
Your answer:
Q127MSQ1.5 Marks·Choose all correct options
Asked 6 times Key ↓
What is the correct interpretation of the coefficient b1? (Choose that is/are applicable)
1. AIf the salary increases by 1 unit, the log of odds of the application acceptance increases by 0.04.
2. BIf the salary increases by 1 unit, the odds of the application getting accepted increase by 4% (e^(0.4) = 1.04)
3. CNone of these
Q128MSQ1.5 Marks·Choose all correct options
Asked 6 times Key ↓
What is the correct interpretation of the coefficient b2? (Choose that is/are applicable)
1. AIf the age increases by 1 unit, the log of odds of the application acceptance decreases by 0.03.
2. BIf the age increases by 1 unit, the odds of the application getting accepted decrease by 3% (e^(-0.03) = 0.97).
3. CNone of these

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q1A

Q2A, B, C

Q30.25 to 0.27

Q40.44 to 0.48

Q51400

Q650

Q7200

Q82.3 to 2.4

Q90.16 to 0.18

Q101

Q1113.2 to 13.9

Q125

Q13197 to 199

Q1431.5 to 33.5

Q154

Q164

Q172

Q1878125

Q190

Q20A

Q213900 to 3904

Q2211 to 11.5

Q23B, D

Q24B, D

Q25C

Q26C

Q271.3 to 1.5

Q28A

Q292

Q305.2 to 5.5

Q31A

Q3257.1 to 57.2

Q3366.65 to 66.71

Q3450

Q3550

Q3666.65 to 66.71

Q37A, B, C

Q38A, B, C

Q396915 to 6918

Q4027.5 to 27.9

Q41C

Q42A

Q43F

Q441.832 to 1.834

Q4520.35 to 20.39

Q4625.9 to 25.96

Q4753.65 to 53.75

Q48A, B, C, D

Q4920

Q5050 to 52

Q5187 to 89

Q5264 to 66

Q531.6 to 1.9

Q541

Q5518 to 19

Q56A

Q5718 to 21

Q58-0.14 to -0.12

Q5911 to 12

Q603

Q614

Q621

Q63-1238000 or 1238000

Q64A, D, E

Q65A, B, C

Q66A, B, C

Q67B

Q68A

Q697874 to 7876

Q7017.1 to 17.3

Q71C

Q72A

Q73F

Q744.82 to 4.84

Q7520.35 to 20.39

Q7625.9 to 25.96

Q7753.65 to 53.75

Q781

Q7944 to 46

Q805

Q811

Q821490 to 1496

Q8311.1 to 11.4

Q841503 to 1508

Q8543 to 45

Q86A

Q872

Q881

Q891

Q901

Q9160

Q9250

Q9366 to 67

Q943169 to 3170

Q9550 to 60

Q96D

Q97A, B, C

Q98C

Q99A

Q100A, B, C

Q101A

Q102B, D

Q103A, B, C

Q1040.02 to 0.05

Q10539942

Q1061352 to 1355

Q107B

Q10898 to 99

Q10925 to 27

Q11015 to 16

Q11118 to 20

Q1128061 to 8064

Q11310.5 to 11

Q1146

Q115589 to 592

Q1164

Q11758 to 59

Q11820424 to 20425

Q119D

Q120B

Q121C

Q1220.25 to 0.27

Q1230.44 to 0.48

Q12433.32 to 33.34

Q12549.95 to 50.05

Q12649.95 to 50.05

Q127A, B

Q128A, B

Detailed Answer Notes & Working

Q63Answer: -1238000 or 1238000: Official answer key accepts -1238000 or 1238000.

Questions and answer keys are reproduced from the official IIT Madras BS papers. BTechi is not affiliated with IIT Madras.