ML Study Hub

Home / Past papers / MLF End Term / this paper

IIT M FOUNDATION DIPLOMA ENDTERM QPB2 07 Aug 2022 - 07 Aug 2022

MLF End Term22 questions50 marks12 SA · 8 MCQ · 2 MSQFoundation / Diploma / QPB2
Elapsed 00:00
Q1MCQ0 marks
question figure
  1. Yes
  2. No
Q2SA2 marks
Suppose that eigenvalues of matrix A are 1, 0.5, 0.25. The determinant of (A−1)T is NOTE: Enter your answer to the nearest integer.
Q3SA2 marks
NOTE: Enter your answer to the nearest integer. question figure
Comprehension passage - the questions below it refer to this
Based on the above data, answer the given subquestions. question figure
Q4SA1 mark
Compute the equation of the function’s linear approximation at point (2,3). If the equation of the linear approximation is L = ax + by + c, then provide the value of a. NOTE: Enter your answer to the nearest integer.
Q5SA1 mark
Compute the equation of the function’s linear approximation at point (2,3). If the equation of the linear approximation is L = ax + by + c, then provide the value of b. NOTE: Enter your answer upto two decimal.
Q6SA1 mark
Compute the equation of the function’s linear approximation at point (2,3). If the equation of the linear approximation is L = ax + by + c, then provide the value of c. NOTE: Enter your answer upto two decimal.
Comprehension passage - the questions below it refer to this
Based on the above data, answer the given subquestions. question figure
Q7SA1 mark
Calculate the value of a NOTE: Enter your answer upto two decimal.
Q8SA2 marks
NOTE: Enter your answer upto two decimal. question figure
Q9MCQ3 marks
If two complex vectors v1 and v2 have lengths l1 and l2 and v1.v2 = l1l2, then which of the following statements is/are true?
  1. v1 and v2 vectors are parallel to each other.
  2. v1 and v2 vectors are conjugate to each other.
  3. v1 and v2 vectors are perpendicular to each other.
  4. v1 and v2 can be any two vectors.
Q10MCQ3 marks
question figure
  1. question figure
  2. question figure
  3. question figure
  4. question figure
  5. question figure
Q11MCQ3 marks
question figure
  1. question figure
  2. question figure
  3. question figure
  4. question figure
Q12MCQ2 marks
question figure
  1. positive definite
  2. positive semi-definite
  3. negative definite
  4. negative semi-definite
  5. None of these
Q13MSQ3 marksselect all that apply
question figure
  1. question figure
  2. question figure
  3. question figure
  4. question figure
Comprehension passage - the questions below it refer to this
A manufacturing company makes two types of television sets; one is smart led and the other is normal led. The company has resources to make at most 300 sets a week. It takes Rs 1800 to make a smart led set and Rs 2700 to make a normal led set. The company can spend not more than Rs 648000 a week to make television sets. If it makes a profit of Rs 510 per smart led and Rs 675 per normal led. Based on the above data, answer the given subquestions.
Q14MCQ2 marks
The objective function to maximise the profit for the given problem is
  1. 510x + 675y
  2. 410x + 675y
  3. 510x + 575y
  4. 102x + 135y
Q15MSQ3 marksselect all that apply
The constraints for the given problem is
  1. x + y ≤ 300
  2. 2x + 3y ≤ 720
  3. x + 3y ≤ 120
  4. x ≥ 0, y ≥ 0
Q16SA3 marks
NOTE: Enter your answer to the nearest integer. question figure
Q17SA3 marks
NOTE: Enter your answer in one decimal place. question figure
Q18SA3 marks
NOTE: Enter your answer to the nearest integer. question figure
Q19SA3 marks
NOTE: Enter your answer upto one decimal. question figure
Q20SA3 marks
NOTE: Enter your answer upto two decimal question figure
Comprehension passage - the questions below it refer to this
Based on the above data, answer the given subquestions. question figure
Q21MCQ3 marks
question figure
  1. question figure
  2. question figure
  3. question figure
  4. question figure
Q22MCQ3 marks
question figure
  1. question figure
  2. question figure
  3. question figure
  4. question figure

Answer key

  1. Q1 (MCQ, 0 marks): A
  2. Q2 (SA, 2 marks): 8
  3. Q3 (SA, 2 marks): 45
  4. Q4 (SA, 1 marks): -2
  5. Q5 (SA, 1 marks): -0.8 to -0.7
  6. Q6 (SA, 1 marks): 10.0 to 10.5
  7. Q7 (SA, 1 marks): 0.23 to 0.27
  8. Q8 (SA, 2 marks): 0.42 to 0.48
  9. Q9 (MCQ, 3 marks): A
  10. Q10 (MCQ, 3 marks): D
  11. Q11 (MCQ, 3 marks): B
  12. Q12 (MCQ, 2 marks): A
  13. Q13 (MSQ, 3 marks): A, B, C
  14. Q14 (MCQ, 2 marks): A
  15. Q15 (MSQ, 3 marks): A, B, D
  16. Q16 (SA, 3 marks): 4
  17. Q17 (SA, 3 marks): 3.5 to 4.0
  18. Q18 (SA, 3 marks): 5 to 7
  19. Q19 (SA, 3 marks): 7.1 to 7.7
  20. Q20 (SA, 3 marks): 0.23 to 0.27
  21. Q21 (MCQ, 3 marks): A
  22. Q22 (MCQ, 3 marks): A