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IIT M DIPLOMA QUIZ2 EXAM QPG1 10 July 2022 IBA - 10 Jul 2022
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- Yes
- No
- positive definite
- positive semi-definite
- negative definite
- negative semi-definite
Which of the following statements are correct?
- Every positive definite matrix is invertible.
- A diagonal matrix with positive entries is positive definite.
- A symmetric with positive determinant is not necessarily positive definite.
- If matrix S is positive definite then S−1 may also be positive definite.
We need to find the cheapest cylindrical container to hold 1000m3 of water. The cost of top and bottom circular base is twice that of material used for side of cylinder. Suppose if 1m2 area of side cost 1000 rupees. Top and bottom base costs 2000 rupees each, then what is the value of radius of cylinder such that we get minimum cost?
Comprehension passage - the questions below it refer to this
Answer key
- Q1 (MCQ, 0 marks): A
- Q2 (MCQ, 3 marks): A
- Q3 (MCQ, 4 marks): A
- Q4 (MSQ, 4 marks): A, B, C
- Q5 (MSQ, 4 marks): A, C
- Q6 (MSQ, 4 marks): A, C, E
- Q7 (MSQ, 4 marks): A, B, C, D
- Q8 (SA, 4 marks): 9
- Q9 (SA, 4 marks): 7.5 to 8.5
- Q10 (SA, 4 marks): 0.4 to 0.6
- Q11 (SA, 4 marks): 3.1 to 3.8
- Q12 (SA, 3 marks): 3
- Q13 (SA, 4 marks): 1.3 to 1.5
- Q14 (SA, 4 marks): 0