Principal Component Analysis is performed on a 4-band IRS satellite image. The eigenvalues \( \mathbf{E} = [\lambda_{1,1}, \lambda_{2,2}, \lambda_{3,3}, \lambda_{4,4}] \) computed from the covariance matrix are 887.60, 75.20, 37.60 and 6.73, respectively. The percentage of total variance explained by the third principal component (\( \lambda_{3,3} \)) is_______________(rounded off to 2 decimal places).}
The histogram of a red band in a 3-bit satellite image is shown below. Which of the following statements is/are correct?

For the correlation matrix of a 4-band satellite image as shown below, which of the following statements is/are correct?
| Band 1 | Band 2 | Band 3 | Band 4 | |
| Band 1 | 1 | 0.95 | 0.36 | 0.92 |
| Band 2 | 0.95 | 1 | 0.40 | 0.93 |
| Band 3 | 0.36 | 0.40 | 1 | 0.42 |
| Band 4 | 0.92 | 0.93 | 0.42 | 1 |
Principal Component Analysis is performed on a 4-band IRS satellite image. The eigenvalues \( \mathbf{E} = [\lambda_{1,1}, \lambda_{2,2}, \lambda_{3,3}, \lambda_{4,4}] \) computed from the covariance matrix are 887.60, 75.20, 37.60 and 6.73, respectively. The percentage of total variance explained by the third principal component (\( \lambda_{3,3} \)) is __________ (rounded off to 2 decimal places).
Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Abuse \( \rightarrow \) Insult \( \rightarrow \) Ridicule
__________ \( \rightarrow \) Praise \( \rightarrow \) Appreciate
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the 1st round, the 4th student behind P leaves the game.
After the 2nd round, the 5th student behind Q leaves the game.
After the 3rd round, the 3rd student behind V leaves the game.
After the 4th round, the 4th student behind U leaves the game.
Who all are left in the game after the 4th round?

The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:

The 12 musical notes are given as \( C, C^\#, D, D^\#, E, F, F^\#, G, G^\#, A, A^\#, B \). Frequency of each note is \( \sqrt[12]{2} \) times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is: