In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively?

We analyze the logic based on letter-number patterns. Let's look at the structure row-wise:
Top Row:
N (14), U (21), F (6), (i) = ?
Bottom Row:
H (8), L (12), O (15), (?) = ?
Now map letters to positions in the alphabet: \[ N = 14, \quad U = 21, \quad F = 6, \quad H = 8, \quad L = 12, \quad O = 15 \] Compare these with the numbers in the second row: \[ 21 \leftrightarrow N = 14 \Rightarrow 14 + 7 = 21 \] \[ 14 \leftrightarrow U = 21 \Rightarrow 21 - 7 = 14 \] \[ 9 \leftrightarrow F = 6 \Rightarrow 6 + 3 = 9 \] \[ 6 \leftrightarrow (i) = ? \Rightarrow \text{To balance pattern} \Rightarrow (i) = L (12) \Rightarrow 12 - 6 = 6 \quad \checkmark \]
Now the second row: \[ H = 8, \quad 12 \Rightarrow 8 + 4 = 12 \] (iv) = 8 ✔️ \[ L = 12, \quad (ii) = ? \Rightarrow 12 + 3 = 15 \Rightarrow (ii) = K (11) ✔️ \] \[ (iii) = 12 \Rightarrow O = 15 \Rightarrow 15 - 3 = 12 ✔️ \] So the correct set is: \[ (i) = L, \quad (ii) = K, \quad (iii) = 12, \quad (iv) = 8 \] Thus, the correct option is (D).
Shown below is an arrangement of closely stacked spheres. Assume each one to be in contact with its immediate neighbour. What is the total number of points where the spheres touch each other?
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?

Shown on the left is a set of equations. Which option belongs to the same set? 
Consider a reinforced concrete beam section of 350 mm width and 600 mm depth. The beam is reinforced with the tension steel of 800 mm\(^2\) area at an effective cover of 40 mm. Consider M20 concrete and Fe415 steel. Let the stress block considered for concrete in IS 456:2000 be replaced by an equivalent rectangular stress block, with no change in (a) the area of the stress block, (b) the design strength of concrete (at the strain of 0.0035), and (c) the location of neutral axis at flexural collapse.
The ultimate moment of resistance of the beam (in kN.m) is ___________ (round off to the nearest integer).
Two soils of permeabilities \( k_1 \) and \( k_2 \) are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, \( L_1 = 50 \, {cm} \), and \( k_1 = 0.055 \, {cm/s} \); for Soil 2, \( L_2 = 30 \, {cm} \), and \( k_2 = 0.035 \, {cm/s} \). The cross-sectional area of the horizontal pipe is 100 cm², and the head difference (\( \Delta h \)) is 150 cm. The discharge (in cm³/s) through the soils is ........ (rounded off to 2 decimal places).

The most suitable test for measuring the permeability of clayey soils in the laboratory is ___________.
Consider the beam ACDEB given in the figure. Which of the following statements is/are correct:
