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).
An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of \( \frac{2\pi}{n} \), is identical to the original.
Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays the color codes that are consistent with the color model?
In levelling between two points A and B on the opposite banks of a river, the readings are taken by setting the instrument both at A and B, as shown in the table. If the RL of A is 150.000 m, the RL of B (in m) is ....... (rounded off to 3 decimal places).
A one-way, single lane road has traffic that consists of 30% trucks and 70% cars. The speed of trucks (in km/h) is a uniform random variable on the interval (30, 60), and the speed of cars (in km/h) is a uniform random variable on the interval (40, 80). The speed limit on the road is 50 km/h. The percentage of vehicles that exceed the speed limit is ........ (rounded off to 1 decimal place).