Question

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? \[ \begin{array}{|c|c|c|c|} \hline N & U & F & (i) \\ 21 & 14 & 9 & 6 \\ \hline H & L & (ii) & O \\ 12 & (iv) & 15 & (iii) \\ \hline \end{array} \]

• A. Q, M, 12, and 8
• B. K, L, 10, and 14
• C. I, J, 10, and 8
• D. L, K, 12, and 8

Hint:

In such alphabet-number puzzles, always check if the numbers correspond to alphabet positions and look for a swapping or pairing rule.

Answer 1

The Correct Option is C

Step 1: Observe the pattern in the first row.
The first row has letters: \(N, U, F, (i)\) and numbers: \(21, 14, 9, 6\). Each number represents the position of the corresponding letter in the English alphabet: - \(N = 14\), but shown as \(21\). - \(U = 21\), but shown as \(14\). - \(F = 6\), shown as \(9\). - So, \((i)\) must be a letter whose position is \(6\) shown as \(?\). From the sequence, we notice they are swapping the alphabet position with another in the same row. \(N(14)\) - \(U(21)\). Similarly, \(F(6)\) - ?(9). So the missing letter is the one with position \(9\), which is \(\boxed{I}\). Thus, \((i) = I\).

Step 2: Analyze the second row letters.
We have \(H, L, (ii), O\) and numbers \(12, (iv), 15, (iii)\). Check mapping: - \(H = 8\), but the number below is \(12\). - \(L = 12\), number missing \((iv)\). - \(O = 15\), number below is \((iii)\). So the rule seems: swap alphabet positions in pairs again. - For \(H(8)\), the number \(12\) belongs to \(L\). - For \(L(12)\), the number should be \(8\) (belongs to \(H\)). So \((iv) = 8\). Similarly, for \(O(15)\), the number should swap with the missing letter \((ii)\). Thus, \((ii)\) must be the letter with alphabet position \(10\), i.e., \(\boxed{J}\). And so, \((iii) = 15\) swaps with \(J\)'s actual position number → \(10\).

Step 3: Final values.
\[ (i) = I, (ii) = J, (iii) = 10, (iv) = 8 \] Final Answer:
\[ \boxed{I, J, 10, \text{ and } 8} \]