Discussion
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?
| N | U | F | (i) |
| 21 | 14 | 9 | 6 |
| H | L | (ii) | O |
| 12 | (iv) | 15 | (iii) |
(The figure draws heavy borders dividing this grid into four 2 × 2 blocks.)
Answer: C
The entries are I, J, 10, and 8.
Read each 2 × 2 block as two letters above two numbers, with letters standing for their alphabet positions (A = 1, ..., Z = 26). In every block the left number is the left letter's position plus a fixed step, and the right number is the right letter's position minus the same step:
- Top left: N = 14 and 14 + 7 = 21; U = 21 and 21 - 7 = 14.
- Top right: F = 6 and 6 + 3 = 9; so (i) must be the letter whose position minus 3 is 6, which is 9 = I.
- Bottom left: H = 8 and 8 + 4 = 12; L = 12, so (iv) = 12 - 4 = 8.
- Bottom right: (ii) + 5 = 15 gives 10 = J; O = 15, so (iii) = 15 - 5 = 10.
Only I (9) satisfies the top-right block, since 9 - 3 = 6; Q (17), K (11) and L (12) all fail it, which rules out the other three options at the first entry.
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