Discussion
For the clock shown in the figure, if
O* = O Q S Z P R T, and
X* = X Z P W Y O Q,
then which one among the given options is most appropriate for P*?
[The clock face carries twelve letters in place of the hours, clockwise from the 12 o’clock position: O, P, Q, R, S, T, U, V, W, X, Y, Z.]
Answer: B
P* is P R T O Q S U.
Number the letters by their positions round the clock: O 0, P 1, Q 2, R 3, S 4, T 5, U 6, V 7, W 8, X 9, Y 10, Z 11.
- O* = O Q S Z P R T is positions 0, 2, 4, 11, 1, 3, 5.
- X* = X Z P W Y O Q is positions 9, 11, 1, 8, 10, 0, 2.
Both follow one rule: start at the letter, take the next two by steps of two, then go back one place from the start and again take three letters by steps of two. In offsets from the start: 0, +2, +4, -1, +1, +3, +5.
For P (position 1) this gives 1, 3, 5, 0, 2, 4, 6: P R T O Q S U. The other options do not keep the offsets: P U W ... starts with a step of five, and P S U ... with a step of three.
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