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Which of the following terms will replace the question mark (?) in the given series to make it logically complete? PU16 QV18 RW22 SX28?
TZ36
TZ37
TY36
TY37
TY36
Observe the first and second letters individually with +1 progression, then identify the growing difference in the numeric series (+2, +4, +6, +8).
Observe the first and second letters individually with +1 progression, then identify the growing difference in the numeric series (+2, +4, +6, +8).
Analyze Letter Patterns
First letters: P(16), Q(17), R(18), S(19) тЖТ Next is T(20). Second letters: U(21), V(22), W(23), X(24) тЖТ Next is Y(25). Thus, the letter pair is TY.
Analyze Numeric Patterns
The numbers follow a sequence of increasing differences: 16 to 18 (+2), 18 to 22 (+4), 22 to 28 (+6). The next difference must be +8. So, 28 + 8 = 36.
Final Synthesis
Combining the letter pattern (TY) and the numeric pattern (36), the resulting term is TY36.
A: TZ36 is incorrect because the second letter must be Y, not Z. B: TZ37 is incorrect because both the second letter and the number are wrong. D: TY37 is incorrect because the number calculation 28 + 9 = 37 does not follow the (+2, +4, +6, +8) progression.
C is correct because the series follows a consistent pattern of +1 for each letter and an increasing even number sequence (+2, +4, +6, +8) for the digits, resulting in TY36.
When encountering alphanumeric series, always split the problem into three independent sub-problems (First letter, Second letter, and Numbers) to simplify the analysis.