Target Exam

CUET

Subject

General Aptitude Test

Chapter

Logical and Analytical Reasoning

Topic

Missing Term

Question:

Find the next term in the alpha-numeric series:

Z3A, W7E, T151, Q31M, N63Q, ?

Options:

L126V

K127U

M189U

N127U

Correct Answer:

K127U

Explanation:

The correct answer is Option (2) → K127U

Given alpha-numeric series:

Z3A, W7E, T15I, Q31M, N63Q, ?

Alphabetic pattern (first letter):

Z → W → T → Q → N → ... (decreasing by 3 letters each time)

Position of Z = 26, then 23 (W), 20 (T), 17 (Q), 14 (N), so next = 11 → K

Numeric pattern (middle number):

3, 7, 15, 31, 63 → each is of the form $2^n - 1$

  • $2^2 - 1 = 3$
  • $2^3 - 1 = 7$
  • $2^4 - 1 = 15$
  • $2^5 - 1 = 31$
  • $2^6 - 1 = 63$
  • next = $2^7 - 1 = 127$

Alphabetic pattern (last letter):

A (65), E (69), I (73), M (77), Q (81) → ASCII increases by 4 each time

Next = 85 → U

Answer: K127U