Target Exam

CUET

Subject

General Aptitude Test

Chapter

Verbal Reasoning

Topic

Series & Missing Terms

Question:

Choose the missing term in the following alphanumeric series from the given alternatives:

2A11, 4D13, 12G17, ?, 240M31

Options:

36I19

36J21

48J21

48J23

Correct Answer:

48J23

Explanation:

The correct answer is Option (4) → 48J23

1. The Prefix Number Pattern

Look at the first numbers in each term: 2, 4, 12, ?, 240.

  • $2 \times 2 = 4$
  • $4 \times 3 = 12$
  • $12 \times 4 = \mathbf{48}$
  • $48 \times 5 = 240$

The prefix number is multiplied by an increasing integer ($2, 3, 4, 5$). Thus, the missing prefix is 48.

2. The Middle Letter Pattern

Look at the letters: A, D, G, ?, M. Let's look at their positions in the alphabet:

  • A = 1st letter
  • D = 4th letter (A + 3)
  • G = 7th letter (D + 3)
  • ? = 10th letter (G + 3) $\rightarrow$ J
  • M = 13th letter (J + 3)

The pattern is to move forward by 3 letters each time. The missing letter is J.

3. The Suffix Number Pattern

Look at the ending numbers: 11, 13, 17, ?, 31.

These are consecutive Prime Numbers, skipping one prime number in between:

  • 11 (Next prime is 13)
  • 13 (Next prime is 17)
  • 17 (Next prime is 19, then 23)
  • 23 (Next prime is 29, then 31)

Alternatively, look at the gaps:

  • $11 + 2 = 13$
  • $13 + 4 = 17$
  • $17 + 6 = \mathbf{23}$
  • $23 + 8 = 31$

The suffix number increases by consecutive even numbers ($+2, +4, +6, +8$). The missing suffix is 23.

Conclusion

Combining the components (48, J, 23), we get the term 48J23