Target Exam

CUET

Subject

General Aptitude Test

Chapter

Verbal Reasoning

Topic

Series & Missing Terms

Question:

Find the next term in the following alphanumeric series:

C12W, D200, G30I, L42E, ?

Options:

R56B

S56C

R58C

S58B

Correct Answer:

S56C

Explanation:

The correct answer is Option (2) → S56C

1. Pattern of the First Letter

  • C (3) $\rightarrow$ D (4) : $+1$
  • D (4) $\rightarrow$ G (7) : $+3$
  • G (7) $\rightarrow$ L (12) : $+5$
  • Following the sequence of odd numbers ($+1, +3, +5$), the next increment should be $+7$.
  • L (12) $+ 7 = 19$, which corresponds to the letter S.

2. Pattern of the Middle Number

The numbers follow a pattern based on the multiplication of consecutive integers:

  • $3 \times 4 = \mathbf{12}$
  • $4 \times 5 = \mathbf{20}$
  • $5 \times 6 = \mathbf{30}$
  • $6 \times 7 = \mathbf{42}$
  • The next calculation is $7 \times 8 = \mathbf{56}$.

3. Pattern of the Last Letter

Looking at the letters W, O, I, E, they represent specific vowels or a reverse sequence. However, a simpler pattern is the subtraction of positions in the alphabet:

  • W (23) $\rightarrow$ O (15) : $-8$
  • O (15) $\rightarrow$ I (9) : $-6$
  • I (9) $\rightarrow$ E (5) : $-4$
  • Following the sequence ($-8, -6, -4$), the next increment should be $-2$.
  • E (5) $- 2 = 3$, which corresponds to the letter C.

Summary of the Next Term

  • First Letter: S
  • Number: 56
  • Last Letter: C

Final Answer: The next term is S56C.