Find next term of the letter series A, CD, GHI, UVWXY, ______.
Options
AMNOP
BMNO
CMNOPQ
DNOPQ
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Number Series, Coding, Odd Man OutMTP June 22Question 2061 of 217
All Questions Correct Answer
✅ Option a — MNOP
All Options:
- AMNOP
- BMNO
- CMNOPQ
- DNOPQ
Detailed Solution & Explanation
To find the next term of the letter series A, CD, GHI, UVWXY, ______ (where the blank is the 4th term):
Let us analyze the number of letters in each term and the number of skipped letters between them:
1. **Length of each term:**
- 1st term (): 1 letter
- 2nd term (): 2 letters
- 3rd term (): 3 letters
- 4th term (missing): should have 4 letters
- 5th term (): has 5 letters
Thus, the missing term must have exactly **4 letters**.
2. **Number of letters skipped between consecutive terms:**
- Between 1st and 2nd term (): We skip letter ().
- Between 2nd and 3rd term (): We skip letters ().
- Between 3rd and 4th term (): We must skip letters (). Starting after , the next letter is . Since it must contain 4 letters, the term is .
- Between 4th and 5th term (): We skip letters (), which perfectly leads to the start of at .
This logical framework proves that the missing term is **MNOP** (4 letters), which corresponds to **Option A**.
*Note on Answer Key Discrepancy:* The textbook answer key lists **Option C** () as correct. However, contains 5 letters, which violates the length progression (1, 2, 3, 4, 5) and leaves no letters to skip before (since is included, the next letters would only be 3 skipped letters instead of the required 4). Thus, the answer key's selection of Option C is a typographical error, and the correct logical answer is indeed **Option A**.
Hence, **Option A** is the correct answer.
Let us analyze the number of letters in each term and the number of skipped letters between them:
1. **Length of each term:**
- 1st term (): 1 letter
- 2nd term (): 2 letters
- 3rd term (): 3 letters
- 4th term (missing): should have 4 letters
- 5th term (): has 5 letters
Thus, the missing term must have exactly **4 letters**.
2. **Number of letters skipped between consecutive terms:**
- Between 1st and 2nd term (): We skip letter ().
- Between 2nd and 3rd term (): We skip letters ().
- Between 3rd and 4th term (): We must skip letters (). Starting after , the next letter is . Since it must contain 4 letters, the term is .
- Between 4th and 5th term (): We skip letters (), which perfectly leads to the start of at .
This logical framework proves that the missing term is **MNOP** (4 letters), which corresponds to **Option A**.
*Note on Answer Key Discrepancy:* The textbook answer key lists **Option C** () as correct. However, contains 5 letters, which violates the length progression (1, 2, 3, 4, 5) and leaves no letters to skip before (since is included, the next letters would only be 3 skipped letters instead of the required 4). Thus, the answer key's selection of Option C is a typographical error, and the correct logical answer is indeed **Option A**.
Hence, **Option A** is the correct answer.
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