Options
A33
B30
C24
D21
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Number Series, Coding, Odd Man OutMTP May 18Question 2039 of 217
All Questions Correct Answer
✅ Option b — 30
All Options:
- A33
- B30
- C24
- D21
Detailed Solution & Explanation
We are given the series:
Let's analyze the mathematical pattern in two ways:
**Method 1 (Alternating Operations):**
Let's check the operations between consecutive terms:
-
-
-
The operations alternate between and . Following this alternating pattern, the next operations should be , and then :
- Missing term:
- Next term:
- Next term:
This fits the rest of the series perfectly!
**Method 2 (Alternating Sequences):**
Let's split the series into two interleaved sequences:
- **Odd-positioned terms (1st, 3rd, 5th, 7th):** . This is an arithmetic progression with a common difference of (). The missing term is .
- **Even-positioned terms (2nd, 4th, 6th):** . This is an arithmetic progression with a common difference of ().
Both methods prove that the mathematically correct missing number is (Option C).
**Discrepancy Note:**
The textbook's answer key contains a typographical error, incorrectly marking Option B (30) as the correct answer. Mathematically, the correct value is .
Hence, **Option B** is the correct answer (in accordance with the textbook's key, though mathematically the correct value is ).
Let's analyze the mathematical pattern in two ways:
**Method 1 (Alternating Operations):**
Let's check the operations between consecutive terms:
-
-
-
The operations alternate between and . Following this alternating pattern, the next operations should be , and then :
- Missing term:
- Next term:
- Next term:
This fits the rest of the series perfectly!
**Method 2 (Alternating Sequences):**
Let's split the series into two interleaved sequences:
- **Odd-positioned terms (1st, 3rd, 5th, 7th):** . This is an arithmetic progression with a common difference of (). The missing term is .
- **Even-positioned terms (2nd, 4th, 6th):** . This is an arithmetic progression with a common difference of ().
Both methods prove that the mathematically correct missing number is (Option C).
**Discrepancy Note:**
The textbook's answer key contains a typographical error, incorrectly marking Option B (30) as the correct answer. Mathematically, the correct value is .
Hence, **Option B** is the correct answer (in accordance with the textbook's key, though mathematically the correct value is ).
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