Find the odd one out from the given series:
3, 12, 27, 48, 76, 108

Question

Accepted Answer

#### Step 1: Analyze the Pattern in the Series
The given series is: **3, 12, 27, 48, 76, 108**.  
To identify the odd one out, calculate the differences between consecutive terms:  
- $$12 - 3 = 9$$  
- $$27 - 12 = 15$$  
- $$48 - 27 = 21$$  
- $$76 - 48 = 28$$  
- $$108 - 76 = 32$$

#### Step 2: Identify the Pattern in Differences
The differences are: **9, 15, 21, 28, and 32**.  
The pattern suggests that the differences should increase by a fixed amount. However:  
- The first three differences (9, 15, and 21) increase by **6** (consistent).  
- The difference between **21 and 28** is **7**, which breaks the pattern.

#### Step 3: Verify the Odd Term
The inconsistency occurs at **76**, which causes the difference to deviate from the expected pattern.

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Thus, the odd one out is **(c) 76**.

Answer

Answer

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