What value will come in place of question mark(?) in the number series given below?
32, 48, 72, 108, 162, ?

Options

A. 242
B. 244
C. 240
D. 243

Answer

To find the value that comes in place of the question mark (?) in the number series 32, 48, 72, 108, 162, we can analyze the pattern of the series step by step.

### Step 1: Identify the pattern in the series
The series given is:
- 32
- 48
- 72
- 108
- 162
- ?

### Step 2: Calculate the differences between consecutive terms
Let's find the differences between each pair of consecutive terms:
- 48 - 32 = 16
- 72 - 48 = 24
- 108 - 72 = 36
- 162 - 108 = 54

So, the differences are:
- 16, 24, 36, 54

### Step 3: Analyze the differences
Now, let's look at the differences:
- The first difference is 16
- The second difference is 24
- The third difference is 36
- The fourth difference is 54

### Step 4: Identify the pattern in the differences
If we look closely, we can see that the differences themselves are increasing:
- 24 - 16 = 8
- 36 - 24 = 12
- 54 - 36 = 18

### Step 5: Find the next difference
The differences between the differences are:
- 8, 12, 18

These differences are increasing by 4, 6, which suggests that the next difference could be:
- 18 + 6 = 24

### Step 6: Calculate the next term in the series
Now, we can find the next difference:
- The next difference after 54 would be 54 + 24 = 78.

### Step 7: Add the next difference to the last term
Now, we add this difference to the last term in the series:
- 162 + 78 = 240

### Conclusion
Thus, the value that will come in place of the question mark (?) is **240**.

### Final Answer
240

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