What will come in place of (?) in the following number series?
120,60,60,90,180,?

Options

A. A)420
B. B)450
C. C)400
D. D)500

Answer

To solve the number series: 120, 60, 60, 90, 180, ?, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We start with the first term, which is 120.

### Step 2: Calculate the second term
The second term is 60.
To get from 120 to 60, we can see that:
\[ 120 \times 0.5 = 60 \]

### Step 3: Calculate the third term
The third term is also 60.
To get from the second term (60) to the third term (60), we can see that:
\[ 60 \times 1 = 60 \]

### Step 4: Calculate the fourth term
The fourth term is 90.
To get from the third term (60) to the fourth term (90), we can see that:
\[ 60 \times 1.5 = 90 \]

### Step 5: Calculate the fifth term
The fifth term is 180.
To get from the fourth term (90) to the fifth term (180), we can see that:
\[ 90 \times 2 = 180 \]

### Step 6: Calculate the missing term
Now, we need to find the missing term (let's call it K).
Following the pattern, we will multiply the fifth term (180) by 2.5:
\[ 180 \times 2.5 = 450 \]

Thus, the missing term is:
\[ K = 450 \]

### Conclusion
The number that comes in place of (?) in the series is **450**.

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