What will come in place of the question mark (?) in the given number series?
6 4 4 6 16 ?

Options

A. 78
B. 70
C. 72
D. 74

Answer

To solve the number series: 6, 4, 4, 6, 16, ?, we need to identify the pattern in the series.

### Step 1: Identify the pattern
1. Start with the first number, which is 6.
2. The second number is 4. Notice that 6 multiplied by 1 is still 6, but we subtract 2 to get 4.
- Calculation: \(6 - 2 = 4\)

### Step 2: Continue the pattern
3. The third number is again 4. Here, we multiply the second number (4) by 2 and then subtract 4.
- Calculation: \(4 \times 2 - 4 = 8 - 4 = 4\)

### Step 3: Move to the next number
4. The fourth number is 6. We take the third number (4), multiply it by 3, and then subtract 6.
- Calculation: \(4 \times 3 - 6 = 12 - 6 = 6\)

### Step 4: Proceed to the next number
5. The fifth number is 16. We take the fourth number (6), multiply it by 4, and then subtract 8.
- Calculation: \(6 \times 4 - 8 = 24 - 8 = 16\)

### Step 5: Find the next number in the series
6. Now, we need to find the sixth number (?). We take the fifth number (16), multiply it by 5, and then subtract 10.
- Calculation: \(16 \times 5 - 10 = 80 - 10 = 70\)

### Conclusion
The number that comes in place of the question mark (?) is **70**.