What will come in the place of question mark (?) in the given number series ?
16, 32, 96, 480?

Options

A. 3260
B. 3360
C. 3630
D. 3740

Answer

To find the missing number in the series 16, 32, 96, 480, we can analyze the pattern of multiplication between the numbers.

**Step 1: Identify the pattern of multiplication.**
- From 16 to 32:
\[ 16 \times 2 = 32 \]
- From 32 to 96:
\[ 32 \times 3 = 96 \]
- From 96 to 480:
\[ 96 \times 5 = 480 \]

**Step 2: List the multipliers used.**
- The multipliers we have used so far are:
- 2 (for 16 to 32)
- 3 (for 32 to 96)
- 5 (for 96 to 480)

**Step 3: Identify the next multiplier.**
- The multipliers (2, 3, 5) are all prime numbers. The next prime number after 5 is 7.

**Step 4: Calculate the next number in the series.**
- To find the next number after 480, we multiply 480 by the next prime number, which is 7:
\[ 480 \times 7 = 3360 \]

Thus, the number that will come in place of the question mark (?) is **3360**.