Question

Complete the next series: 
\[ \begin{array}{ccc} 2 & 8 & 12 \\ \hline 8 & 40 & 45 \\ \hline 40 & 240 & 246 \\ \hline --- & --- & --- \\ \hline \end{array} \]

• A. 160, 960, 967
• B. 240, 1680, 1687
• C. 200, 1000, 1005
• D. 48, 288, 295

Hint:

Look for multiplication or addition patterns across the columns in a series to identify the next set of numbers.

Answer 1

The Correct Option is B

We are given the following series of numbers: \[ \begin{array}{ccc} 2 & 8 & 12 \\ \hline 8 & 40 & 45 \\ \hline 40 & 240 & 246 \\ \hline --- & --- & --- \\ \hline \end{array} \]

We need to find the next set of numbers in the series. By analyzing the pattern, we see the following: 

- In the first column: \( 2 \to 8 \to 40 \), the numbers are multiplied by 4 each time.
- In the second column: \( 8 \to 40 \to 240 \), the numbers are multiplied by 5 each time.
- In the third column: \( 12 \to 45 \to 246 \), the numbers are incremented by 33 each time.

Thus, continuing the pattern: 

- The next number in the first column will be \( 40 \times 4 = 160 \).
- The next number in the second column will be \( 240 \times 7 = 1680 \).
- The next number in the third column will be \( 246 + 41 = 1687 \).
Thus, the next numbers in the sequence are \( 240, 1680, 1687 \).
So, the correct answer is \( \boxed{240, 1680, 1687} \).