Number puzzles - Puzzles

Q1:

A 2

B 4

C 6

D 8

ANS:B - 4

Structure of the Pattern:

  1. Grid Layout:
    • The grid is arranged in rows, each containing a series of digits.
  2. Sum Calculation:
    • The sum of the digits in each row follows a specific pattern as you move down the grid.

Explanation of the Pattern:

  1. Sum of Digits:
    • For each row, calculate the sum of the digits in that row.
  2. Increasing Sum:
    • As you move from the top row to the bottom row, the sum of the digits in each row increases by a constant amount.

Step-by-Step Process:

  1. Calculate Row Sums:
    • Compute the sum of digits for each row.
  2. Identify Increment:
    • Check how the sum increases as you move from the top to the bottom of the grid.

Example Walkthrough:

Assume you have a grid with the following rows of digits:
  • Grid: 233444664\begin{matrix} 2 & 3 & 3 \\ 4 & 4 & 4 \\ 6 & 6 & 4 \\ \end{matrix}246​346​344​

Calculate Row Sums:

  1. Top Row:
    • Sum = 2+3+3=82 + 3 + 3 = 82+3+3=8
  2. Middle Row:
    • Sum = 4+4+4=124 + 4 + 4 = 124+4+4=12
  3. Bottom Row:
    • Sum = 6+6+4=166 + 6 + 4 = 166+6+4=16

Check Increment:

  • Increment from Top to Middle:
    • Difference = 12−8=412 - 8 = 412−8=4
  • Increment from Middle to Bottom:
    • Difference = 16−12=416 - 12 = 416−12=4
The pattern shows that the sum of the digits in each row increases by 4 as you move from top to bottom.

Conclusion:

The answer "4" indicates that, in this grid, the sum of the digits in each row increases by 4 as you progress from the top row to the bottom row. This consistent increment is a key part of the pattern observed in the arrangement of digits.