Number puzzles - Puzzles

Q1:

A 8

B 16

C 24

D 32

ANS:B - 16

The explanation describes a pattern for generating numbers by doubling in a specific order. Here’s a detailed breakdown of how to understand and apply this pattern:

Explanation of the Pattern:

  1. Starting Point:
    • Begin with the top left number of the diagram.
  2. Doubling Sequence:
    • Alternate between moving left and right through the rows.
    • Double the number each time you move to the next position.
  3. Repeating Sequence:
    • After completing the sequence starting from the top left number, start again with the top right number and repeat the doubling pattern.

Applying the Pattern:

To determine or verify the result, follow these steps:
  1. Identify the Starting Number:
    • Note the initial number in the top left position.
  2. Double the Number:
    • Move through the diagram one row at a time, alternating between left and right.
    • Double the number at each step.
  3. Repeat from the Top Right:
    • After completing the sequence starting from the top left, start again from the top right number.
    • Apply the same doubling pattern.

Example:

Assume the numbers in the diagram are:
  • Top Left Number: 2
  • Top Right Number: 3
Starting with the Top Left Number (2):
  1. Double 2:
    • First number: 222
    • Move to the next position (left or right) and double it.
  2. Move Right:
    • 2×2=42 \times 2 = 42×2=4
  3. Move Left:
    • 4×2=84 \times 2 = 84×2=8
  4. Move Right:
    • 8×2=168 \times 2 = 168×2=16
Starting with the Top Right Number (3):
  1. Double 3:
    • First number: 333
    • Move to the next position (left or right) and double it.
  2. Move Left:
    • 3×2=63 \times 2 = 63×2=6
  3. Move Right:
    • 6×2=126 \times 2 = 126×2=12
  4. Move Left:
    • 12×2=2412 \times 2 = 2412×2=24
Verification:
  • Ensure that the pattern of doubling each number in the sequence correctly follows the given pattern and matches the provided number.

Conclusion:

The provided answer 16 suggests that by starting with a number, moving through the diagram, and doubling at each step while alternating between left and right, you eventually reach 16. This pattern correctly demonstrates how doubling numbers in a specific order and repeating the process from another starting point leads to the final result.