5164=120 8790=0 4134=48 2353=

General
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5164=120 8790=0 4134=48 2353=

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This type of problem appears to be a number puzzle or a type of logic riddle where a sequence of numbers follows a hidden rule or pattern. To solve for the unknown in 2353 = ?, we must first analyze the given equations (5164=120, 8790=0, 4134=48) and try to identify the relationship or rule connecting the numbers to their results.

Breaking Down Each Example

Let’s look at each equation and work through it carefully:

  1. 5164 = 120
  2. 8790 = 0
  3. 4134 = 48

The given outputs (120, 0, 48) suggest that there is a pattern or mathematical relationship derived from the digits themselves. Common patterns in these types of puzzles include the following possibilities:

Possible Approaches to Identify the Pattern

1. Count Specific Digits (E.g., Circles or Closed Loops in the Numbers)

  • Some puzzles like this are based on counting the number of “closed loops” or circles in each digit. For example:
    • 0, 6, 8, 9 have circles.
      • 0 has 1 loop, 6 has 1 loop, 8 has 2 loops, and 9 has 1 loop.
      • Digits like 1, 2, 3, 4, 5, 7 have 0 loops.
  • Checking this pattern for the given examples:
    • 5164:
      • 5 = 0 loops, 1 = 0 loops, 6 = 1 loop, 4 = 0 loops. Total loops = 0 + 0 + 1 + 0 = 1.
      • BUT the result is 120, which doesn’t match this count directly.
    • 8790:
      • 8 = 2 loops, 7 = 0 loops, 9 = 1 loop, 0 = 1 loop. Total loops = 2 + 0 + 1 + 1 = 4.
      • Result is 0, which also doesn’t match.
    • 4134:
      • 4 = 0 loops, 1 = 0 loops, 3 = 0 loops, 4 = 0 loops. Total loops = 0.
      • Result is 48, which doesn’t align either.

=> So, it’s unlikely the solution is based on total loops alone.

2. Sum or Combine the Digits with Operations

  • Consider the sum of the digits or arithmetic operations.
    • 5164 = 120:
      • Sum of digits = 5 + 1 + 6 + 4 = 16.
      • No direct multiplication or power gives 120.
    • 8790 = 0:
      • Sum = 8 + 7 + 9 + 0 = 24.
      • Result is 0, likely unrelated to the sum.
    • 4134 = 48:
      • Sum = 4 + 1 + 3 + 4 = 12.

=> Doesn’t match.

3. Product of Digits

  • Multiplying the digits might yield a connection.
    • 5164 = 120:
      • Product = 5 \cdot 1 \cdot 6 \cdot 4 = 120.
      • Perfect match!
    • 8790 = 0:
      • Product = 8 \cdot 7 \cdot 9 \cdot 0 = 0.
      • Match!
    • 4134 = 48:
      • Product = 4 \cdot 1 \cdot 3 \cdot 4 = 48.
      • Match!

Thus, the rule appears to be the product of all digits in the number.

Applying the Rule to 2353

Now, let’s calculate the result for 2353 based on the observed rule:

  • Multiply the digits: 2 \cdot 3 \cdot 5 \cdot 3
2 \cdot 3 = 6, \quad 6 \cdot 5 = 30, \quad 30 \cdot 3 = 90
  • Final result = 90

Final Answer:

2353 = 90

Let me know if you have more questions! :blush: @anonymous13