Math Problem Statement

what is answer in ?

From the following options, choose a number to replace the question mark.

Solution

Let's analyze the pattern in the cubes.

Looking at the numbers in the cubes:

  1. In the first cube:

    • 9, 5, and 16
    • 9+5+16=309 + 5 + 16 = 30
  2. In the second cube:

    • 36, 7, and 13
    • 36+7+13=5636 + 7 + 13 = 56
  3. In the third cube:

    • 16, 20, and the unknown number (?)
    • 16+20+?=4216 + 20 + ? = 42

We need to solve for the unknown number:

16+20+?=4216 + 20 + ? = 42

36+?=4236 + ? = 42

?=4236=6? = 42 - 36 = 6

Therefore, the missing number is 6, which corresponds to option (e).

Would you like further details or have any other questions?

Here are 5 related questions to consider:

  1. How do number patterns generally work in logic-based problems?
  2. What are common strategies to recognize number sequences in cubes?
  3. How can cube puzzles be connected to spatial reasoning in math?
  4. Can this method be applied to non-square shapes for similar puzzles?
  5. What variations exist in these kinds of logic puzzles?

Tip: When solving puzzles, always verify if there's an additive, multiplicative, or relational pattern between the numbers in the sequence!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Pattern Recognition

Formulas

Sum of numbers in a sequence

Theorems

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Suitable Grade Level

Grades 5-7