Math Problem Statement

In the following figure, select the number that will come in place of the question mark.

Solution

The question asks to find the number that should replace the question mark in the second cross, based on a pattern.

To solve this, let's examine each cross and look for possible relationships between the numbers:

Cross A:

  8
65  4
  4

A possible pattern here could be:

  • 8×4=328 \times 4 = 32
  • 6532=3365 - 32 = 33

This approach doesn't seem to work well. Let's instead sum all the numbers in this cross:

  • 8+65+4+4=818 + 65 + 4 + 4 = 81

This doesn't match any other clues directly, but let's hold this for now.

Cross C:

  14
13  163
  6

Sum of all numbers:

  • 14+13+163+6=19614 + 13 + 163 + 6 = 196

Cross B (the one with the question mark):

  19
7  ?  12
  2

We don't know the pattern yet, but if we hypothesize that the sum of the numbers in this cross follows a similar pattern, we might solve it.

Assuming the sums of the crosses are similar:

  • Cross A summed to 8181
  • Cross C summed to 196196

The difference between the sums could be a pattern as well. Let's hypothesize that Cross B follows a similar rule. From the provided options (145, 125, 155, and 135), we can check by calculating the sum for each and determining which fits best with the other crosses.

Let me compute which option fits this pattern better.The total sums for Cross B with each option are:

  • Option A (145): 185185
  • Option B (125): 165165
  • Option C (155): 195195
  • Option D (135): 175175

Looking at Cross C, which sums to 196196, Option C (with a total of 195195) is the closest match. Hence, the best answer for the question mark is 155, which corresponds to Option C.

Do you want more details or have any questions?

Here are some related questions:

  1. What other types of patterns can be used in number puzzles like this?
  2. How can we verify patterns when multiple strategies might work?
  3. Are there any common number patterns frequently used in puzzles?
  4. Can sums of numbers often follow specific mathematical sequences in puzzles?
  5. How do you approach such problems if no clear pattern emerges?

Tip: Always start with simple operations like addition, subtraction, multiplication, or division when solving number patterns.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Number Patterns
Summation
Arithmetic Operations

Formulas

Sum of numbers around the cross pattern

Theorems

Pattern Recognition in Number Puzzles

Suitable Grade Level

Grades 5-8