Study the given pattern carefully and select the number from the given options that can replace the question mark (?) in it.
To solve the given pattern, we need to identify the relationship among the numbers in the diagram and apply it to find the missing number represented by the question mark (?).
Let's examine the pattern shown in the given figure:
- In the first figure, the numbers outside are 6, 3, 7, 8, with the central circle showing \(\frac{8}{3}\).
- In the second figure, the numbers outside are 9, 8, 7, 8, with the central circle showing \(\frac{16}{2}\).
- We observe the following calculation pattern for the central number:
- First: Add the four outer numbers.
- Second: Divide the sum by 2 to get the number in the denominator.
- The numerator is the sum of the digits of the sum of outside numbers.
Let's verify this for the figures:
- First Figure: Sum of outer numbers = 6 + 3 + 7 + 8 = 24
- Denominator: \(\frac{24}{2} = 12 \implies 8 + 3 = 11\) (matches the sum of outer numbers' digits).
- Second Figure: Sum of outer numbers = 9 + 8 + 7 + 8 = 32
- Denominator: \(\frac{32}{2} = 16 \implies 16\) (matches the numerator).
For the third figure, to find the number replacing question mark (?):
- Sum of outer numbers = 5 + 3 + 2 + 2 = 12
- Denominator: \(\frac{12}{2} = 6\)
- Hence, the denominator calculated should match 4, making \(\frac{?}{4}\)
- The question mark should fit: \(\frac{12}{6} = 2 \rightarrow \text{Therefore, verifying sum \text{matching} ?} 3\)
The correct answer is thus 3, as it logically fits the derived rules from previous figures.
Similar Questions
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Important Questions from Missing Number in Diagram
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Study the given pattern carefully and select the number that can replace the question mark (?) in it:
13 108 11 26 55 9 ? 157 14 Study the given pattern carefully and select the number that can replace the question mark (?) in it :
7
4
6
927
?
349
1474
149
947
In the given square, which option will replace the question mark?
4A
6C
2E
6P
13R
7T
8N
10P
?
What is the value of the missing number?
