Study the given pattern carefully and select the number from the given options that can replace the question mark (?).
The given pattern shows numbers arranged in triangles. Our task is to determine the number that can replace the question mark (?) in the third triangle.
To analyze the pattern, let's observe the triangles one by one:
- In the first triangle, the vertices are labeled with numbers 1, 1, and 1, and the center number is 2. The relation can be observed as:
- The product of the vertex numbers, \(1 \times 1 \times 1 = 1\).
- This product, multiplied by the center number, gives \(1 \times 2 = 2\).
- In the second triangle, the vertices are 2, 4, and 5, with the center number being 2. The relation is:
- The product of the vertex numbers is \(2 \times 4 \times 5 = 40\).
- Multiplying this by the center number: \(40 \times 2 = 80\).
- In the third triangle, the vertices are labeled as 5, ?, and 25, with the center also being 2. We need to find the missing vertex number that when multiplied with the other vertex numbers two results in 625:
- The given relation in the problem suggests the pattern involves increasing powers of 5.
- Notice that \(5^4 = 625\), which fits the incremental pattern based on the previous strategies applied.
- This suggests that the missing number is \(5^2 = 25\).
Thus, the number replacing the question mark (?) should be 625.
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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?
