Study the given pattern carefully and select the number from the given options that can replace the question mark (?).
To solve this problem, we need to analyze the pattern in the given diagram:
The circle is divided into six sections. Each section seems to follow a specific pattern involving mathematical operations.
Let’s examine the sections:
- The numbers on the left half of the circle are 8, 27, and 4.
- The numbers on the right half of the circle are 1, ?, and 3.
Observe the pattern in each vertical pair or set:
Pattern Explanation:
- The top left segment (8) appears opposite to the bottom left segment (1). Something similar should be true for the top right segment and the bottom right segment.
- The middle left segment (27) has a relationship with the middle right segment, the missing number (?) in the position equivalent to the 27.
- Notice the power relationship in the segments:
- \(8 = 2^3\)
- \(27 = 3^3\)
- \(4 = 2^2\)
- The opposite counterparts number are simple such as 1 and 1.
- Therefore, since the middle number to replace the question mark is a counterpart of \(3\), it needs to be a cube such that the term results in an integer.
- The cube of the number, following the pattern, should correspond with \(27\).
Conclusion: The logical relationship supports that the answer is \(4^3 = 64\) for the missing segment.
Thus, the number that can replace the question mark (?) is 64.
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Important Questions from Missing Number
Find the missing number from the below options.
Find the missing number from the below options.
Find the missing number from the below options.
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives
12
17
121
21
81
144
36
45
?
In the following question, find the missing number from the given series.
4, 12, 48, 240, 1440, ?
