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.
Similar Questions
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Important Questions from Missing Number
Study the given pattern carefully and select the number from among the given options that can replace the question mark (?) in it.
13 16 52 15 24 90 23 36 ? Select the set in which the numbers are related in the same way as are the numbers of the given set.
(NOTE: Operations should be performed on the whole numbers, without breaking down the number into its constituent digits.E.g. 13 - Operations on 13 such as adding /Subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(25, 150, 3)
(18, 180, 5)
Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
7 ∶ 35 ∶∶ 21 ∶ 399 ∶∶ 4 ∶ ?
Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row - 12, 7, 32
Second row - 17, 13, 33
Third row - 14, 8, ?
(NOTE : Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed)
Select the number that can replace the question mark (?) in the following pattern.
5
6
7
8
9
115
206
?
502
719
