Select the number from among the given options that can replace the question mark (?) in the given figure series.
To solve this figure series, let's examine the pattern using the given numbers:
The figure contains three sets, each with two squares leading to a circle, as shown below:
- In the first pair, the numbers are
4and5, leading to41in the circle. - In the second pair, the numbers are
6and7, leading to85in the circle. - In the third pair, the numbers are
8and9, and we need to find the number in the circle.
Let’s decode the pattern:
- For the first pair:
4and5.- Compute: \(4^2 + 5^{(1+1)}\)
- Calculation: \(4^2 = 16\) and \(5^2 = 25\)
- Sum: \(16 + 25 = 41\)
- For the second pair:
6and7.- Compute: \(6^2 + 7^{(2+1)}\)
- Calculation: \(6^2 = 36\) and \(7^2 = 49\)
- Sum: \(36 + 49 = 85\)
- Apply the same logic to the third pair:
8and9.- Compute: \(8^2 + 9^{(3+1)} = 64 + 81\)
- Sum: \(64 + 81 = 145\)
Thus, the number that replaces the question mark in the third circle is 145.
Similar Questions
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Important Questions from Missing Number in Diagram
Choose the correct alternative to replace the question mark (?).
42 → 26
71 → 78
33 → 16
62 → ?
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 In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.
3
11
5
45
2
4
6
44
3
7
8
?
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives
11
2
4
98
3
6
5
100
8
9
1
?
Find the missing number.
4 3 50 5 7 6 ? 8
