(3, 6, 81), (2, 2, 16), (4, 5, ?)
Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set.
Understanding the Number Sets
The question presents three sets of numbers. The first two sets follow a specific mathematical rule that relates the first two numbers to the third number. We need to identify this rule and apply it to the third set to find the missing number represented by '?'.
Analysing Set 1: (3, 6, 81)
Let the numbers in a set be represented as (a, b, c).
In the first set, we have a = 3, b = 6, and c = 81.
Let's explore potential relationships:
- Adding the first two numbers: $3 + 6 = 9$.
- Squaring the sum: $9^2 = 81$.
This suggests the relationship might be $ (a + b)^2 = c $. Let's test this rule with the second set.
Analysing Set 2: (2, 2, 16)
In the second set, we have a = 2, b = 2, and c = 16.
Applying the suspected rule:
- Adding the first two numbers: $2 + 2 = 4$.
- Squaring the sum: $4^2 = 16$.
The rule $ (a + b)^2 = c $ holds true for the second set as well.
Applying the Relationship to Set 3: (4, 5, ?)
Now, we apply the confirmed rule $ (a + b)^2 = c $ to the third set, where a = 4 and b = 5.
- Step 1: Sum the first two numbers. $ a + b = 4 + 5 = 9 $
- Step 2: Square the result from Step 1. $ (9)^2 = 81 $
Therefore, the missing number represented by '?' is 81.
Conclusion
By identifying the pattern where the square of the sum of the first two numbers equals the third number ($ (a + b)^2 = c $), we found that the missing number in the set (4, 5, ?) is 81.
Similar Questions
Four numbers have been given, of which three are alike in some manner, while the fourth one is different. Choose the odd one.
- 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.
$8:14::13:24::9:?$ - 9 is related to 16 following a certain logic. Following the same logic, 25 is related to 36. To which of the following is 81 related using the same logic?
- Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.
$3:17::6:?:: 9:47$ Select the option that is related to the fifth number in the same way as the fourth number is related to the third number and the second number is related to the first number.
4862 : 6428 :: 3952 : 5392 :: 1758 : ?
- The numbers in each set are related to each other in a certain way.
(2, 8, 100), (7, 2, 81), (4, 7, ?)
Based on the relationship among the numbers in the first two sets, select the number that can replace the question mark (?) in the third set. Select the option that is related to the third number in the same way as the second number is related to the first number.
4 : 80 : 5 : ?If 15 is to 30, then 20 is to __?
What comes next in the series - 11 : 121 :: 13 : ?
In the following question, select the number/symbol that will replace the question mark (?) to complete the analogy: 90 : __?___ :: 72 : 240
Important Questions from Number Based
In the following question, four number pairs are given. The number on left side of (-) is related to the number of the right side of (-) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Select the set in which the numbers are related in the same way as are the number of the following set.
(3, 7, 58)
Find the odd number/letters from the given alternatives.
Find the odd number/letters from the given alternatives.
Identify the number which is different from the other.
