Identifying the Number Relationship Logic
The question presents a pattern where numbers are related based on a specific logical rule. We need to find this rule and apply it to the number 11.
- 5 is related to 28
- 7 is related to 52
- 9 is related to 84
Deriving the Logic
Let's test a potential pattern: squaring the first number and adding a constant. Let the first number be 'n' and the related number be 'R'. The proposed logic is $R = n^2 + C$.
- For 5 related to 28: $5^2 + C = 28 \implies 25 + C = 28 \implies C = 3$.
- Check with 7 related to 52: $7^2 + 3 = 49 + 3 = 52$. The logic holds.
- Check with 9 related to 84: $9^2 + 3 = 81 + 3 = 84$. The logic is confirmed.
The consistent logic is: Square the number and add 3.
Applying the Logic to 11
Using the confirmed logic, we find the number related to 11:
- Number ($n$) = 11
- Related Number ($R$) = $n^2 + 3$
- $R = 11^2 + 3$
- $R = 121 + 3$
- $R = 124$
Therefore, 11 is related to 124.
Similar Questions
- Select the number from the given options, that has the same relation to the fifth number as the second and fourth numbers have with the first and third numbers respectively.
15 : 1365 :: 27 : 2817 :: 43 : ? - Out of the number-pairs listed below, three are alike in the way they are related to each other. Select the odd one.
- Observe the four number-pairs listed below. In three of them, the numbers are related to each other by a specific logic. Select the number pair that does not follow the same logic as the other three.
- If 2 is added to each even digit and 1 is subtracted from each odd digit in the number 9524367, then how many digits will appear more than once in the new number thus formed?
- This question is based on the five, three-digit numbers given below.
(Left) 538 745 317 853 276 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
(NOTE: All operations to be done from left to right.)
What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number? - Select the option that is related to the third number in the same way as the second number is related to the first number.
2 : 32 :: 4 : ? - Select the number from among the given options that can replace the question mark (?) in the following series.
12496, 12448, 12424, ? The rectangle represents a set of calculations that are common across all the given equations. Identify the calculations involved and solve the third equation on the same basis:
Select the option that is similar to the following numbers in a certain manner.
361, 729, 841
- Study the given pattern carefully and select the numbers from among the given options that can replace the question marks (?).
25 ◆ 64 = 5 ; 8 ; 13
144 ◆ 36 = 12 ; 6 ; 18
121 ◆ 81 = ? ; ? ; ?
Important Questions from Number Based
Four number triads have been given, out of which three are alike in some manner and one is different. Select the number triad that is different.
Choose the odd number out of the given options.
Identify the odd one from the following.
Identify the number that is different from the rest.
Four numbers have been given out of which three are alike in some manner, while one is different. Choose the odd one.
