(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Number Logic Relation Analysis
The question presents a number relation puzzle. We need to find the underlying mathematical logic connecting the first number to the second in the given pairs and apply it to find the missing related number.
Step 1: Analyze the First Pair (12 to 149)
Let the first number be \(N\). We examine the relationship between 12 and 149.
- Calculate the square of 12: \(12^2 = 144\).
- Find the difference between 149 and 144: \(149 - 144 = 5\).
- This suggests a potential pattern: \(N^2 + 5\).
Step 2: Verify Logic with the Second Pair (16 to 261)
We test the hypothesized pattern \(N^2 + 5\) using the second pair, where \(N=16\).
- Calculate the square of 16: \(16^2 = 256\).
- Add 5 to the result: \(256 + 5 = 261\).
- The result matches the second number in the pair (261). Therefore, the logic \(N^2 + 5\) is confirmed.
Step 3: Apply the Logic to Find the Relation for 19
Now, we apply the confirmed logic (\(N^2 + 5\)) to find the number related to 19, where \(N=19\).
- Calculate the square of 19: \(19^2 = 361\).
- Add 5 to the result: \(361 + 5 = 366\).
Thus, 19 is related to 366 following the established logic.
Similar Questions
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
BIP : EMU
GNU : JRZ
PJAE is related to JOWH in a certain way based on the English alphabetical order. In the same way, OIVC is related to INRF. To which of the following is NEZF related to following the same logic?
Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
ZOT - TLP
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- Select the pair which follows the same pattern as that followed by the two pairs given below. Both pairs follow the same pattern.
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Important Questions from Analogy
Select the related word pair from the given alternatives. Teeth : Cut :: ____ : ______.
Select the related word pair from the given alternatives. Celsius : Temperature :: ______ : ____.
Select the option that is related to the third term in the same way as the second term is related to the first term.
0.24 : 0.0024 :: 3.03 : ?
Select the option in which the numbers are related in the same way as are the numbers in the given set.
(11, 13, 17)
Select the option that is related to the third number in the same way as the second number is related to the first number.
154 : 10 :: 261 : ?
