(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/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Number Relationship Logic Explained
The question presents a numerical relationship problem. We need to find the underlying logic connecting the first pair of numbers (41 and 165) and the second pair (18 and 73), and then apply this logic to find the number related to 122.
Identifying the Pattern
Let's analyze the first pair: 41 and 165.
- Consider multiplying 41 by a number close to 4: \(41 \times 4 = 164\).
- Adding 1 to the result gives 165: \(164 + 1 = 165\).
- So, the potential logic is: Multiply the first number by 4 and add 1.
Let's verify this logic with the second pair: 18 and 73.
- Apply the same logic: \(18 \times 4 + 1\).
- Calculate: \(18 \times 4 = 72\).
- Add 1: \(72 + 1 = 73\).
- The logic holds true for the second pair as well.
Applying the Logic to Find the Missing Number
Now, we apply the confirmed logic (Multiply by 4, add 1) to the number 122.
- Number: 122.
- Operation: \((122 \times 4) + 1\).
- Calculation:
- \(122 \times 4 = 488\).
- \(488 + 1 = 489\).
- Therefore, 122 is related to 489.
Conclusion
Following the established pattern of multiplying by 4 and adding 1, the number related to 122 is 489. This corresponds to Option A.
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.
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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 : ?
