(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 Puzzle Explained
This problem requires identifying a mathematical relationship between pairs of numbers and applying it to find a missing related number.
Analyzing the Relationship: 24 to 74
We examine the first pair, 24 and 74. Let the first number be N and the second number be M. We look for an operation such that N relates to M.
Consider multiplying N by 3 and adding 2:
For N = 24: \(3 \times 24 + 2 = 72 + 2 = 74\). This matches the given number.
Verifying the Logic: 36 to 110
Let's test this logic (\(3N + 2\)) on the second pair, 36 and 110.
For N = 36: \(3 \times 36 + 2 = 108 + 2 = 110\). This also matches.
The logic \(N \rightarrow 3N + 2\) is consistent.
Applying the Logic to 51
Now, we apply the confirmed logic (\(3N + 2\)) to find the number related to 51.
Let N = 51.
Calculation: \(3 \times 51 + 2 = 153 + 2 = 155\).
Conclusion
Following the established logic, 51 is related to 155.
This corresponds to Option A.
Similar Questions
- Select the option that is related to the third term in the same way as the second term is related to the first term.
Nose: Smell:: Ears : ? - Select the option that is related to the third term in the same way as the second term is related to the first term.
Nose: Smell:: Ears : ? - Select the option that is related to the third term in the same way as the second term is related to the first term.
Lion : Meat :: Cow : ? - Find the missing term for the related pair of letter clusters.
RAMA : MARA :: SITA : _______ - Select the missing term from the related pair of letter clusters.
BEAK : EIFQ :: SAIL : _______ - Select the missing number based on the given related pair of numbers.
1990 : 1394 :: _____ : 2017
Important Questions from Reasoning Analogy
WSO is related to XXUP in a certain way based on the English alphabetical order. In the same way, ONKG is related to PPMH. To which of the following is VURN related, following the same logic?
Select the word-pair that best represents a similar relationship to the one expressed in the pair of words given below.
(The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
Withdraw : ExtractSelect the word-pair that best represents a similar relationship to the one expressed in the pair of words given below.
Duleep Trophy : Cricket
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(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 etc. to 13, can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(4, 35, 11)
(1, 82, 61)
7 is related to 30 following a certain logic. Following the same logic, 14 is related to 100. To which of the following is 22 related following the same logic?
(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 etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
