(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.)
Logic Identification in Number Relations
The question presents a number analogy where a specific logic connects the first number to the second in each pair.
- First pair: 10 is related to 120.
- Second pair: 12 is related to 168.
We need to find the underlying mathematical operation.
Analyzing the First Pair (10 to 120)
Let the first number be $N$. The relation appears to be $N \times (N + 2)$.
For the first pair: $10 \times (10 + 2) = 10 \times 12 = 120$. This matches the given relation.
Verifying the Logic with the Second Pair (12 to 168)
Using the same logic, $N \times (N + 2)$:
For the second pair: $12 \times (12 + 2) = 12 \times 14 = 168$. This confirms the logic.
Applying the Logic to Find the Missing Number
The number we need to find the relation for is 18.
Applying the established logic, $N \times (N + 2)$, where $N=18$:
Calculation: $18 \times (18 + 2) = 18 \times 20$.
Result: $18 \times 20 = 360$.
Therefore, 18 is related to 360 following the same logic.
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.)
