Select the set in which the numbers are related in the same way as are the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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) (174, 14, 15) (228, 24, 14)
Number Set Pattern Analysis
The question requires identifying a consistent mathematical relationship between the three numbers in the given sets. The constraint is to perform operations on the whole numbers, not their individual digits.
Identifying the Pattern
Let the numbers in a set be represented as (A, B, C). We analyze the two provided examples:
- Set 1: (174, 14, 15)
- Set 2: (228, 24, 14)
We look for a relationship where A is derived from B and C.
Consider the sum of the second and third numbers (B + C):
- For Set 1: 14 + 15 = 29
- For Set 2: 24 + 14 = 38
Now, let's check if the first number (A) is a multiple of this sum:
- For Set 1: 174 / 29 = 6
- For Set 2: 228 / 38 = 6
The consistent relationship identified is: A = (B + C) * 6.
Applying the Pattern to Options
We test this pattern against the given options:
- Option 1: (180, 17, 15)
Calculation: (17 + 15) * 6 = 32 * 6 = 192. Does not match 180. - Option 2: (192, 20, 13)
Calculation: (20 + 13) * 6 = 33 * 6 = 198. Does not match 192. - Option 3: (334, 16, 23)
Calculation: (16 + 23) * 6 = 39 * 6 = 234. Does not match 334. - Option 4: (384, 45, 19)
Calculation: (45 + 19) * 6 = 64 * 6 = 384. Matches the first number.
Conclusion
Option 4 follows the same pattern identified in the given sets, where the first number is equal to the sum of the second and third numbers multiplied by 6.
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.)
