(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)
(18, 5, 85)
(11, 7, 72)
Number Relation Pattern Identification
The question requires finding a consistent mathematical relationship between the three numbers (let's call them X, Y, and Z) in the given example sets and then selecting the option that follows the same pattern. Operations must be performed on the numbers as a whole, not on their individual digits.
Analyzing Example Sets
We are given two example sets:
- Set 1: (18, 5, 85)
- Set 2: (11, 7, 72)
Let's represent the numbers in a set as (X, Y, Z).
Deriving the Numerical Pattern
We test potential relationships. A common pattern involves multiplication and subtraction/addition.
Let's test the formula \( Z = X \times Y - 5 \):
- For Set 1 (18, 5, 85): \( (18 \times 5) - 5 = 90 - 5 = 85 \). This matches.
- For Set 2 (11, 7, 72): \( (11 \times 7) - 5 = 77 - 5 = 72 \). This also matches.
The consistent pattern identified is \( Z = X \times Y - 5 \).
Testing the Options
Now, we apply the pattern \( Z = X \times Y - 5 \) to each option:
- Option 1: (9, 7, 68) \( (9 \times 7) - 5 = 63 - 5 = 58 \). Does not match 68.
- Option 2: (15, 6, 85) \( (15 \times 6) - 5 = 90 - 5 = 85 \). Matches the pattern.
- Option 3: (10, 8, 85) \( (10 \times 8) - 5 = 80 - 5 = 75 \). Does not match 85.
- Option 4: (8, 4, 32) \( (8 \times 4) - 5 = 32 - 5 = 27 \). Does not match 32.
Conclusion
Only Option 2, (15, 6, 85), satisfies the relationship \( Z = X \times Y - 5 \) found in the example sets.
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.)
