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) (137, 95, 67) (246, 204, 176)
(199, 157, 129)
Understanding Number Set Relationships
The problem asks us to identify a set of numbers that shares the same mathematical relationship between its elements as the given sets. We are provided with two example sets: (137, 95, 67) and (246, 204, 176). The rule states that operations must be performed on the whole numbers themselves, not on their individual digits.
Analyzing the Given Number Sets
Let's analyze the relationships within the first set, (137, 95, 67):
- Relationship between the first and second number: Calculate the difference between 137 and 95.
- $\text{137} - \text{95} = \text{42}$
- Relationship between the second and third number: Calculate the difference between 95 and 67.
- $\text{95} - \text{67} = \text{28}$
So, the pattern in the first set is a difference of 42 followed by a difference of 28.
Now, let's analyze the second set, (246, 204, 176):
- Relationship between the first and second number: Calculate the difference between 246 and 204.
- $\text{246} - \text{204} = \text{42}$
- Relationship between the second and third number: Calculate the difference between 204 and 176.
- $\text{204} - \text{176} = \text{28}$
The pattern in the second set is also a difference of 42 followed by a difference of 28. Both given sets exhibit the same relationship: the second number is 42 less than the first, and the third number is 28 less than the second.
Evaluating the Options for the Same Relationship
We will now check each option to see which set of numbers follows the established pattern of differences (42 and 28).
| Option Set | Difference 1 (1st - 2nd) | Difference 2 (2nd - 3rd) | Matches Pattern? |
|---|---|---|---|
| (199, 157, 129) | $\text{199} - \text{157} = \text{42}$ | $\text{157} - \text{129} = \text{28}$ | Yes |
| (145, 103, 91) | $\text{145} - \text{103} = \text{42}$ | $\text{103} - \text{91} = \text{12}$ | No (Difference 2 is 12, not 28) |
| (120, 84, 61) | $\text{120} - \text{84} = \text{36}$ | $\text{84} - \text{61} = \text{23}$ | No (Difference 1 is 36, not 42; Difference 2 is 23, not 28) |
| (163, 112, 98) | $\text{163} - \text{112} = \text{51}$ | $\text{112} - \text{98} = \text{14}$ | No (Difference 1 is 51, not 42; Difference 2 is 14, not 28) |
Based on the analysis, only the set (199, 157, 129) exhibits the same pattern of differences as the given sets.
Conclusion
The set of numbers that is related in the same way as the given sets (137, 95, 67) and (246, 204, 176) is (199, 157, 129). This is because in all three sets, the second number is 42 less than the first, and the third number is 28 less than the second.
Revision Table: Checking Your Work
It's good practice to quickly re-verify the calculations to avoid errors.
| Set | 1st Number | 2nd Number | 3rd Number | 1st - 2nd | 2nd - 3rd |
|---|---|---|---|---|---|
| Given Set 1 | 137 | 95 | 67 | 42 | 28 |
| Given Set 2 | 246 | 204 | 176 | 42 | 28 |
| Option 1 | 199 | 157 | 129 | 42 | 28 |
Additional Information: Number Analogies and Reasoning
This type of question falls under numerical analogy or number series reasoning. The key is to find the rule or pattern connecting the numbers in the given examples. The pattern can involve arithmetic operations (addition, subtraction, multiplication, division), powers, roots, or a combination of these, often applied sequentially or between corresponding elements. In this specific problem, the pattern was a simple sequence of subtractions. Always check if the identified rule applies consistently across all given examples before applying it to the options. Pay close attention to any specific constraints mentioned in the question, such as the one here about operating on whole numbers, not individual digits.
Similar Questions
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)
(52, 34, 43)
(61, 33, 47)
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 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)
(221, 144, 73)
(222, 153, 75)
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 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.)
(13, 52, 91)
(19, 76, 133)
Select the set in which the numbers are related in the same way as the numbers of the given sets. (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.)
(111, 117, 123)
(169, 200, 231)
Select the set in which the number are related in the same way as the numbers of the given sets.
(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.)
(7, 9, 257)
(10, 3, 170)
Select the set in which the number are related in the same way as the numbers of the given sets.
(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.)
(17, 87, 104)
(20, 102, 122)
Select the set in which the number are related in the same way as the numbers of the given sets. (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.)
(9, 7, 189)
(4, 13, 156)
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 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.)
(4, 60, 5)
(5, 90, 6)
Select the set in which the numbers are related in the same way as the numbers of the given sets. (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.)
(20, 16, 8)
(10, 13, 12)
Select the set in which the numbers are related in the same way as the numbers of the given sets. (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.)
(12, 9, 4)
(18, 9, 6)
Important Questions from Letter and Number Based
Select the related number from the given alternatives that will complete the series:
Y 2 : 4 : : V 2 : ?Select the related number from the given alternatives:
F : 216 : : L : ?Select the option in which the numbers are related in the same way as are the numbers of the following set.
(12, 60, 84)
Three of the following four number-pairs ale alike in a certain way and one is different. Find the odd one out.
In the following question, select the related number from the given alternatives.
52 : 57 ∷ 46 : ?
