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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 /deleting /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)
(64, 100, 54)
(84, 81, 75)
- a)(70, 49, 60)
- b)(125, 64, 117)
- c)(51, 36, 43)
- d)(12, 4, 9)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Select the set in which the numbers are related in the same way as are...
The logic followed here is,
(First Number) - (√Second Number) = (Third Number)
(64, 100, 54):
Using the logic,
64 - √100 = 54, 54 = 54
LHS = RHS.
Similarly,
(84, 81, 75):
Using the logic,
84 - √81 = 75, 75 = 75
LHS = RHS.
Now, let's check each option,
1) (70, 49, 60):
Using the logic,
70 - √49 = 60, 63 = 60
LHS ≠ RHS.
2) (125, 64, 117):
Using the logic,
125 - √64 = 117, 117 = 117
LHS = RHS.
3) (51, 36, 43):
Using the logic,
51 - √36 = 43, 45 = 43
LHS ≠ RHS.
4) (12, 4, 9):
Using the logic,
12 - √4 = 9, 10 = 9
LHS ≠ RHS.
Here, we can see that Option 2 satisfies the logic.
Hence, the correct answer is " (125, 64, 117) ".
Most Upvoted Answer
Select the set in which the numbers are related in the same way as are...
Understanding the Relationship in the Original Set
The original set of numbers is (64, 100, 54). To find a common relationship among these numbers, we can analyze their properties:
- 64: This number is 8² (a perfect square).
- 100: This number is 10² (another perfect square).
- 54: This number can be expressed as 6 × 9 (not a perfect square, but it involves the square numbers 6 and 9).
Identifying the Pattern
In the original set, the first two numbers are perfect squares, while the third number relates to the first two through multiplication or a combination of their square roots.
Analyzing the Options
Now, let's analyze the given options:
- Option a (70, 49, 60):
- 49 is a perfect square (7²), but 70 and 60 do not fit the pattern.
- Option b (125, 64, 117):
- 64 is a perfect square (8²), and 125 can be related through roots (5³) to nearby perfect squares.
- 117 does not clearly fit, but the variation can be considered.
- Option c (51, 36, 43):
- 36 is a perfect square (6²), but 51 and 43 do not relate through squares.
- Option d (12, 4, 9):
- 4 is a perfect square (2²), 9 is also a perfect square (3²), but 12 does not fit the pattern.
Conclusion
After analyzing all options, option b (125, 64, 117) stands out as it maintains a relationship through perfect squares, similar to the original set. Thus, it is the correct choice.
The original set of numbers is (64, 100, 54). To find a common relationship among these numbers, we can analyze their properties:
- 64: This number is 8² (a perfect square).
- 100: This number is 10² (another perfect square).
- 54: This number can be expressed as 6 × 9 (not a perfect square, but it involves the square numbers 6 and 9).
Identifying the Pattern
In the original set, the first two numbers are perfect squares, while the third number relates to the first two through multiplication or a combination of their square roots.
Analyzing the Options
Now, let's analyze the given options:
- Option a (70, 49, 60):
- 49 is a perfect square (7²), but 70 and 60 do not fit the pattern.
- Option b (125, 64, 117):
- 64 is a perfect square (8²), and 125 can be related through roots (5³) to nearby perfect squares.
- 117 does not clearly fit, but the variation can be considered.
- Option c (51, 36, 43):
- 36 is a perfect square (6²), but 51 and 43 do not relate through squares.
- Option d (12, 4, 9):
- 4 is a perfect square (2²), 9 is also a perfect square (3²), but 12 does not fit the pattern.
Conclusion
After analyzing all options, option b (125, 64, 117) stands out as it maintains a relationship through perfect squares, similar to the original set. Thus, it is the correct choice.
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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 /deleting /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) (64, 100, 54) (84, 81, 75)a)(70, 49, 60)b)(125, 64, 117)c)(51, 36, 43)d)(12, 4, 9)Correct answer is option 'B'. Can you explain this answer?
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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 /deleting /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) (64, 100, 54) (84, 81, 75)a)(70, 49, 60)b)(125, 64, 117)c)(51, 36, 43)d)(12, 4, 9)Correct answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about 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 /deleting /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) (64, 100, 54) (84, 81, 75)a)(70, 49, 60)b)(125, 64, 117)c)(51, 36, 43)d)(12, 4, 9)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 /deleting /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) (64, 100, 54) (84, 81, 75)a)(70, 49, 60)b)(125, 64, 117)c)(51, 36, 43)d)(12, 4, 9)Correct answer is option 'B'. Can you explain this answer?.
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 /deleting /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) (64, 100, 54) (84, 81, 75)a)(70, 49, 60)b)(125, 64, 117)c)(51, 36, 43)d)(12, 4, 9)Correct answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about 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 /deleting /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) (64, 100, 54) (84, 81, 75)a)(70, 49, 60)b)(125, 64, 117)c)(51, 36, 43)d)(12, 4, 9)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 /deleting /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) (64, 100, 54) (84, 81, 75)a)(70, 49, 60)b)(125, 64, 117)c)(51, 36, 43)d)(12, 4, 9)Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice 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 /deleting /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) (64, 100, 54) (84, 81, 75)a)(70, 49, 60)b)(125, 64, 117)c)(51, 36, 43)d)(12, 4, 9)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Software Development tests.
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