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From among the given alternatives, select the one in which the set of numbers is most like the set of a number given in the question.
(4, 25, 81)
- a)(4,36,79)
- b)(9,48,81)
- c)(16,64,100)
- d)(9,49,143)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
From among the given alternatives, select the one in which the set of...
Given set : (4, 25, 81)
= 22,52,92
(16,64,100) = 42,82,102
Hence, the correct option is (C)
This question is part of UPSC exam. View all SSC courses
Most Upvoted Answer
From among the given alternatives, select the one in which the set of...
Comparison of the given set (4, 25, 81) with the options:
a) (4, 36, 79)
b) (9, 48, 81)
c) (16, 64, 100)
d) (9, 49, 143)
Explanation:
To find the set of numbers that is most like the given set (4, 25, 81), we need to analyze the patterns and relationships between the numbers in each option.
Option a) (4, 36, 79): This set does not follow a clear pattern or relationship with the given set. The numbers are not increasing or decreasing in a consistent manner.
Option b) (9, 48, 81): This set also does not follow a clear pattern or relationship with the given set. The numbers are not increasing or decreasing in a consistent manner.
Option c) (16, 64, 100): This set follows a clear pattern. The numbers are perfect squares: 4^2 = 16, 8^2 = 64, and 10^2 = 100. This pattern is similar to the given set (4, 25, 81) as they are also perfect squares.
Option d) (9, 49, 143): This set does not follow a clear pattern or relationship with the given set. The numbers are not increasing or decreasing in a consistent manner.
Conclusion:
Comparing all the options, option c) (16, 64, 100) is the set of numbers that is most like the given set (4, 25, 81). The numbers in both sets are perfect squares, following a clear pattern.
a) (4, 36, 79)
b) (9, 48, 81)
c) (16, 64, 100)
d) (9, 49, 143)
Explanation:
To find the set of numbers that is most like the given set (4, 25, 81), we need to analyze the patterns and relationships between the numbers in each option.
Option a) (4, 36, 79): This set does not follow a clear pattern or relationship with the given set. The numbers are not increasing or decreasing in a consistent manner.
Option b) (9, 48, 81): This set also does not follow a clear pattern or relationship with the given set. The numbers are not increasing or decreasing in a consistent manner.
Option c) (16, 64, 100): This set follows a clear pattern. The numbers are perfect squares: 4^2 = 16, 8^2 = 64, and 10^2 = 100. This pattern is similar to the given set (4, 25, 81) as they are also perfect squares.
Option d) (9, 49, 143): This set does not follow a clear pattern or relationship with the given set. The numbers are not increasing or decreasing in a consistent manner.
Conclusion:
Comparing all the options, option c) (16, 64, 100) is the set of numbers that is most like the given set (4, 25, 81). The numbers in both sets are perfect squares, following a clear pattern.
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From among the given alternatives, select the one in which the set of numbers is most like the set of a number given in the question.(4, 25, 81)a)(4,36,79)b)(9,48,81)c)(16,64,100)d)(9,49,143)Correct answer is option 'C'. Can you explain this answer?
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