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Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.
Q. 16 : 36 :: 64 : ?
- a)4
- b)6
- c)8
- d)100
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Directions: In each of the following questions, there is a certain rel...
16 = (4)2
36 = (4 + 2)2
Similarly,
64 = (8)2
? = (8 + 2)2 = 100
Hence, option D is correct.
36 = (4 + 2)2
Similarly,
64 = (8)2
? = (8 + 2)2 = 100
Hence, option D is correct.
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Directions: In each of the following questions, there is a certain rel...
Understanding the Relationship
To solve the problem of 16 : 36 :: 64 : ?, we need to identify the relationship between the first pair of numbers (16 and 36) and apply the same relationship to the second pair (64 and ?).
Analyzing the First Pair
- Square Root Calculation:
- The square root of 16 is 4.
- The square root of 36 is 6.
- Relationship:
- The numbers are related through their square roots, where 4 (sqrt of 16) is to 6 (sqrt of 36).
Applying the Relationship to the Second Pair
- Square Root of 64:
- The square root of 64 is 8.
- Finding Corresponding Number:
- We need to find a number that corresponds to the square root of 8 in the same way that 4 corresponds to 6.
- If we follow the pattern, we can observe that 6 is derived from 4 by adding 2 (6 = 4 + 2).
Calculating the Result
- Applying the Same Logic:
- We take the square root of 64 (which is 8) and apply the same addition:
- 8 + 2 = 10.
However, the options provided do not include 10. It seems there was an oversight initially stating that the correct answer is option 'D' (100).
Conclusion
- The relationship established from the first pair leads to the conclusion that the expected result from the second pair should yield 10 based on the pattern. However, analyzing the options given, none directly match this derived value.
Thus, while the answer choice 'D' appears incorrect based on the rationale provided, the focus should be on understanding how to derive relationships and apply them correctly in similar problems.
To solve the problem of 16 : 36 :: 64 : ?, we need to identify the relationship between the first pair of numbers (16 and 36) and apply the same relationship to the second pair (64 and ?).
Analyzing the First Pair
- Square Root Calculation:
- The square root of 16 is 4.
- The square root of 36 is 6.
- Relationship:
- The numbers are related through their square roots, where 4 (sqrt of 16) is to 6 (sqrt of 36).
Applying the Relationship to the Second Pair
- Square Root of 64:
- The square root of 64 is 8.
- Finding Corresponding Number:
- We need to find a number that corresponds to the square root of 8 in the same way that 4 corresponds to 6.
- If we follow the pattern, we can observe that 6 is derived from 4 by adding 2 (6 = 4 + 2).
Calculating the Result
- Applying the Same Logic:
- We take the square root of 64 (which is 8) and apply the same addition:
- 8 + 2 = 10.
However, the options provided do not include 10. It seems there was an oversight initially stating that the correct answer is option 'D' (100).
Conclusion
- The relationship established from the first pair leads to the conclusion that the expected result from the second pair should yield 10 based on the pattern. However, analyzing the options given, none directly match this derived value.
Thus, while the answer choice 'D' appears incorrect based on the rationale provided, the focus should be on understanding how to derive relationships and apply them correctly in similar problems.
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Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer?
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Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer?.
Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for UGC NET.
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ample number of questions to practice Directions: In each of the following questions, there is a certain relationship between two given numbers on one side of :: and one number is given on another side of :: while another number is to be found from the given alternatives, having the same relationship with this number as the numbers of the given pair bear. Choose the best alternative.Q. 16 : 36 :: 64 : ?a)4b)6c)8d)100Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice UGC NET tests.
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