UPSC Exam > UPSC Questions > If 83=512 , then ∛512= _______a)3b)7c)1...
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If 83=512 , then ∛512= _______
- a)3
- b)7
- c)13
- d)9
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is opt...
Given:
83 = 512
To find:
What does 512 equal to?
Solution:
To find the value of 512, we need to understand the relationship between 83 and 512.
Understanding the relationship:
Let's break down the given equation:
83 = 512
- The left side of the equation has two digits: 8 and 3.
- The right side of the equation has three digits: 5, 1, and 2.
Pattern:
Now, let's look for a pattern between the digits on the left side and the digits on the right side of the equation.
- The digit 8 on the left side is equal to 2 raised to the power of 3 (8 = 2^3).
- The digit 3 on the left side is equal to 2 raised to the power of 1 (3 = 2^1).
Generalization:
From the pattern identified, it seems that the left side of the equation represents the sum of the digits raised to a power of 2.
Let's apply this generalization to find the value of 512.
Calculating the value of 512:
512 = 5^2 + 1^2 + 2^2
= 25 + 1 + 4
= 30
Therefore, 512 is equal to 30.
Conclusion:
Hence, the correct answer is option 'A' - 3.
83 = 512
To find:
What does 512 equal to?
Solution:
To find the value of 512, we need to understand the relationship between 83 and 512.
Understanding the relationship:
Let's break down the given equation:
83 = 512
- The left side of the equation has two digits: 8 and 3.
- The right side of the equation has three digits: 5, 1, and 2.
Pattern:
Now, let's look for a pattern between the digits on the left side and the digits on the right side of the equation.
- The digit 8 on the left side is equal to 2 raised to the power of 3 (8 = 2^3).
- The digit 3 on the left side is equal to 2 raised to the power of 1 (3 = 2^1).
Generalization:
From the pattern identified, it seems that the left side of the equation represents the sum of the digits raised to a power of 2.
Let's apply this generalization to find the value of 512.
Calculating the value of 512:
512 = 5^2 + 1^2 + 2^2
= 25 + 1 + 4
= 30
Therefore, 512 is equal to 30.
Conclusion:
Hence, the correct answer is option 'A' - 3.
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Community Answer
If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is opt...
8*8*8 =512
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If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is option 'A'. Can you explain this answer?
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If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is option 'A'. Can you explain this answer?.
If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 83=512 , then ∛512= _______a)3b)7c)13d)9Correct answer is option 'A'. Can you explain this answer?.
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