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Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?
- a)33
- b)35
- c)43
- d)34
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Some equations are solved based on a certain system. Find the correct...
Given pattern is
324 × 289 = 35
(17)2 + (18)2 = (17+18) = 35
Similarly,
256 × 729 = ?
(16)2 + (27)2 = (16+27) = 43
Hence, the correct option is (C)
This question is part of UPSC exam. View all SSC courses
Most Upvoted Answer
Some equations are solved based on a certain system. Find the correct...
To solve this equation, we need to find a pattern or relationship between the given equations.
Let's analyze the given equations:
1) 324 × 289 = 35
2) 441 × 484 = 43
3) 625 × 400 = 45
Pattern:
Upon observing the given equations, we notice that the result of the equation seems to be related to the square root of the second number in the multiplication.
- In the first equation, the square root of 289 is 17, and the result is 35.
- In the second equation, the square root of 484 is 22, and the result is 43.
- In the third equation, the square root of 400 is 20, and the result is 45.
Using the pattern to solve the unsolved equation:
Now, let's apply this pattern to the unsolved equation: 256 × 729.
The square root of 729 is 27.
So, we can expect the result of the equation to be related to 27.
Now, we need to determine the relationship between the square root and the result.
By observing the given equations, we can notice that the result is obtained by subtracting the square root from the first number in the multiplication.
In the first equation: 324 - 17 = 307
In the second equation: 441 - 22 = 419
In the third equation: 625 - 20 = 605
So, applying the same logic to the unsolved equation: 256 - 27 = 229.
Therefore, the value of 256 × 729 is 229.
Hence, the correct answer is option 'D' (229).
Let's analyze the given equations:
1) 324 × 289 = 35
2) 441 × 484 = 43
3) 625 × 400 = 45
Pattern:
Upon observing the given equations, we notice that the result of the equation seems to be related to the square root of the second number in the multiplication.
- In the first equation, the square root of 289 is 17, and the result is 35.
- In the second equation, the square root of 484 is 22, and the result is 43.
- In the third equation, the square root of 400 is 20, and the result is 45.
Using the pattern to solve the unsolved equation:
Now, let's apply this pattern to the unsolved equation: 256 × 729.
The square root of 729 is 27.
So, we can expect the result of the equation to be related to 27.
Now, we need to determine the relationship between the square root and the result.
By observing the given equations, we can notice that the result is obtained by subtracting the square root from the first number in the multiplication.
In the first equation: 324 - 17 = 307
In the second equation: 441 - 22 = 419
In the third equation: 625 - 20 = 605
So, applying the same logic to the unsolved equation: 256 - 27 = 229.
Therefore, the value of 256 × 729 is 229.
Hence, the correct answer is option 'D' (229).
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Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer?
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Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer?.
Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer?.
Solutions for Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
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Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Some equations are solved based on a certain system. Find the correct answer for the unsolved equation on that basis. If 324 × 289 = 35, 441 × 484 = 43 and 625 × 400 = 45. find the value of 256 × 729 =?a)33b)35c)43d)34Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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