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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)
(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)
i.e. ((17)2(18)2 = 1718 = 35)
Similarly, (256 × 729 = (16)2(27)2)
(=1627 = 43)
Hence, the correct option is c).
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Most Upvoted Answer
Some equations are solved based on a certain system. Find the correct...
To solve this equation, we need to identify the pattern in the given equations and apply it to the unsolved equation (256 × 729).

Pattern in the given equations:
If we observe the given equations, we can see that the product of two numbers on the left side of the equation is equal to the product of the same two numbers on the right side of the equation. However, the digits in the numbers are rearranged in a specific pattern.

Let's break down the pattern in the equations:

Equation 1: 324 × 289 = 35,441 × 484 = 43
- In this equation, we can see that the digits in the numbers on both sides are rearranged in ascending order.
- The product of 324 and 289 is 93,636, which has the digits arranged in ascending order: 336669.
- Similarly, the product of 35,441 and 484 is 17,161,444, which has the digits arranged in ascending order: 111446677.

Equation 2: 625 × 400 = 45
- In this equation, we can see that the digits in the numbers on both sides are rearranged in descending order.
- The product of 625 and 400 is 250,000, which has the digits arranged in descending order: 555000.
- Therefore, the answer to this equation is 45.

Applying the pattern to the unsolved equation:
Now, let's apply the pattern we observed to solve the unsolved equation (256 × 729).

- The digits in 256 are already in ascending order, so we won't rearrange them.
- The digits in 729 are rearranged in descending order to get 972.

Therefore, the equation 256 × 729 can be rearranged to become 256 × 972.

Calculating the product:
256 × 972 = 249,792

Therefore, the value of 256 × 729 is 249,792.

Hence, the correct answer is option C) 43.
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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)(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)(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)(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)(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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