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In the following question,Δ stands for any of the mathematical signs at different places, which are given as choices under each question. Select the choice with the correct sequence of signs which, when substituted, makes the question as a correct equation.
24 Δ 4 Δ 5 Δ 4
  • a)
    (x=)
  • b)
    (=x+)
  • c)
    (=+x)
  • d)
    Both B and C
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the following question,Δ stands for any of the mathematical s...
Option (b): 24 = 4 x 5 + 4 ⇒ 24 = 24
Option (c): 24 = 4 + 4 x 5 ⇒ 24 = 24
Both Options (b) and (c) are correct.
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Most Upvoted Answer
In the following question,Δ stands for any of the mathematical s...
Understanding the Equation
To solve the equation 24Δ 4Δ 5Δ 4a, we need to determine the signs represented by Δ that make it a valid mathematical statement. The goal is to find the correct sequence of operations.
Analyzing the Choices
1. Choice A: (x=)
- This choice does not provide a mathematical operation, thus it cannot form a valid equation.
2. Choice B: (=x+)
- This suggests 24 = x + 4, which does not relate to the other numbers (5 and 4a) in a meaningful arithmetic way.
3. Choice C: (=+x)
- This implies that 24 = +x + 4, causing confusion without a clear relationship between the numbers.
4. Choice D: Both B and C
- Since both B and C provide a way to express x in terms of other numbers, they can be considered valid representations.
Correct Sequence of Signs
When looking for operations, we can explore these two options:
- Using Δ as addition and equality:
- 24 = 4 + 5 + 4a
- This forms a valid equation where the left side equals the right side when a is chosen appropriately.
- Using Δ as addition in a different order:
- 24 = 5 + 4 + x
- This also holds true depending on the values assigned to x.
Conclusion
Both B and C provide plausible ways to create an equation from the original statement. Hence, the correct answer is option 'D', indicating that both sequences (B and C) can be valid when substituted in the original equation.
This analysis confirms the importance of evaluating each option in the context of mathematical operations.
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Question Description
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