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Direction: In a number system there are symbols namely @ and #. ‘0’ is represented by ‘@’and ‘1’ is represented by ‘#’. Subsequently,
‘2’ is represented by ‘#@’.
‘3’ is represented by ‘##’
‘4’ is represented by ‘#@@’
‘5’ is represented by ‘#@#’
‘6’ is represented by ‘##@’
Based, on the above pattern, answer the question that follows-
Q. Which of the following will be represented by #@##@?
  • a)
    21
  • b)
    20
  • c)
    23
  • d)
    22
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: In a number system there are symbols namely @ and #. ‘0’ i...
Analysis:
In this number system, each digit is represented by a combination of symbols '@' and '#'. By following the given pattern, we can determine the representation of any number.

Given Representation:
- 0 is represented by '@'
- 1 is represented by '#'
- 2 is represented by '#@'
- 3 is represented by '##'
- 4 is represented by '#@@'
- 5 is represented by '#@#'
- 6 is represented by '##@'

Calculating #@##@:
- #@##@ can be broken down as follows:
- @ represents 0
- # represents 1
- ## represents 3
- @ represents 0
- # represents 1
Therefore, #@##@ represents the number 01301.

Answer:
The number represented by #@##@ is 01301. Since this number is not given as an option, the correct answer is None of these.
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Community Answer
Direction: In a number system there are symbols namely @ and #. ‘0’ i...
According to the given information-
As # represented 1 and @ represented 0 then-
→ #@##@ → 10110 → 1 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 0 × 20 → 16 + 0 + 4 + 2 + 0 → 22
So, #@##@ is represented by 22.
Hence, the correct option is (D).
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Direction: In a number system there are symbols namely @ and #. ‘0’ is represented by ‘@’and ‘1’ is represented by ‘#’. Subsequently,‘2’ is represented by ‘#@’.‘3’ is represented by ‘##’‘4’ is represented by ‘#@@’‘5’ is represented by ‘#@#’‘6’ is represented by ‘##@’Based, on the above pattern, answer the question that follows-Q. Which of the following will be represented by #@##@?a)21b)20c)23d)22e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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