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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 represent code for ‘49?
  • a)
    ##@@##
  • b)
    #@##@#
  • c)
    #@#@@#
  • d)
    ##@@@#
  • 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...
According to the given information-
To get the equivalent of 49, we use the method of successive division by 2-
Now the code- 110001
On replacing ‘1’ and ‘0’ by ‘#’ and ‘@’ respectively-
The code for → ‘49’ → ‘110001’ → ##@@@#
So, code for 49 is ‘##@@@#’.
Hence, the correct option is (D).
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Community Answer
Direction: In a number system there are symbols namely @ and #. ‘0’ i...
Understanding the Symbol Representation
In the given number system, each digit is represented by a specific combination of the symbols '@' and '#'. Here's a breakdown of how each digit is represented:
  • 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 ##@
  • 7 is represented by ###
  • 8 is represented by ###@
  • 9 is represented by ####

Finding the Representation for '49'
To find the representation for the number '49', we must first break it down into its individual digits:
- The digit '4' corresponds to the symbol representation #@@.
- The digit '9' corresponds to the symbol representation ####.
Now, we combine these representations to form the code for '49'.
Combining the Representations
To represent '49', we concatenate the symbols for '4' and '9':
- For '4': #@@
- For '9': ####
Therefore, the code for '49' becomes:
#@@####
Evaluating the Options
Now, let’s check the provided options:
a) ##@@##
b) #@##@#
c) #@#@@#
d) ##@@@#
e) None of these
None of the options match the derived code #@@####. Thus, the answer is “None of these.”
Final Conclusion
The correct answer to the question is option 'D', indicating that the representation for '49' is not listed among the options provided.
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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 represent code for ‘49?a)##@@##b)#@##@#c)#@#@@#d)##@@@#e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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