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Each of the following arithmetic operations is correct in at least one number system:
(i) 1234 + 5432 = 6666 is valid in any number system with base ≥ 6.
(ii) √41 = 5 is valid in a number system with base 6.
(iii) 302/20 = 12.1 is valid in a number system with base 5.
Out of the above arithmetic operations:
  • a)
    (ii) and (iii) are correct
  • b)
    only (iii) is correct
  • c)
    only (ii) is correct
  • d)
    none is correct
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Each of the following arithmetic operations is correct in at least one...
  • 1234 + 5432 = 6666
    i.e.,

    Since the largest digit used is 6, this arithmetic operation is valid in any number system with base ≥ 7
  • √41 = 5
    Let the base be 5.
    Then, its decimal equivalent operation is,
    or, 4b + 1 = 25 or, b = 6 Thus, the base is 6.
  • 302/20 = 12.1
    Expressing in decimal, we have:
    (3b2 + 2)/2b = b + 2 + 1/b
    or, 3b2 + 2 = 2b2 + 4b + 2
    or, b2 - 4b = 0 or b = 4
    (Neglecting b = 0)
    Thus, the base is 4.
    Hence, only (ii) is correct.
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Most Upvoted Answer
Each of the following arithmetic operations is correct in at least one...
10 or higher.

(ii) 1011 + 1101 = 11100 is valid in binary number system (base 2).

(iii) 222 + 111 = 1000 is valid in ternary number system (base 3).

(iv) 456 × 3 = 1378 is valid in quaternary number system (base 4).

(v) 34 ÷ 6 = 5 remainder 4 is valid in any number system with base 6 or higher.
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Each of the following arithmetic operations is correct in at least one number system:(i) 1234 + 5432 = 6666 is valid in any number system with base ≥ 6.(ii) √41 = 5 is valid in a number system with base 6.(iii) 302/20= 12.1 is valid in a number system withbase 5.Out of the above arithmetic operations:a)(ii) and (iii) are correctb)only (iii) is correctc)only (ii) is correctd)none is correctCorrect answer is option 'C'. Can you explain this answer?
Question Description
Each of the following arithmetic operations is correct in at least one number system:(i) 1234 + 5432 = 6666 is valid in any number system with base ≥ 6.(ii) √41 = 5 is valid in a number system with base 6.(iii) 302/20= 12.1 is valid in a number system withbase 5.Out of the above arithmetic operations:a)(ii) and (iii) are correctb)only (iii) is correctc)only (ii) is correctd)none is correctCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Each of the following arithmetic operations is correct in at least one number system:(i) 1234 + 5432 = 6666 is valid in any number system with base ≥ 6.(ii) √41 = 5 is valid in a number system with base 6.(iii) 302/20= 12.1 is valid in a number system withbase 5.Out of the above arithmetic operations:a)(ii) and (iii) are correctb)only (iii) is correctc)only (ii) is correctd)none is correctCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of the following arithmetic operations is correct in at least one number system:(i) 1234 + 5432 = 6666 is valid in any number system with base ≥ 6.(ii) √41 = 5 is valid in a number system with base 6.(iii) 302/20= 12.1 is valid in a number system withbase 5.Out of the above arithmetic operations:a)(ii) and (iii) are correctb)only (iii) is correctc)only (ii) is correctd)none is correctCorrect answer is option 'C'. Can you explain this answer?.
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