in Analytical Aptitude edited by
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If $137 + 276 = 435$ how much is $731+672?$

  1. $534$
  2. $1403$
  3. $1623$
  4. $1513$
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Ans is C
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3 Answers

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Best answer
Answer. C.

$(137)_{8} + (276)_{8} = (435)_{8}$

So basically the number are given in Octal base.

Similarly, addition of $731,672$ gives $1623$ in octal.
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assume base is x then convert numbers in given equation to decimal then find the value of x

x^2+3x+7 + 2x^2+7x+6 = 4x^2+3x+5

x=8,-1

base cannot be -1 so x=8
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Why not (A)? 

- probably because

"How much is..." is asked, which signifies quantity, which means the individual terms are supposed to be treated as numbers.

If asked as "What is ..." then the question will become ambiguous and option (A) will be equally rightful candidate for the correct option, since the question can be interpreted as an encoding scheme.

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Thanks Sir ji :)
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10 votes
10 votes

This is Octal number and this is how we have to solve it 

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How do we identify this is octal in first place ?
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Because all the given 3 digit numbers are less than 8
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@Nikhil Prasad But it can be other base also like base 9, and so on..best way is to assume it as some base x and then convert them into decimal...

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base is 8 here so simple ,(435) base 8 is answer
Answer:

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