GATE CSE 2014 Set 3 | Question: GA-10

Question

Consider the equation: $(7526)_8 − (Y)_8 = (4364)_8$, where $(X)_N$ stands for $X$ to the base $N$. Find $Y$.

• A. $1634$
• B. $1737$
• C. $3142$
• D. $3162$

Answer 1

C.
The given numbers are in octal representation. Digits range from $0$ to $7$.
$Y=7526-4364$

$\;\;\;7526$
$-4364$
   _______
  $\;3142$

steps : 1. $(6-4) =2$
            2. $(2-6)$ , borrow a $8$. Now $(8+2-6)=4$
            3. $(5-1-3) = 1  $        (Subtracted by 1 because ONE $8$ was borrowed)
            4.$ (7-4) = 3$

Comments

use calci.. calsi is allowed :D (10 second time question)

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Not anymore :P

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@ Vicky Bajoria

hahaha....right :) 

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Calci does not build the concept that's by I solve the question properly.

Answer 2

3142 in Octal is the Answer. Option C.

Comments

this will indeed give the most  precise answer but at the same time,take the most valuable time.