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GATE 2014 CS (CS3) – Question 10

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

In $(7526)_8-(Y)_8=(4364)_8$, $(X)_N$ denotes X in base N. Find Y.

  1. 1634
  2. 1737
  3. 3142
  4. 3162

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Correct answer: (C) 3142

Explanation

Compute7526₈−4364₈digitwise with base8borrowing. Units6−4=2; borrow for2−6to get4, leaving4in the next column, then4−3=1and7−4=3. The result is **3142₈,C**. A decimal check gives3926−2292=1634=3142₈.