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GATE 2017 ME (ME1) – Question 7

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

In the subtraction below, each underscore is one missing digit. What is the sum of the missing digits?

  5____
- 48_89
-------
   1111
  1. 8
  2. 10
  3. 11
  4. Cannot be determined

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Show answer and explanation

Correct answer: (D) Cannot be determined

Explanation

Write the subtraction as $5abcd-48e89=1111$. Then $5abcd=49200+100e$. A leading digit of 5 permits $e=8$ or 9. The valid completions are $50000-48889=1111$ and $50100-48989=1111$. The missing-digit sums are respectively 8 and 10, so the sum is not unique. Select D.

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