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In what number base was the addition 1 + nn = 100, where n >...

Mathematics
WAEC 2017

In what number base was the addition 1 + nn = 100, where n > 0, done?

  • A. n - 1
  • B. n + 1
  • C. n
  • D. n + 2
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Correct Answer: Option B
Explanation

Assuming the numbers 1 + nn =100 were added in base n + 1

n n
  1
1 0 0

n + 1 = n +1 and n + 1 in base n + 1 = 10, write 0 and carry 1, which will be added to the second n, resulting in another n + 1 in base n + 1 = 10.

So, putting the result together 1 + nn = 100 provided, the addition was carried out in base n + 1.

 


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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