JAMB Mathematics 2010 Objective — Question 2

Question 2 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

2. Find r, if 6r7(base 8) = 511(base 9). A. 6B. 5C. 3D. 2

A. 6
B. 5
C. 3Correct
D. 2

Explanation

Convert both numbers to base 10: (6x8^2 + rx8^1 + 7x8^0) = (5x9^2 + 1x9^1 + 1x9^0). 384+8r+7 = 405+9+1. 8r=24, r=3.

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