A teacher said that there were 100 students in his class, 24 of whom were boys and 32 were girls. Which base system did the teacher use in this statement?

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Solution

The correct option is C 6
Check for every options.
24 = 2 x 6^1 + 4 x 6^0 = 16
32 = 3 x 6^1 + 2 x 6^0 = 20
100 = 1 x 6^2 + 0 x 6^1 + 0 x 6^0 = 36
For base 6 we have, (24 + 32) = 100.
Hence, option (c) is correct answer.

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A teacher said that there were 100 students in his class, 24 of whom were boys and 32 were girls. Which base system did the teacher use in this statement?

The correct option is C 6Check for every options. 24 = 2 x 6^1 + 4 x 6^0 = 16 32 = 3 x 6^1 + 2 x 6^0 = 20 100 = 1 x 6^2 + 0 x 6^1 + 0 x 6^0 = 36 For base 6 we have, (24 + 32) = 100. Hence, option (c) is correct answer.

The correct option is C 6
Check for every options.
24 = 2 x 6^1 + 4 x 6^0 = 16
32 = 3 x 6^1 + 2 x 6^0 = 20
100 = 1 x 6^2 + 0 x 6^1 + 0 x 6^0 = 36
For base 6 we have, (24 + 32) = 100.
Hence, option (c) is correct answer.