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Find P if 4516 - P7 3056 - JAMB Mathematics 2004 Question

Find P, if 4516 - P7 = 3056
A
627
B
1167
C
6117
D
1427
correct option: b
4516 - P7 = 3056
P7 = 4516 - 3056
P7 = 1426
convert 1426 = 1 * 62 + 4 * 61 + 2 * 60
= 36 + 24 + 2
= 62
Convert 6210 to base 7
62/7 = 8 R 6
8/7 = 1 R 1
1/7 = 0 R 1
∴P7 = 1167
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