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JAMB
Find P, if 451
6
- P
7
= 305
6
A.
62
7
B.
116
7
C.
611
7
D.
142
7
Correct Answer:
116
7
Explanation
451
6
- P
7
= 305
6
P
7
= 451
6
- 305
6
P
7
6 convert 142
6
= 1 * 6
2
+ 4 * 6
1
+ 2 * 6
0
= 36 + 24 + 2 = 62 Convert 62
10
to base 7 62/7 = 8 R 6 8/7 = 1 R 1 1/7 = 0 R 1 ∴ P
7
7
451
6
- P
7
= 305
6
P
7
= 451
6
- 305
6
P
7
6 convert 142
6
= 1 * 6
2
+ 4 * 6
1
+ 2 * 6
0
= 36 + 24 + 2 = 62 Convert 62
10
to base 7 62/7 = 8 R 6 8/7 = 1 R 1 1/7 = 0 R 1 ∴ P
7
7
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