Question Bank - General Aptitude

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Equation: (7526)8 ? (Y)8 = (4364)8, where (X)N stands for X to the base N. Find Y.

A.
1634
B.
1737
C.
3142
D.
3162

Solution:

Calculation:(7526)8 ? (Y)8 = (4364)8(7526)8 ? (4364)8 = (Y)8? (Y)8 = (83 × 7 + 82 × 5 + 81 × 2 + 80 × 6 ) ? (83 × 4 + 82 × 3 + 81 × 6+ 80 × 4)? (Y)8 = 3926 ? 2292? (Y)8 = (1634)10DivisorDividendRemainder81634 820428254831 03(? ) (Y)8 = (3926)10 = (3142)8

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