The digits A, B, C are such that the three digit numbers A 88, 6B8, 86C are divisible by…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
The digits A, B, C are such that the three digit numbers A 88, 6B8, 86C are divisible by 72, then the determinant \[\left|\begin{array}{ccc}
\mathrm{A} & 6 & 8 \\
8 & \mathrm{~B} & 6 \\
8 & 8 & \mathrm{C}
\end{array}\right|\] is divisible by
- 72
- 144
- 288
- 216
Answer
(A) 72, (B) 144, (C) 288
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