Question:
The digits A,B,C are such that the three-digit numbers A88, 6B8, 86C are divisible by
72. Then the determinant
vmatrix
A & 6 & 8
8 & B & 6
8 & 8 & C
vmatrix
is divisible by
The digits A,B,C are such that the three-digit numbers A88, 6B8, 86C are divisible by
72. Then the determinant
vmatrix
A & 6 & 8
8 & B & 6
8 & 8 & C vmatrix is divisible by
8 & B & 6
8 & 8 & C vmatrix is divisible by
Show Hint
Use divisibility rules before determinant evaluation.
Updated On: Mar 17, 2026
- 72
- 144
- 288
- 216
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Divisibility by 72 implies divisibility by 8 and
9. This gives A=2, B=4, C=8.
Substitute and evaluate determinant:
=288
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