Q. The integer represented by the determinant $\begin{bmatrix} 215 & 342 & 511 \\ 6 & 7 & 8 \\ 36 & 49 & 54 \end{bmatrix}$is exactly divisible by

A) 146
B) 21
C) 20
D) 335
Explanation

(c)
$\begin{bmatrix}
215 & 342 & 511 \\
6 & 7 & 8 \\
36 & 49 & 54
\end{bmatrix}$
$= 215(378 - 392) - 342(324 - 288) + 511(294 - 252)$
$= - 3010 - 12312 + 21462 = 6140$
Which is exactly divisible by 20

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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