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If every element of a determinant of order 3 of value D is multiplied by 5, then the value of the new determinant is 

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If every element of a determinant of order 3 of value D is multiplied by 5, then the value of the new determinant is 

(a) D

(b) 5 D

(c) 25 D

(d) 125 D

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Best answer

Correct option is (d) 125 D

Since each element of D is multiplied by 5, the new determinant

(Taking out 5, common from each of R1, R2, R3 or C1, C2, C3)

= 125 D

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