Let A=(("[x+1]", "[x+2]" , "[x+3]"),("[...

Let `A=(("[x+1]", "[x+2]" , "[x+3]"),("[x]","[x+3]","[x+3]"),("[x]","[x+2]","[x+4]"))`, where [t] denotes the greatest integer less than or equal to t. If det(A)=192, then the set of values of x is the interval :

A

[68, 69)

B

[65, 66)

C

[62, 63)

D

[60, 61)

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The correct Answer is:

C

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