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If X : 4 = 3y : 5 = - Z : 3 = 3x – 6y – 4z : K, Then Value of K is ________ - Mathematics

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MCQ

Solve the following question and mark the best possible option.
If x : 4 = 3y : 5 = - z : 3 = 3x – 6y – 4z : k, then value of k is ________

Options

  • 8

  • 10

  • 12

  • 14

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Solution

x : 4 = 3y : 5 = - z : 3;
From the above relationship; we can get the following.
`x/y = 12/5`         ...............(i)
`y / z = - 5/9`       ...............(ii)

From i and ii, we get

x : y : z = 12 : 5 : - 9
Let x = 12t, y = 5t, z = -9t

According to the question
(3x – 6y – 4z ) : k = x : 4

Putting the values of x , y and z in the above equation, we get
(36t  –  30t + 36t) : k = 12t : 4
k = `(42 xx 4)/12`
k = 14

Concept: Quadratic and Linear Equation (Entrance Exam)
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