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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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