fskilnik wrote:

GMATH practice exercise (Quant Class 1)

In the figure given, x=3(y-z). What is the value of x?

(A) 27

(B) 33

(C) 36

(D) 45

(E) 72

Obs.: all angles are measured in degrees.

\(x = 3\left( {y - z} \right)\,\,\,\,\,\left( * \right)\)

\(? = x\)

\(\left( {{\rm{Last}}\,\,{\rm{figure}}} \right)\,\,\,\,x + z\,\, = \,\,\left[ {180} \right]\,\, = \,\,\left( {60 - x} \right) + y\,\,\,\,\, \Rightarrow \,\,\,\,\,2x = y - z + 60\,\,\,\,\mathop = \limits^{\left( * \right)} \,\,\,\,{x \over 3} + 60\)

\(2x - {x \over 3} = 60\,\,\,\,\mathop \Rightarrow \limits^{ \cdot {\mkern 1mu} 3} \,\,\,\,6x - x = 3 \cdot 60\,\,\,\, \Rightarrow \,\,\,\,? = {{3 \cdot 6 \cdot 10} \over 5} = 36\)

The correct answer is (C).

We follow the notations and rationale taught in the

GMATH method.

Regards,

Fabio.

_________________

Fabio Skilnik :: GMATH method creator (Math for the GMAT)

Our high-level "quant" preparation starts here: https://gmath.net