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Bunuel
\(m=\frac{\frac{3}{n}}{\frac{2}{y}+\frac{1}{2y}}\)

In the expression above, if yn ≠ 0, what is the value of m?

(1) y = 3n/2
(2) n = 3/2

\(m=\frac{\frac{3}{n}}{\frac{2}{y}+\frac{1}{2y}}\)

=> \(m=\frac{3*(2y^2)}{n*(4y+y)}\) = \(m=\frac{3*(2y^2)}{n*(5y)}\)
=> \(m=\frac{6y}{5n}\)

Statement 1: y = 3n/2

Substitute this in the above eqn.,

=> \(m=\frac{6*1.5*n}{5n}\)
=> \(m=\frac{9}{5}\)

so Statement 1 is SUFFICIENT.

Statement 2: n = 3/2

Substituting this in the eqn.,

=> \(m=\frac{6*y}{5*1.5}\)

we don't know the value of y to determine m.

so Statement 2 is INSUFFICIENT.

Therefore the answer is A
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Bunuel
\(m=\frac{\frac{3}{n}}{\frac{2}{y}+\frac{1}{2y}}\)

In the expression above, if yn ≠ 0, what is the value of m?

(1) y = 3n/2
(2) n = 3/2

Given: \(m=\frac{\frac{3}{n}}{\frac{2}{y}+\frac{1}{2y}}\)

Asked: In the expression above, if yn ≠ 0, what is the value of m?

\(m=\frac{\frac{3}{n}}{\frac{2}{y}+\frac{1}{2y}} = \frac{6y}{5n}\)

(1) \(y = \frac{3n}{2}\)
\(\frac{y}{n} = \frac{3}{2}\)
\(\frac{6y}{5n} = \frac{3}{2} * \frac{6}{5} = \frac{18}{10} = 1.8\)
SUFFICIENT

(2) \(n = \frac{3}{2}\)
Value of y is unknown
NOT SUFFICIENT

IMO A
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Bunuel
\(m=\frac{\frac{3}{n}}{\frac{2}{y}+\frac{1}{2y}}\)

In the expression above, if yn ≠ 0, what is the value of m?

(1) y = 3n/2
(2) n = 3/2

Video Explanation



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