GRE Exam Numerical Ability Algebra

If mx + qy − nx − py = 0, p − q = 3, and x/y = -2/3 , then which of the following is true?
A) n + m = 9/2 B) n - m = 2 C) m + n = 2 D) m - n = -9/2

Read Solution (Total 1)

Correct Option is (D)

mx+qy-nx-py=0
x(m-n)-y(p-q)=0
(-2y/3)(m-n)-3y=0 ; p-q=3 & x/y=(-2/3)
y(-2m+2n-9)=0 => m-n=(-9/2)
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GRE Other Question

Eighteen men can complete a work in 10 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete remaining work? [A] 3 [B] 2 [C] 4 [D] 5 Nguyen had invested a total of $20,000 in two banks A and B. At the end of one year he realized that his interest amount from bank A was one and half times that from bank B. If his investment in bank A was three times as that in bank B and if he earned a total interest amount of $1,250 from the two banks then what is the interest rate in bank B ?
[A] 10% [B] 8 [C] 12% [D] 5%