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06 May 2021, 01:19
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
39% (01:45) correct
61%
(01:41)
wrong
based on 323
sessions
History
Date
Time
Result
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If m/n = 3/8 then which of the following cannot be the value of n - m ?
I. -25
II. 0
III. 12
A. I only
B. II only
C. III only
D. II and III only
E. I, II and III
M37-43
I. -25
II. 0
III. 12
A. I only
B. II only
C. III only
D. II and III only
E. I, II and III
M37-43
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Bunuel
Given: \(\frac{m}{n}\) = \(\frac{3}{8} \)
\(m = \frac{3}{8}n\)
Asked: n - m?
\(n - m = n - \frac{3}{8}n\) = \(\frac{5n}{8}\)
1) Possible. \(\frac{5n}{8} = -25\)
\(n = -40, m = \frac{3}{8} * -40 = -15\), n - m = -25
2) \(\frac{5n}{8} = 0, n = 0, m = 0, but \frac{n}{m} = undefined\).
3) Possible. \(n =\frac{ 96}{5}, m = \frac{36}{5}\) = 12
B. IMO
Updated point 2.
24 Nov 2021, 07:51
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Official Solution:
If \(\frac{m}{n} = \frac{3}{8}\) then which of the following cannot be the value of \(n - m\) ?
I. \(-25\)
II. \(0\)
III. \(12\)
A. I only
B. II only
C. III only
D. II and III only
E. I, II and III
First of all, notice that we are NOT told that \(m\) and \(n\) are integers.
\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=-25\) has a solution: \(m = -15\), and \(n = -40\).
\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=12\) has a solution: \(m =\frac{36}{5}\), and \(n =\frac{96}{5}\)
\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=0\) does NOT have a solution because \(n - m=0\) means that \(n = m\) but \(\frac{m}{n} = \frac{3}{8}\) means that \(n \neq m\) .
Answer: B
If \(\frac{m}{n} = \frac{3}{8}\) then which of the following cannot be the value of \(n - m\) ?
I. \(-25\)
II. \(0\)
III. \(12\)
A. I only
B. II only
C. III only
D. II and III only
E. I, II and III
First of all, notice that we are NOT told that \(m\) and \(n\) are integers.
\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=-25\) has a solution: \(m = -15\), and \(n = -40\).
\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=12\) has a solution: \(m =\frac{36}{5}\), and \(n =\frac{96}{5}\)
\(\frac{m}{n} = \frac{3}{8}\), and \(n - m=0\) does NOT have a solution because \(n - m=0\) means that \(n = m\) but \(\frac{m}{n} = \frac{3}{8}\) means that \(n \neq m\) .
Answer: B
