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14 May 2017, 11:41
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:41) correct
32%
(01:43)
wrong
based on 161
sessions
History
Date
Time
Result
Not Attempted Yet
If \(m = 3^{(n−1)}\), what is the value of \(\frac{m}{n}\)?
(1) \(3^{(4n−1)} = 27\)
(2) \(m = 3^{(3n-3)}\)
(1) \(3^{(4n−1)} = 27\)
(2) \(m = 3^{(3n-3)}\)
15 May 2017, 01:41
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Will the answer be D?
Statement 1: 3^(4n-1) = 27 so 3^(4n-1) = 3^3; (4n-1)=3; n=1 so m = 1 from main question which gives m/n = 1.
Statement 2: m=3^(3n+1); also m = 3^(n-1); 3^(3n+1) = 3^(n-1); (3n+1)=(n-1); n = -1; m= 1/9; m/n = 1/9.
Please correct if I am wrong.
Statement 1: 3^(4n-1) = 27 so 3^(4n-1) = 3^3; (4n-1)=3; n=1 so m = 1 from main question which gives m/n = 1.
Statement 2: m=3^(3n+1); also m = 3^(n-1); 3^(3n+1) = 3^(n-1); (3n+1)=(n-1); n = -1; m= 1/9; m/n = 1/9.
Please correct if I am wrong.
15 May 2017, 02:20
Kudos
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Statement 1:
Solve to find the value of n
Put this value of n in equation for m to solve for m
So now you the value for both m and m. Hence, you can find the value of m/n
Statement 2:
Equate the values of m from equation provided in stem and statement 2 to solve for n. Put this value of n in equation of m from stem to solve for m. Hence, now you have values for both m and n.
Both the statements are sufficient on their own to find the value of m/n
Hence, D
Solve to find the value of n
Put this value of n in equation for m to solve for m
So now you the value for both m and m. Hence, you can find the value of m/n
Statement 2:
Equate the values of m from equation provided in stem and statement 2 to solve for n. Put this value of n in equation of m from stem to solve for m. Hence, now you have values for both m and n.
Both the statements are sufficient on their own to find the value of m/n
Hence, D
