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03 Oct 2018, 03:00
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Difficulty:
5%
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Question Stats:
91% (00:59) correct
9%
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based on 925
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If \(2^x(5^n) = t\), what is the value of t?
(1) \(x = n + 3\)
(2) \(2^x = 32\)
(1) \(x = n + 3\)
(2) \(2^x = 32\)
03 Oct 2018, 03:05
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Bunuel
Question: What is the value of t?
Given: \(2^x(5^n) = t\)
To infer something about t from this expression, we need information about values of x and m
Statement 1: \(x = n + 3\)
i.e. \(2^x(5^n) = 2^{n+3}*5^n = t\)
But no information about the value of n hence
NOT SUFFICIENT
Statement 2: \(2^x = 32\)
i.e. \(2^x = 2^5\)
i.e. x = 5 but value of n is still unknown hence
NOT SUFFICIENT
Combining the two statements
\(x = 5 = n+3\)
i.e. \(n = 2\)
ie. \(t = 2^x(5^n) = 2^5*5^2\)
SUFFICIENT
Answer: Option C
03 Oct 2018, 03:06
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Statement 1:
x = n+3.
Clearly insufficient.
Statement 2:
\(2^x\) = 32
x = 5.
No info about n. Insufficient.
Combining both gives x as 5 and n as 2.
t = \(2^5\)\(5^2\)
Sufficient.
C is the answer.
x = n+3.
Clearly insufficient.
Statement 2:
\(2^x\) = 32
x = 5.
No info about n. Insufficient.
Combining both gives x as 5 and n as 2.
t = \(2^5\)\(5^2\)
Sufficient.
C is the answer.
