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08 Sep 2022, 00:38
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C
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Difficulty:
15%
(low)
Question Stats:
76% (01:08) correct
24%
(01:26)
wrong
based on 46
sessions
History
Date
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Not Attempted Yet
If 7x(2n) = t and x and n are integers, what is the value of t ?
(1) xn is a prime number
(2) x = 5
(1) xn is a prime number
(2) x = 5
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08 Sep 2022, 02:19
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If \(7x(2n) = t\) and \(x\) and \(n\) are integers, what is the value of \(t\) ?
\(t=14xn\)
We need to find the value of \(xn\) to find the value of \(t\).
(1) \(xn\) is a prime number
Not sufficient.
xn can be any prime number for eg 3,5,7 etc, where one value among \(\)n and \(x\) is equal to 1 and another would be the prime number.
(2) \(x = 5\)
Not sufficient.
We don't know the value of \(n\).
Using both statement 1 and 2
we conclude \(x=5\) and \(n=1\) and hence \(xn=5\). Therefore we will be able to calculate value of \(t\).
Hence the answer is C
\(t=14xn\)
We need to find the value of \(xn\) to find the value of \(t\).
(1) \(xn\) is a prime number
Not sufficient.
xn can be any prime number for eg 3,5,7 etc, where one value among \(\)n and \(x\) is equal to 1 and another would be the prime number.
(2) \(x = 5\)
Not sufficient.
We don't know the value of \(n\).
Using both statement 1 and 2
we conclude \(x=5\) and \(n=1\) and hence \(xn=5\). Therefore we will be able to calculate value of \(t\).
Hence the answer is C
11 Sep 2022, 22:38
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Quote:
We need to get an exact value of t .
Statement 1 :
Quote:
We do not know the exact value of xn .It can be any prime number 2,3...
only thing we can infer that between x and n , either one is 1.
Insufficient .
A,D gone.
Statement 2 :
Quote:
We need to know the value of n.
Insufficient.
B is gone as well .
combining statement 1 and 2 .
x=5 , then n = 1
7*5(2*1) = t
70 = t
We get a definite value of t .
Option C is the correct answer.
