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28 Jan 2017, 05:19
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Is x an integer?
(1) 5x is an integer.
(2) \(\frac{5}{x}\) is an integer.
(1) 5x is an integer.
(2) \(\frac{5}{x}\) is an integer.
28 Jan 2017, 06:13
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chetan2u
Is x an integer?
1) 5x is an integer.
2) \(\frac{5}{x}\) is an integer.
1) 5x is an integer.
2) \(\frac{5}{x}\) is an integer.
Statement 1:5x is an integer. We can have x=1 or x=1/5. Insufficient
Statement 2:5/x is an integer. Again, we can have x=1 or x=1/5. Insufficient.
Even using both, we can have x=1 or 1/5. Answer E
28 Jan 2017, 09:20
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From statement 1 alone
5x is an integer
For x=1/5, 5x is an integer (x is not an integer)
For x=1, 5x is an integer (x is an integer)
Hence we can't answer the question from Statement 1 with a definite 'yes' or 'no'
From statement 2 alone
for x= 1, \(\frac{5}{x}\) is an integer (x is an integer)
for x=1/5, \(\frac{5}{x}\) is an integer (x is not an integer)
Hence we can't answer the question from Statement 2 with a definite 'yes' or 'no'
Combining both statements
If x=1, then 5x is an integer and 5/x is also an integer (x is an integer)
if x=1/5, then 5x is an integer and 5/x is also an integer (x is not an integer)
Even by combining both the statements, we cannot answer the question with a definite 'yes' or 'no'
Answer E
5x is an integer
For x=1/5, 5x is an integer (x is not an integer)
For x=1, 5x is an integer (x is an integer)
Hence we can't answer the question from Statement 1 with a definite 'yes' or 'no'
From statement 2 alone
for x= 1, \(\frac{5}{x}\) is an integer (x is an integer)
for x=1/5, \(\frac{5}{x}\) is an integer (x is not an integer)
Hence we can't answer the question from Statement 2 with a definite 'yes' or 'no'
Combining both statements
If x=1, then 5x is an integer and 5/x is also an integer (x is an integer)
if x=1/5, then 5x is an integer and 5/x is also an integer (x is not an integer)
Even by combining both the statements, we cannot answer the question with a definite 'yes' or 'no'
Answer E
