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Is x an integer?

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chetan2u
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Is x an integer? [#permalink] New post   17 Aug 2018, 23:47
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Is x an integer?
(1) 7x is an integer
(2) x \(\neq{\frac{1}{7}}\)

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E
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saurabh9gupta
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Re: Is x an integer? [#permalink] New post   17 Aug 2018, 23:53
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Is x an integer?
(1) 7x is an integer
(2) x ≠17

Ok so i find these questions a bit tricky..

Here is my take-

1. As per this, if x =1/7.. then 7x is an integer but x is not an integer.

X can be 2 then 7x and x both are integer

NS

2. x=1/7

Ns as x can be anything but 1/7

Reject ADB

Now combining...

What if x = -1/7

Then x is not an integer but 7x is integer



So E

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Re: Is x an integer? [#permalink] New post   18 Aug 2018, 00:07
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chetan2u wrote:
Is x an integer?
(1) 7x is an integer
(2) x \(\neq{\frac{1}{7}}\)

New question!!!..


Question stem:- Is x an integer?

St1:- 7x is an integer

Possibilities of x:- 'Integer(Such as -1,1,0 etc.), rational numbers(such as -1/7,1/7 etc or any number with 7 in denominator)
No unique value of x.
Insufficient.

St2:- x \(\neq{\frac{1}{7}}\)
Possibilities of x:- 'Integer(Such as -1,1,0 etc.), rational numbers(such as -1/2,1/2 etc except 1/7)
No unique value of x.
Insufficient.

Combined, x can be integers and fractions too.
Insufficient.

Ans. (E)
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Re: Is x an integer? [#permalink] New post   19 Aug 2018, 00:30
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chetan2u wrote:
Is x an integer?
(1) 7x is an integer
(2) x \(\neq{\frac{1}{7}}\)

New question!!!..


From 1:
X can be 1,2,3,4 or 1/7 or -(1/7)
Hence NS

From 2:
X is not 1/7 but X can be 1,2,3,-4,-5 or X can be -(1/7)
NS

1+2
NS

Ans: E
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Re: Is x an integer? [#permalink] New post   17 Aug 2018, 23:55
Statement 1 is clearly insufficient as x can assume a range of values.

Statement 2, is also insufficient, for the same reason. x = integer or any other fraction.

Combining statement 1 and 2, x can be an integer or any fraction again. Thus, both statements together are insufficient.

Hence, E.

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Re: Is x an integer? [#permalink] New post   18 Aug 2018, 01:54
chetan2u wrote:
Is x an integer?
(1) 7x is an integer
(2) x \(\neq{\frac{1}{7}}\)

New question!!!..

1=> x can be 2,3,4 etc meaning 7x is an integer so x is an integer
x can be 1/7, 2/7,3/7 etc meaning 7x is an integer so x is not an integer

1 is not sufficient

2 => x \(\neq{\frac{1}{7}}\) x can be 2,3,4 or 2/7,3/7 etc

2 is not sufficent

Both 1 and 2 are insufficient

Hence the Answer is E.
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Re: Is x an integer? [#permalink] New post   14 Oct 2023, 05:39
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Re: Is x an integer? [#permalink]
14 Oct 2023, 05:39
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