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# If x is an integer, is x even?

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Director
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
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If x is an integer, is x even? [#permalink]

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14 Jan 2017, 15:15
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Difficulty:

45% (medium)

Question Stats:

50% (00:40) correct 50% (00:38) wrong based on 135 sessions

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If x is an integer, is x even?

(1) $$-1\leq{x}\leq{1}$$

(2) If x is the units digit of a number, that number is divisible by both 5 and 10.

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Md. Abdur Rakib

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Re: If x is an integer, is x even? [#permalink]

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14 Jan 2017, 17:38
If x is an integer, is x even?

(1) $$-1\leq{x}\leq{1}$$

X could be 1 or -1...................Answer is No

X could be 0...........................Answer is yes

Insufficient

(2) If x is the units digit of a number, that number is divisible by both 5 and 10.

As long as a number is divisible by 10 so its unit digit must be 0. Then, x is 0.. I means x is even

Sufficient

Senior Manager
Joined: 25 Mar 2013
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Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: If x is an integer, is x even? [#permalink]

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23 Jan 2017, 11:03
My solution :
1, x >/ -1 x</ 1
x = -1,0,1
From this only even value of x = 0
2, x = units digit
x = 0 which is divisible by 5 and 10
D
Why am I wrong?
I missing some basic DS strategy? Pls help. thanks
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Manager
Joined: 04 May 2014
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Re: If x is an integer, is x even? [#permalink]

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03 Aug 2017, 22:55
-1≤x≤1 means x can have value of -1, 0 and 1 and not just 0.( symbol ≤ means greater or equal to)
-1<x<1 means x has value greater than -1 but less than 1(not equal to) the only value is 0 In this case statement is sufficient.

kanusha wrote:
My solution :
1, x >/ -1 x</ 1
x = -1,0,1
From this only even value of x = 0
2, x = units digit
x = 0 which is divisible by 5 and 10
D
Why am I wrong?
I missing some basic DS strategy? Pls help. thanks
Re: If x is an integer, is x even?   [#permalink] 03 Aug 2017, 22:55
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