Is (3x + 8)/(x + 2) an integer?

Question

(1) x is an integer 
(2) x = 0

mvictor · Answer

the answer is B.
let's start with the easiest statement.
2. x=0. that means 8/2 = 4 - integer. so statement 1 is sufficient. A, C, E are out right away.

now..statement 1.
x is an integer.
suppose x=1.
3+8=11.
1+2=3.
11/3 = non-integer.

suppose x=0 (satisfies the condition)
8/2 = 4. - integer

since statement 1 can yield two different outcomes, A is insufficient, and we can cross D.

the only answer left is B.

nailin16 · Answer

B
On simplifying we get 3 + 2/(× + 2)
Statement 1
3 plus something ,and this something isn't an integer for all x
Statement 2
When x=0
3+ 2/2=4
So B

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Mo2men · Answer

Is (3x + 8)/(x + 2) an integer? 
 
(1) x is an integer 
 Put x =0...........8/2 =4 ...........Yes

Put x=1.............11/3=non Integer..........No

Insufficient

(2) x = 0

From above example. it is Yes.

Sufficient

Answer: B

Gladiator59 · Answer

For the fraction to be an integer : either the denominator should be 1 or denominator should evenly divide the numerator.

(1)  Not sufficient  as for x = 1 the denominator does not evenly divide the numerator. 11/3. But for x = 0 it is an integer.

(2)  Sufficient  At x = 0, the fraction becomes 8/2 = 4. Hence always an integer.

Hence Option (B) is our choice.

Best,
Gladi

Kaczet · Answer

1) 
3x+8=x+2 => 2x = -6 => x = -3.  \frac{-1}{-1}  YES.
check x=1 =>  \frac{11}{3}  NO.

2) clearly sufficient

dollytaneja51 · Answer

Statement 1 : Since x is an integer, it can be any number positive or negative. 
If x =5, then 23/5 is not an integer
If x = 0, then 8/2 is an integer

Therefore, not sufficient

Statement 2: x = 0 which gives us 8/2 = 4 is an integer... Sufficient

B is the answer here

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Is (3x + 8)/(x + 2) an integer?

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