$$Is\ \ \frac{x}{3}<x\ ?$$
$$\left(1\right)\ \ x<\ 0$$
$$(2)\ \ x\ \ does\ \ not\ \ equal\ -1.$$
The OA is A.
I need help to solve this DS question. Please, can any expert explain it for me? Thanks.
is x/3 < x ?
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A rephrase is helpful here.LUANDATO wrote:$$Is\ \ \frac{x}{3}<x\ ?$$
$$\left(1\right)\ \ x<\ 0$$
$$(2)\ \ x\ \ does\ \ not\ \ equal\ -1.$$
The OA is A.
I need help to solve this DS question. Please, can any expert explain it for me? Thanks.
Start by multiplying both sides of the inequality in question by 3. " Is x/3 < x?", becomes
Is x < 3x?
Subtract 'x' from both sides
Is 0 < 2x?
Divide both sides by 2
Is 0 < x?
Statement 1: Well if x < 0, we know it's not greater than 0, so this statement alone is sufficient.
Statement 2: Clearly not sufficient. x could be -10 or 10, etc.
The answer is A
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Hi LUANDATO,
We're asked if X/3 is less than X. This is a YES/NO question and we can solve it with a mix of Number Property Rules and by TESTing VALUES.
1) X < 0
Fact 1 tells us that X is NEGATIVE. When dividing a negative number by 3, the result is ALWAYS CLOSER to 0 than X is. For example:
IF...
X = -3, then (-3)/3 = -1 and -1 is closer to zero than -3 is... so the answer to the question is NO.
This pattern exists with ANY negative number, so the answer to the question is ALWAYS NO.
Fact 1 is SUFFICIENT
2) X does NOT equal -1
IF...
X = -3, then (-3)/3 = -1 and -1 is closer to 0 than -3 is... so the answer to the question is NO.
X = 3, then 3/3 = 1... so the answer to the question is YES.
Fact 2 is INSUFFICIENT
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
We're asked if X/3 is less than X. This is a YES/NO question and we can solve it with a mix of Number Property Rules and by TESTing VALUES.
1) X < 0
Fact 1 tells us that X is NEGATIVE. When dividing a negative number by 3, the result is ALWAYS CLOSER to 0 than X is. For example:
IF...
X = -3, then (-3)/3 = -1 and -1 is closer to zero than -3 is... so the answer to the question is NO.
This pattern exists with ANY negative number, so the answer to the question is ALWAYS NO.
Fact 1 is SUFFICIENT
2) X does NOT equal -1
IF...
X = -3, then (-3)/3 = -1 and -1 is closer to 0 than -3 is... so the answer to the question is NO.
X = 3, then 3/3 = 1... so the answer to the question is YES.
Fact 2 is INSUFFICIENT
Final Answer: A
GMAT assassins aren't born, they're made,
Rich