Hi,

Answer should be “D”.

Question: Is 3^x > x/|x| ?

This is a YES-NO DS question.

Before moving onto the question, always analyse the given question stem.

If “x” is a positive integer, then answer to the question would be YES. Because 3 raised to a power(Integer) always a greater value than 1(Right hand side).

Example: 3 ^10 > 10 /|10| = 3^10 > 1

If “x” is a negative value, then answer to the question would be YES. Because 3 raised to a power of negative value brings the value to the denominator(1/3^x) which is a positive number and right

hand side is a negative value(-1)

If “x” is a fraction, then it depends on the what fraction it is, So answer could be either YES or NO. Because 3 raised to a fractional power maybe equal to or greater than 1.

So, now let’s look at what statements have to offer.

Statement I is sufficient:

|x| = 3

x = +3 / -3

For both x = 3 and -3

3^x is greater than x/|x|

Answer to the question would be YES.

Sufficient.

Statement II is sufficient:

x < 0

As we did the analysis above, if “x” is a negative value then answer to the question would be YES. Because right hand side value of the question is a negative(-1) and left hand side would be positive number.

Sufficient.

So the answer is D.

Hope it helps.

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