Is f

Question

Is f < g?

(1) f < g + 1
(2) |f|/|g| < 1

abhimahna · Answer

Answer should be C.

Statement 1 : f < g+1.

Say f = -3 and g = -3, we will have -3 < -3+1 or -3<-2 BUT -3 is not less than -3. Hence, Insufficient.

For +ve , it will be satisfied.

Statement 2 : |f| < |g|

or say f = -2 and g = -3, we have |f| < |g| BUT f is not less than g.

For +ve , it will be satisfied.

Combining, now we need to take only +ve numbers for both Statement 1 and 2 be satisfied.

Hence, we will always get f<g. Sufficient.

MarkusKarl · Answer

(1) the difference between f and g could be less than 1, thus we cannot determinate if f < g.
(2) abs of f is smaller than abs of g. f could be positive 2 and g could be -3 or 3. Ns.

(1+2)
not sufficient.
F = 10 g= 12 => fF=,3 g=-,6 f>g

Any other approaches for 1+2?

Ill Go with E
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nipunjain14 · Answer

Statement 1 : f<g+1
For this equation lets take following values of f & g and test if f < g
f = 2 g = 2 f is not less than g
f = 2 g = 3 f i s less than g

Insufficient

Statement 2: 
|f|/|g| <1
this means |g|>|f|
In sufficient

1+2 statements;

f< g 
sufficient

abhimahna · Answer

With your example,

F=,3 g=-,6 --> Statement 1 is not getting satisfied. Hence, this example is invalid.

MarkusKarl · Answer

-,6+1=,4>,3

What am I missing? :/

abhimahna · Answer

You have taken f = 3 and g =-6.

Statement 1 says f < g+1.

as per your example, we are getting 3 < -6+1

or 3<-5 which is NOT true. hence, its an invalid example.

MarkusKarl · Answer

I could have been clearer.
F=0.3
G=-0.6

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abhimahna · Answer

Yes, I believe I missed this condition. yes, you are right. Answer should be E. Thanks Mate.

MarkusKarl · Answer

My bad for not writing the numbers properly

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viksingh15 · Answer

Q: is f-g < 0 1) f < g+1 => f-g<1, not sufficient. 2) |f| / |g| < 1, that means |g| > |f|, not sufficient as g can be -4 and f can -3 => f>g 1 + 2, f < g +1 |f| < |g| that means g has to be +2 > f so that above two statments work answer is C

startjumprun · Answer

Bunuel , Sir, Please guide. According to me the answer is C...I donot understand how is OA E?

Bunuel · Answer

Why do you think the answer is C? How did you get it? If you check the discussion above you'll find the examples proving that the answer is indeed E.

If f = 0.3 and g = -0.6, then the answer is NO.
If f = 1 and g = 2, then the answer is YES.

startjumprun · Answer

Thanks a lot Bunuel Sir for your time and explanation

I missed to take into account decimals.. Will be careful next time.

ScottTargetTestPrep · Answer

We need to determine whether f < g.

Statement One Alone:

f < g + 1

Statement one alone is not sufficient to answer the question. For instance, if f = 2 and g = 2, then f IS NOT less than g. However, if f = 1 and g = 2, then f IS less than g.

Statement Two Alone:

|f|/|g| < 1

We can multiply both sides of the inequality by |g| to get:

|f| < |g|

We can also determine that statement two alone is not sufficient to answer the question.

For instance, if f = -1 and g = -2, then f IS NOT less than g. However, if f = 1 and g = 2, then f IS less than g.

Statements One and Two Together:

Using the information from statements one and two, we know that f < g + 1 and that |f| < |g|. This is still not enough information to answer the question.

For instance, if f = -1 and g = -1.75, then f IS NOT less than g. However, if f = 1 and g = 2, then f IS less than g.

Answer: E

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Is f < g?

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