Is g+h > 3.6?

1) Insufficient because we know nothing about \(h\)
2) Insufficient because we know nothing about \(g\)

1+2) From two statements \(g+h\) can be less than \(3.6\) if we take minimal values: \(1.6121+1.9871= 3,5992\) or it can be more if we take \(1.7+2.8=4.5\)

And answer is E
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The statement alone is not enough, we will need information about both g and h to determine sufficiency.

1) only have information on g - not sufficient.
2) only have information on h - not sufficient.

Together: We have information on both so that is good. But we still cannot give a definitive yes or no answer because we still have an answer possible on either side of the argument as shown below.

Taking the obvious low values of g=1.613 and h=1.988 we get: 1.613+1.988=3.601 which would tell us that yes g+h>3.6.

BUT BE CAREFUL, there is an infinite number of values lower than 1.613 and 1.612 as well with 1.988 and 1.987

Taking another example of low values where g=1.6121 and h=1.9871 we get 1.6121+1.9871=3.5992 which would tell us that g+h<3.6 and thus a no to the original question.

Since neither of the answers alone and both together to do not provide sufficient information to answer the question select answer choice E.

clearly any of the statement alone is not enough.
Lets consider minimum possible value for both g and h
If g=1.6121 and h=1.9871 then g+h=3.5992 so here g+h <3.6

But if i take g=1.613 and h= 1.988 then g+h= 3.601 so here g+h>3.6

Hence even both statement cant give answer.
Answer is E

VERITAS PREP OFFICIAL SOLUTION:

Solution: E

Statements (1) and (2) each only tell us about one variable, so neither statement is sufficient on its own. Combined, g+h is greater than the sum of the minimum values of the two variables, so g+h > 3.599. g+h could be 3.7, which is greater than 3.6, or 3.5991, which is not; (E).
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Sol- 1) clearly insuff
2) insuff
so from 1 and 2
lets take g= 1.6121 and h= 1.9871
g+h = 3.5992 <3.6

now, lets take g= 1.613 and h =1.988
g+h = 3.601 >3.6

answer (E)

from 1 and 2, we cannot tell anything

add these 2 inequalities to get

3.599 < g+h < 4.521

Yes and No

E
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1+2 will get 3.599< g+h < 4.521.

Although, we get to know g+h > 3.599, it does not really tell if g+h >3.6 or not. It may or may not be.

Answer E