Find F/|G| if F and G are nonzero integers. (1) |F|=|G| (2)

Question

Find F/|G| if F and G are nonzero integers.

(1) |F|=|G|
(2) G = |F|

GMATPsycho · Answer

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GMATPsycho · Answer

Can somebody help me on this one before I decide to :wall

tapan22 · Answer

I would go with E.

We need to find F/|G|

St1: |F| = |G| ---> This tells us the numeric values are equal.

Hence F/|G| = 1 or -1 ----> Depends on whether F is -ve or +ve since |G| is always +ve
InSUFF.

St2: G = |F| ---> Tells us that G is +ve and numerically equal to F

But still no information on whether F is +ve or -ve

From St1: and St2:

We get G = |G| i.e. G is +ve again no info on F---Insuff

So Ans is E.

tl372 · Answer

E also.

St. 1 - Insuff

There are 4 cases:
1) F is pos., G is pos --> Answer is 1
2) F is neg., G is neg --> Answer is -1
3) F is pos., G is neg --> Answer is 1
4) F is neg., G is pos--> Answer is -1

Answer can be -1 or +1. Insufficient

St. 2 - Insuff

There are 2 case since G is always positive:
1) F is pos., G is pos--> Answer is 1
2) F is neg., G is pos--> Answer is -1

Answer can be -1 or +1, Insuff.

Together: Still insufficient. The two cases in St. 2 still apply to St. 1. Not enough information to determine what the answer it.

Professor · Answer

from i and ii, g is +ve but f could be +ve or -ve. so it could be -1 or +1.

therefore, E.

indeed, its a standard gmat question.........

ps_dahiya · Answer

E it is.

(1) |F|=|G|

Possible sets of (F,G) are
(5,5) -----> 1
(5,-5) -----> 1
(-5,5) -----> -1
(-5,-5) -----> -1
INSUFF

(2) G = |F|

Possible sets of (F,G) are
(5,5) -----> 1
(-5,5) -----> -1
INSUFF

Combined:

Possible sets of (F,G) are
(5,5) -----> 1
(-5,5) -----> -1
INSUFF

jaynayak · Answer

Will go with E.

1) |F| =|G|

Lets F = -3 and G =3, F/|G = -1
Lets F =3 and G = 3, F/|G| = 1
Not Suff

2) G = |F|
Let F =-1, G =1 and F/|G| = -1
Let F = 1, G =1 and F/|G| = 1
Not suff

Together

G = |G|, that is G is a positive number but we stilldont know anything about F 

Hence not suff and E

Find F/|G| if F and G are nonzero integers. (1) |F|=|G| (2)

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