P and Q have few marbles. How many marbles does P have?

Question

(1) P has 10 marbles greater than what Q has.
(2) If P gives away 10 marbles to Q, he will have 10 marbles less than what Q has.

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Dereno · Answer

P and Q has a few number of marbles.

P = ?

Statement 1:

P has 10 marbles greater than what Q has.

P = Q +10

Hence, Insufficient

Statement 2:

(2) If P gives away 10 marbles to Q, he will have 10 marbles less than what Q has.

P-10 = P’

Q+10 = Q’

P’ = Q’ -10 = (Q+10)-10 = Q

P-10 = Q

P = Q +10

Hence insufficient.

Combining statements 1 and 2,  we have an equation P = Q+10 . Where Q can take multiple values.

Hence, we can’t get a concrete value.  Insufficient

Option E

ManifestDreamMBA · Answer

P=?

S1
P has 10 marbles greater than what Q has.
P=Q+10
We don't know Q to calculate P
Insufficient

S2 
If P gives away 10 marbles to Q, he will have 10 marbles less than what Q has.
P-10=Q+10-10
P=Q+10
We don't know Q to calculate P
Insufficient

Combining, we get no new info. Answer E

poojaarora1818 · Answer

Solution:

(1) P has 10 marbles greater than what Q has. Insufficient

P = Q + 10

(2) If P gives away 10 marbles to Q, he will have 10 marbles less than what Q has. Insufficient

P - 10 = Q + 10

Combining both statements, we won't get a conclusive answer
 
Q + 10 -10 = Q + 10

Hence, Option E

Souradeep17 · Answer

we need to find total marbles P+Q has.
1. P has 10 marbles more than Q
So, P=Q+10
total marbles =Q+Q+10
We don't know about the marbles Q has no not sufficient

2. IF P gives away 10 to Q he will have less than what Q has .
This means the difference between them is less than 20
P-Q<20 from here we can't say the total amount of marbles hence not sufficient

(1)+(2) together ->
P=Q+10
P-Q<20
Though both the options are kind of pointing to the same thing, but from here also we can't say anything about the individual number of marbles hence i would choose option (E)

P and Q have few marbles. How many marbles does P have?

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GMAT Data Sufficiency (DS) Questions

P and Q have few marbles. How many marbles does P have?

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