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What are the values of p and q ? I p a...

What are the values of p and q ?
I p and q are positive integers such that `(p+q)/(2) lt 2p and pq=30`
II p and q are Integers that differ by 1 and pq=30

A

If the question can be answered using one of the statements alone, but cannot be answered using the other statement alone.

B

If the question can be answered using either statement alone.

C

If the questions can be answered using I and II together but not using I or II alone

D

If the question cannot be answered even using I and II together.

Text Solution

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The correct Answer is:
D

From statement I, we have `(p+q)/(2) lt 2p rArr q lt 3p and p,q=30` which implies (30,1), (15,2), (6,5) and (5,6) all are possible values of p,q. Hence we cannot find unique value of p and q.
Statement II alone is also not sufficient as p and q may be possitive or negative.
Thus the uniqe values of p,q cannot be found.
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