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by pbahugun » Sat Feb 19, 2011 2:01 am
If 4 percent of (p + q) is 8 and p is a positive integer, what is the greatest possible value of q?
(A) 196 (B) 197 (C) 198 (D) 199 (E) 200

Ans D
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by pbahugun » Sat Feb 19, 2011 2:04 am
I want to know y the ans is not E as no where in the question it is written that q is non zero. It is understandable that q can never be negative as the condition for p is : p>0.

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by GMATGuruNY » Sat Feb 19, 2011 4:42 am
pbahugun wrote:If 4 percent of (p + q) is 8 and p is a positive integer, what is the greatest possible value of q?
(A) 196 (B) 197 (C) 198 (D) 199 (E) 200

Ans D
Plug in the greatest value given for q.

Answer choice E: q=200.
4/100*(p+200) = 8.
p+200 = 8(100/4).
p+200 = 200.
p=0.
Since p>0, q=200 is too big.

Eliminate E. The correct answer is D (the next largest answer choice).
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by sanju09 » Sat Feb 19, 2011 5:03 am
pbahugun wrote:If 4 percent of (p + q) is 8 and p is a positive integer, what is the greatest possible value of q?
(A) 196 (B) 197 (C) 198 (D) 199 (E) 200

Ans D
If 4 percent of (p + q) is 8, then p + q = 200, and for the greatest possible value of q, we must choose the least possible value of p, which is a positive integer too. The least possible value of p is therefore 1, which gives the greatest possible value of q as [spoiler]199


D[/spoiler]
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