amitpassionate wrote:

Something wrong here !

P can be equal to 30 but can not be greater than 30... Inconclusive ... Ans should be E

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NO....

The minimum value of P is 30, so P has to be greater than or equal to 30..

**Quote:**

If p ≤ q ≤ r ≤ s, is p ≥ 30 ?

(1) p + q + r + s = 150

(2) 4p ≥ 3s

(1) p + q + r + s = 150

all 4 can have various combination possible..

35+35+40+40=150....p>30

25+35+40+50=150...p<30

insuff..

(2) 4p ≥ 3s

p could be 20, 30,50,..

insuff

combined..

take least value of p as \(\frac{3s}{4}\) AND all other three are equal..so \(\frac{3s}{4}+s+s+s=150......\frac{15s}{4}=150...s=40\)

so \(p = \frac{3s}{4}=\frac{3*40}{4}=30\)

so least value of p is 30, hence p ≥ 30

suff

C

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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