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# In a survey on the economic outlook for the coming year,

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In a survey on the economic outlook for the coming year, [#permalink]

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25 Aug 2006, 03:52
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In a survey on the economic outlook for the coming year, each of 500 local companies were asked whether it intended to expand its current workforce, whether it expected to increase revenues, and whether it would be spending more on marketing. 26% responded negatively to all three questions, whereas 60% responded affirmatively to only one of the three questions. Of the companies that responded affirmatively to at least two questions, did more than half respond affirmatively to all three?

(1) 50 companies said they would both increase revenues and spend more on marketing.
(2) 50 companies said they would both expand their current workforces and spend more on marketing.

Last edited by kevincan on 25 Aug 2006, 10:53, edited 2 times in total.
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25 Aug 2006, 05:04
It should be D...

None : 130
Only One : 300

Remaining : 170

So both A and B are suff....
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25 Aug 2006, 10:25
sumitsarkar82 wrote:
It should be D...

None : 130
Only One : 300

Remaining : 170

So both A and B are suff....

Remaining = 500 - (130+300) = 70 and not 170!

none = 26%
only 1 = 60%
at least 2 = exactly 2 + exactly 3
= 100 - (60 + 26) = 14%

(1) -> revenue & marketing = 100 = 20% .. no info abt current workforce .. INSUFF
(2) -> current workforce and marketing = 70 = 14% .. no info abt revenue.. INSUFF

what I don't understand is how the %age of at least 2 (14%) is <= (1) or (2) .. are the values in the qn correct pls ?
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25 Aug 2006, 12:27
.... to cont. after the q got corrected
at least 2 = 14%
at least 2 = AB + BC + AC - 2ABC
(1) -> AC = 10
(2) -> BC = 10
I think each individually is still INSUFF
even taking (1) + (2) together, I get
14 = 10 + 10 + AB - 2ABC
Only 1 eqn and 2 unknowns. Hence, INSUFF

Any OE pls ?
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Prashrash.

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26 Aug 2006, 05:43
I am in the dark here ...we need to find out if more than half of a remainder responded afirmitive to all three...

we know that 14% of 500 is 70

50 responded affirmative to ac
50 to bc with an

100-70 is 30, this is the number of people who responded affirmative to all three i think.

this means that the two together can give us the information we need to answer the question...no?
26 Aug 2006, 05:43
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