venn

[ketkoag]

Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?
(1) last year 12 of the 30 businesses
reported a net profit and had investments
in foreign markets.
(2) last year 24 of the 30 businesses
reported a net profit or invested in
foreign markets, or both.

OA: B why?
My ans: D
By statement 1 we can solve the question. (aUb) = n(a) + n(b) -(common in both a nd b).
Where n(aUb) is no. of businesses reported net profit or invested in
foreign markets, or both. sufficient..
Please explain.. why not if its wrong.

[scoobydooby]

am getting D as well.


stmnt 1) used a 2x2 matrix to arrange the data.
refer to attachment
sufficient

stment 2) when translated into equation and solved ends up as identical to stmnt 1.

Net profit+ foreign inv-both net profit and foreign investments=24
=>21+15-both net profit and foreign inv=24
=>both net profit and foreign inv=12. same info as stment 1.
hence sufficient.

[rs2010]

I am also getting D.

OA is incorrect simple