After a successful T20 cricket tournament, Indian Premier League (IPL) is interested in launching a new variant of One Day International cricket called T40 (forty overs a side game). Indian Cricket League (ICL, a rival league of IPL) also has similar thoughts. An independent agency conducted a survey of 1000 respondents to determine the consumer preference of IPL versus ICL, and preference of T20 versus T40. Unfortunately, some of the survey information is lost. Following information is available:

[JMET 2009]

Question 1:
Determine the number of respondents who prefer both T20 and ICL.

(1) 640(2) 60
(3) 50(4) 140

Solution:
Constructing the Venn diagram based on the given information, we have from the given statements:


Completing the above grid, we have:


Respondents preferring T20 and ICL = 6%, i.e. a total of 60 respondents
Hence, option 2.

Question 2:
Determine the number of respondents who prefer both T40 and IPL.

(1) 160(2) 60
(3) 640(4) 140

Solution:
Respondents preferring T40 and IPL = 16%, i.e. a total of 160 respondents
Hence, option 1.