In the year 222 B.C. 100 CAT aspirants appeared in CAT- (Common Admission Test for MBA in some prestigious institutions.) They had to show their competency in all the following four areas viz-Maths, Data Interpretation (DI), Logical Reasoning (LR) and English.
Number of aspirants who had qualified Maths is 55.
Number of aspirants who had qualified LR is 38
Number of aspirants who had qualified Maths and English is 30.
Number of aspirants who had qualified LR and English is 15.
Number of aspirants who had qualified Maths and LR is 20.
Number of aspiration who had qualified Maths, L.R and English is 5.
Number of aspirants who had qualified DI is 22.
Number of aspirants who had qualified DI and LR is 5.
Number of aspirants who had qualified DI and Maths is 5.
Number of aspirants who had qualified DI maths LR is 5.
Number of aspirants who had qualified English is 50.
Number of aspirants who had qualified English could not qualify DI section.
Find the number of aspirants who had qualified none of the sections