In the Venn diagram shown here, the triangle represents ‘students’, the circle represents ‘diploma holders’ and the quadrilateral represents ‘graduates’. The numbers given in the diagram represents number of persons of that particularcategory.

How many students are diploma holders but NOT graduates?

In the following figure, square represents Optometrists, triangle represents Painters, circle represents Vegetarians and rectangle represents Men. Which set of letters represents painters who are either men or vegetarians?

In the following figure, square represents athletes, triangle represents engineers, circle represents fathers and rectangle represents entrepreneurs. Which set of letters represents athletes who are either entrepreneurs or fathers?

In the given Venn diagram, the hexagon represents ‘farmers’, the circle represents ‘beneficiaries’ and the square represents ‘land-owners’. The numbers given in the diagram represent the number of persons in that particular category.

How many farmers are both land-owners and beneficiaries?

In the following figure, square represents Pharmacists, triangle represents singers, circle represents Surgeons and rectangle represents Mothers. Which set of letters represents Surgeons who are either mother or singers?

In the given Venn diagram, the ‘ rectangle ’ represents ‘ ladies of a club’ , the ‘ triangle ’ represents ‘like to dance’ , the ‘ circle ’ represents ‘ like to sing’ and the ‘ pentagon ’ represents ‘ like to mimic’ . The numbers given in the diagram represents the number of persons in that particular category.

How many ladies of the club NEITHER like to dance NOR like to mimic?

Among 160 players in a tournament, 57 did not participate in any of the three games, i.e. Cricket, Hockey and Badminton. A total of 37 players participated in only one game, 10 players participated in both Cricket and Hockey but not in Badminton, 9 players participated in both Hockey and Badminton but not in Cricket, and 13 players participated in both Cricket and Badminton but not in Hockey. How many players participated in all the three games?

In a class of 100 students, every student has passed in one or more of the three subjects, i.e History, Economics and English. Among all the student, 24 students have passed in English only, 14 students have passed in History only 11 students have passed in both English and Economics only, and 12 students have passed in both English and History only. A total of 50 students have passed in History. If only 5 students have passed in all three subjects, then how many students have passed in Economies only?

In a group of 73 friends, 14 friends go to Gym and Karate classes both, whereas 7 friends neither go to Gym class nor to Karate class. If a total of 36 friends go to Gym class, then how many friends go to only Karate class?

In an examination 20% students failed in Mathematics and 15% failed in English. If 10% failed in both and those who passed in both numbered 300, then the total number of students who appeared in the examination was

In the following diagram, the 'circle' stands for 'soldiers', the 'square' stands for 'Indians', and the 'triangle' stands for 'singers'. The numbers given in the different segments represent persons belonging to that category.

Which category is represented by the number '5'?

In the following diagram, the circle stands for 'policemen', the square stands for 'sportspersons' and the 'triangle' stands for 'tax-payers' the numbers given in the different segments represent the number of persons in that category.

How many policemen are tax-payers but are NOT sportspersons?