Venn Diagrams MCQs for UPSC Prelims

In a party, 75 persons took tea, 60 persons took coffee and 15 persons took both tea and coffee. No one taking milk takes tea. Each person takes at least one drink. Question: How many persons attended the party? Statement-1: 50 persons took milk. Statement-2: Number of persons who attended the party is five times the number of persons who took milk only. Which one of the following is correct in respect of the above Question and the Statements?

1. A The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
2. B The Question can be answered by using either Statement alone.
3. C The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
4. D The Question cannot be answered even by using both the Statements together.

In the figure, four overlapping circles are drawn with numbered regions. Circle P represents hardworking people, circle Q represents intelligent people, circle R represents truthful people, and circle S represents honest people. Which region represents the people who are intelligent, honest and truthful but not hardworking? (Note: this is a non-verbal Venn-diagram item; the numbered regions correspond to the various overlaps of circles P, Q, R and S.)

1. A 6
2. B 7
3. C 8
4. D 11

In a group of six women there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to play on the violin. Shailaja and Tanuja are among the dancers. Jalaja, Vanaja, Shailaja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is certainly a dancer and a violinist?

1. A Jalaja
2. B Pooja
3. C Shailaja
4. D Tanuja

In a conference, out of a total 100 participants, 70 are Indians. If 60 of the total participants are vegetarian, then which of the following statements is/are correct? 1. At least 30 Indian participants are vegetarian. 2. At least 10 Indian participants are non-vegetarian. Select the correct answer using the codes given below:

1. A 1 only
2. B 2 only
3. C Both 1 and 2
4. D Neither 1 nor 2

All members of a club went to Mumbai and stayed in a hotel. On the first day, 80% went for shopping and 50% went for sightseeing, whereas 10% took rest in the hotel. Which of the following conclusion(s) can be drawn from the above data? 1. 40% members went for shopping as well as sightseeing. 2. 20% members went for only shopping. Select the correct answer using the code given below:

1. A 1 only
2. B 2 only
3. C Both 1 and 2
4. D Neither 1 nor 2

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct?

1. A All the villagers who have their own houses are literate.
2. B Some villagers under 25 years of age are literate.
3. C Only half of the villagers who cultivate paddy are literate.
4. D No villager under 25 years of age has his own house.

In a group of six women, there are four tennis players, four postgraduates in Sociology, one postgraduate in Commerce and three bank employees. Vimala and Kamla are the bank employees while Amala and Komala are unemployed. Komala and Nirmala are among the tennis players. Amala, Kamla, Komala and Nirmala are postgraduates in Sociology of whom two are bank employees. If Shyamala is a postgraduate in Commerce, who among the following is both a tennis player and a bank employee?

1. A Amala
2. B Komala
3. C Nirmala
4. D Shyamala

The number of persons who read magazine X only is thrice the number of persons who read magazine Y. The number of persons who read magazine Y only is thrice the number of persons who read magazine X. Then, which of the following conclusions can be drawn? 1. The number of persons who read both the magazines is twice the number of persons who read only magazine X. 2. The total number of persons who read either one magazine or both the magazines is twice the number of persons who read both the magazines. Select the correct answer using the code given below:

1. A 1 only
2. B 2 only
3. C Both 1 and 2
4. D Neither 1 nor 2