Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 528 · 40 questions

How to think it through (Middle first): Put “both” in the overlap. Only A = A − both; only B = B − both; at least one = A + B − both. Neither = total − at least one; exactly one = only A + only B.

1. 1.In a group of 42 children, 14 like mangoes, 28 like bananas and 9 like both. How many like only mangoes?
2. 2.In a group of 19 children, 7 play chess, 12 play carrom and 4 play both. How many play at least one of the two?
3. 3.In a group of 39 children, 23 play cricket, 16 play football and 8 play both. How many play only football?
4. 4.In a group of 50 grown-ups, 22 drink tea, 29 drink coffee and 9 drink both. How many drink at least one of the two?
5. 5.In a group of 37 children, 13 play chess, 17 play carrom and 7 play both. How many play exactly one of the two?
6. 6.In a group of 36 children, 9 enjoy drawing, 25 enjoy dancing and 5 enjoy both. How many enjoy exactly one of the two?
7. 7.In a group of 39 children, 15 like mangoes, 15 like bananas and 6 like both. How many like at least one of the two?
8. 8.In a group of 35 children, 25 play chess, 10 play carrom and 5 play both. How many play at least one of the two?
9. 9.In a group of 39 children, 26 play chess, 22 play carrom and 12 play both. How many play exactly one of the two?
10. 10.In a group of 28 children, 6 play chess, 17 play carrom and 3 play both. How many play only chess?
11. 11.In a group of 46 grown-ups, 16 drink tea, 24 drink coffee and 4 drink both. How many drink neither of the two?
12. 12.In a group of 45 children, 20 play cricket, 22 play football and 9 play both. How many play at least one of the two?
13. 13.In a group of 42 children, 19 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing exactly one of the two?
14. 14.In a group of 49 children, 28 enjoy drawing, 25 enjoy dancing and 9 enjoy both. How many enjoy only drawing?
15. 15.In a group of 34 children, 10 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing exactly one of the two?
16. 16.In a group of 23 children, 13 sing Hindi songs, 14 sing English songs and 9 sing both. How many sing neither of the two?
17. 17.In a group of 52 children, 25 play chess, 20 play carrom and 7 play both. How many play only carrom?
18. 18.In a group of 37 children, 22 sing Hindi songs, 24 sing English songs and 10 sing both. How many sing exactly one of the two?
19. 19.In a group of 27 children, 22 play chess, 15 play carrom and 11 play both. How many play at least one of the two?
20. 20.In a group of 32 children, 14 like mangoes, 11 like bananas and 5 like both. How many like only mangoes?
21. 21.In a group of 39 grown-ups, 12 drink tea, 22 drink coffee and 3 drink both. How many drink only coffee?
22. 22.In a group of 42 grown-ups, 9 drink tea, 26 drink coffee and 6 drink both. How many drink only tea?
23. 23.In a group of 38 grown-ups, 23 drink tea, 18 drink coffee and 10 drink both. How many drink only coffee?
24. 24.In a group of 22 children, 13 like mangoes, 12 like bananas and 7 like both. How many like neither of the two?
25. 25.In a group of 39 children, 19 sing Hindi songs, 24 sing English songs and 7 sing both. How many sing only Hindi songs?
26. 26.In a group of 46 grown-ups, 21 drink tea, 16 drink coffee and 6 drink both. How many drink neither of the two?
27. 27.In a group of 34 children, 26 like mangoes, 11 like bananas and 7 like both. How many like only mangoes?
28. 28.In a group of 45 children, 22 enjoy drawing, 14 enjoy dancing and 2 enjoy both. How many enjoy only drawing?
29. 29.In a group of 29 children, 19 like mangoes, 13 like bananas and 5 like both. How many like only bananas?
30. 30.In a group of 50 children, 26 play chess, 26 play carrom and 10 play both. How many play only chess?
31. 31.In a group of 16 children, 9 like mangoes, 6 like bananas and 3 like both. How many like at least one of the two?
32. 32.In a group of 26 children, 8 play chess, 14 play carrom and 4 play both. How many play only carrom?
33. 33.In a group of 27 children, 15 play cricket, 17 play football and 8 play both. How many play exactly one of the two?
34. 34.In a group of 48 children, 20 play chess, 20 play carrom and 2 play both. How many play only chess?
35. 35.In a group of 34 children, 17 play chess, 19 play carrom and 6 play both. How many play neither of the two?
36. 36.In a group of 49 children, 16 like mangoes, 22 like bananas and 2 like both. How many like only mangoes?
37. 37.In a group of 34 grown-ups, 15 drink tea, 17 drink coffee and 2 drink both. How many drink only coffee?
38. 38.In a group of 34 children, 23 play cricket, 13 play football and 4 play both. How many play only football?
39. 39.In a group of 37 children, 20 sing Hindi songs, 20 sing English songs and 5 sing both. How many sing only English songs?
40. 40.In a group of 28 children, 21 like mangoes, 7 like bananas and 3 like both. How many like only mangoes?

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