Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 147 · 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 23 children, 13 like mangoes, 11 like bananas and 6 like both. How many like exactly one of the two?
2. 2.In a group of 35 children, 14 play cricket, 22 play football and 10 play both. How many play only cricket?
3. 3.In a group of 21 children, 5 like mangoes, 12 like bananas and 2 like both. How many like neither of the two?
4. 4.In a group of 32 children, 7 sing Hindi songs, 22 sing English songs and 3 sing both. How many sing only English songs?
5. 5.In a group of 47 children, 22 like mangoes, 19 like bananas and 7 like both. How many like neither of the two?
6. 6.In a group of 26 children, 7 like mangoes, 13 like bananas and 2 like both. How many like only bananas?
7. 7.In a group of 42 children, 25 play cricket, 17 play football and 12 play both. How many play only football?
8. 8.In a group of 46 children, 17 play chess, 30 play carrom and 12 play both. How many play only chess?
9. 9.In a group of 43 children, 16 like mangoes, 25 like bananas and 8 like both. How many like only mangoes?
10. 10.In a group of 52 children, 22 play chess, 25 play carrom and 5 play both. How many play only chess?
11. 11.In a group of 28 children, 20 play cricket, 12 play football and 8 play both. How many play only cricket?
12. 12.In a group of 41 children, 20 sing Hindi songs, 18 sing English songs and 5 sing both. How many sing exactly one of the two?
13. 13.In a group of 31 grown-ups, 17 drink tea, 17 drink coffee and 6 drink both. How many drink only tea?
14. 14.In a group of 30 children, 13 sing Hindi songs, 17 sing English songs and 3 sing both. How many sing only English songs?
15. 15.In a group of 39 children, 8 enjoy drawing, 22 enjoy dancing and 2 enjoy both. How many enjoy neither of the two?
16. 16.In a group of 44 children, 26 play chess, 22 play carrom and 10 play both. How many play at least one of the two?
17. 17.In a group of 23 children, 10 play cricket, 11 play football and 7 play both. How many play only football?
18. 18.In a group of 23 children, 15 like mangoes, 16 like bananas and 9 like both. How many like at least one of the two?
19. 19.In a group of 36 children, 12 play cricket, 20 play football and 2 play both. How many play only football?
20. 20.In a group of 26 grown-ups, 13 drink tea, 15 drink coffee and 5 drink both. How many drink only tea?
21. 21.In a group of 47 children, 24 play chess, 23 play carrom and 11 play both. How many play only chess?
22. 22.In a group of 43 children, 12 play cricket, 25 play football and 9 play both. How many play only football?
23. 23.In a group of 45 children, 23 like mangoes, 14 like bananas and 7 like both. How many like only mangoes?
24. 24.In a group of 28 children, 12 play chess, 15 play carrom and 7 play both. How many play exactly one of the two?
25. 25.In a group of 30 grown-ups, 12 drink tea, 14 drink coffee and 5 drink both. How many drink only coffee?
26. 26.In a group of 34 children, 21 play cricket, 11 play football and 8 play both. How many play only football?
27. 27.In a group of 27 children, 15 like mangoes, 20 like bananas and 11 like both. How many like exactly one of the two?
28. 28.In a group of 40 children, 7 play cricket, 23 play football and 4 play both. How many play only football?
29. 29.In a group of 51 children, 20 play chess, 20 play carrom and 3 play both. How many play neither of the two?
30. 30.In a group of 52 children, 24 play chess, 25 play carrom and 9 play both. How many play only carrom?
31. 31.In a group of 37 grown-ups, 21 drink tea, 5 drink coffee and 2 drink both. How many drink neither of the two?
32. 32.In a group of 28 children, 13 play cricket, 15 play football and 3 play both. How many play neither of the two?
33. 33.In a group of 48 children, 19 play cricket, 25 play football and 8 play both. How many play only cricket?
34. 34.In a group of 36 children, 25 like mangoes, 17 like bananas and 10 like both. How many like only bananas?
35. 35.In a group of 40 children, 29 play cricket, 17 play football and 12 play both. How many play at least one of the two?
36. 36.In a group of 57 children, 24 like mangoes, 23 like bananas and 5 like both. How many like at least one of the two?
37. 37.In a group of 38 children, 16 play cricket, 17 play football and 5 play both. How many play only football?
38. 38.In a group of 39 children, 14 play cricket, 20 play football and 10 play both. How many play neither of the two?
39. 39.In a group of 24 children, 12 like mangoes, 10 like bananas and 4 like both. How many like at least one of the two?
40. 40.In a group of 40 children, 27 sing Hindi songs, 15 sing English songs and 9 sing both. How many sing at least one of the two?

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