Venn Diagrams and Venn Diagram with %s YouTube Lecture Handouts
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Watch Video Lecture on YouTube: Venn Diagrams Unraveling Terminology & Percentage Problems in Venn Diagrams
Venn Diagrams Unraveling Terminology & Percentage Problems in Venn Diagrams

35 are yellow

20 are red

15 are both red and yellow
Find:

Total blocks (40)

Are only yellow (20) vs yellow (35)
35 are yellow, 20 are red, 30 are blue, 5 yellow and red, 2 red & blue, 2  blue & yellow, 6 have only 2 colors.

Only red (14) vs. red (20)

Only/exactly red and yellow (4) vs. red and yellow (1)

Only/exactly either red or yellow (43) vs. either red or yellow (45) vs. either red or yellow or both (50)

Are not either red or yellow(27) vs. are not both red and yellow (72)

Red and one other color (5) vs. red and other color (6)

Exactly 2 colors (6) vs. at least 2 colors (7)

All three (1) and total (77)
In a class of 60 students, 40% can speak only Hindi, 25% can speak only English, and rest of the students can speak both the languages. How many students can speak English?
In examination, 65% of the students passed in Mathematics, 48% passed in Physics, and 30% passed in both. What percent of students failed in both the subjects? If there are 200 students, then find the number of failed students.
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In an examination 20% of the students failed in Math, 15% in English, and 25% in Hindi. If 5% failed Math & English, 10% failed English & Hindi, 15% failed Math and Hindi, and 2% failed all the three subjects, find percent of students who passed in all three subjects.
100 – 32 = 68%
2400 players are from MP and UP. Each player plays one or more of cricket (C), football (F), hockey (H). 45% players are from MP and remaining from UP. From MP, boys and girls are in ratio 5:4. Of the girls from MP, 20% play only C, 10% play only F & 10% play only H. 20% play C & F. 20% play C & H. 10% play F & H. Remaining play all three. Players from UP, boys & girls are in ratio 4:7. Of the girls from UP, 25% play only C, 10% play only F & 8% play only H. 15% play C & F. 10% play C & H. 15% play F & H. How many girls from MP and UP play only either cricket or football?
Next Class Successive %
If salary is first increased by 20% and then decreased by 20%, find the percentage change in salary.
Prabha spends 50% of monthly income on household items and the remaining is spent 50% on transport, 25% on entertainment, and 10% on sports. If Rs. 900 is saved every month, what was the monthly income?
Mayank