# 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.

red (14) vs. red (20)__Only__red__Only/exactly__yellow (4) vs. red__and__yellow (1)__and__either red__Only/exactly__yellow (43) vs. either red__or__yellow (45) vs.__or__red__either__yellow__or__both (50)__or__Are not

red__either__yellow(27) vs. are not__or__red__both__yellow (72)__and__Red and

__one__other color (5) vs. red and other color (6)2 colors (6) vs.__Exactly__2 colors (7)__at least__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 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?**

__10% play only F__## 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