Wipro Practice Venn Diagram Questions

Dear Reader ,

In Wipro placement test you can expect these type of venn diagram questions which is easy to solve with little bit concentration by logical analysis.

Question 1

If 40% of the people read newspaper X, 50% read newspaper Y and 10% read both the papers. What percentage of the people read neither newspaper?

a) 10%. b) 15%. c) 20%. d) 25%.

Answer : c) 20%.

Reason :

40% read newspaper X

50% read newspaper Y and out of this 10% read both X and Y

That means X alone is read by 30%,

Y alone is read by 40%

Both are read by 10%

People who read X alone + People who read Y alone + People who read both X and Y = 30% + 40% + 10% = 80%

This means the balance 20% don't read either of the newspapers.

Question 2

In a metropolitan city 25% neither watch TV news nor read newspaper, 35% read a newspaper and 20% read a newspaper and watch the news on television also. What percent of people watch Television?

a)55% b) 60% c) 50% d) 40%

Answer : b) 60%.

Reason :

Let X% of people watch television.

People who read Newspaper – 35%

People who watch TV as well as read newspaper – 20%

From Venn diagram, we can infer that people who watch Television alone = (X-20)%

People who read Newspaper alone = 35% - 20% = 15%

People who neither watch TV nor newspaper is given as 25%. This means, people who watch either TV or Newspaper or Both = 100 - 25 = 75%

Also this 75% will be equal to People who watch TV alone + People who read Newspaper alone + People who watch TV and read Newspaper

Or 75% = (X-20)% + 15% + 20%

Or X = 60%

Question 3

Out of the total of 200 musicians in Rehman Music club, 10% can play all the three instruments- guitar, violin and flute. The number of musicians who can play any two and only two of the above instruments is 70. The number of musicians who can play the guitar alone is 80. What is the total number of those who can play violin alone or flute alone?

a) 20 b) 30 c) 40 d) 50

Answer : b) 30

Reason :

Number of people who can play all the three instruments = 10% of 200 = (10/100)200 = 20 (people in pink colored area)

Musicians who can play any two and only two of the three instruments - 70 (Sum of people in grey colored areas)

Number of musicians who can play Guitar alone = 80

Number of musicians who can play violin alone or flute alone = Sum of people in blue areas = 200 -170 = 30