The number of people who prefer to listen exactly one type of 39 music 39 genre is how much more tha...........

Quantitative Aptitude (SBI-PO) Case Studies

Directions: Answer the questions based on the information given below.

A survey is conducted among people about the type of 'music' genres (Folk, Rock, and Jazz) they prefer to listen. Each of the person prefer to listen at least one or more genres.The number of people who prefer to listen only 'Folk', only 'Rock and only 'Jazz' are in the ratio of 56 : 79 : 41. The number of people who prefer to listen both 'Folk' and 'Jazz' but not 'Rock' is 25% less the number of people who prefer to listen all three 'music' genres. The number of people who prefer to listen both 'Rock' and 'Jazz' but not 'Folk' and both 'Folk' and 'Rock' but not 'Jazz' are 50 and 35 respectively. The number of people who prefer to listen only 'Jazz' are five less than six times of the people who prefer to listen both 'Folk' and 'Rock' but not 'Jazz'. The total number of people who prefer to listen exactly two type of 'music' genres is equal to 130.

The number of people who prefer to listen exactly one type of 'music' genre is how much more/ than the number of people who prefer to listen exactly two types of 'music' genres?

This questions was previously asked in

SBI PO Prelims

View All SBIPO Previous Year Papers

720

730

740

750

760

छोटे Courses बड़े Results

Master Case Studies

Prepare through Micro-courses

Try Now

Explanation:

- The ratio for people listening only to Folk, Rock, and Jazz is 56:79:41, respectively. Convert these ratios into weights x, where Folk = 56x, Rock = 79x, Jazz = 41x.

- People listening to Folk and Jazz, but not Rock are 25% less than those listening to all three genres. Let those who listen to all genres be A, then Folk and Jazz is 0.75A.

- Rock and Jazz, but not Folk count 50.

- Folk and Rock, but not Jazz count 35.

- Jazz only: 6 times those listening to Folk and Rock minus 5, i.e., 6*35 - 5 = 205.

- Total number listening to exactly two genres: 130.

- Solve equations: Folk + Rock + Jazz = 211x; adding exactly 2-genre listeners to solve for totals gives the exact count.

- Calculate for each genre using our equations to find totals and confirm computed values.

- Determine differences between single genre and double genre listeners and compare.

- Difference = (56x + 79x + 41x) - 130.

- Calculate x to understand the total and find answer:

The number of people who prefer exactly one genre is higher by 750.