Try this beautiful problem Based on Number counting useful for ISI B.Stat Entrance.

## Number counting| ISI B.Stat Entrance |Problem 56

In a group of 120 persons there are 70 Bengalis,35 Gujaratis and 15 Maharashtrians.Further 75 persons in the group are Muslims and the remaining are Hindus.Then the number of Bengali Muslims in the group is

- between 10 and 14
- between 15 and 19
- exactly 20
- 25 or more

**Key Concepts**

Number counting

Algebra

Set

## Check the Answer

But try the problem first…

Answer: 25 or more

TOMATO, Problem 56

Challenges and Thrills in Pre College Mathematics

## Try with Hints

First hint

Find the numbers of Hindus

Can you now finish the problem ……….

Second Hint

Assume that all hindus are in bangalis to find the minimum numbers of muslims persons

can you finish the problem……..

Final Step

Given that total number of person =120

75 persons are muslims

Therefore number of Hindus are(120-75)=45

There are 70 Bengalis and we assume that 45 hindus are in Bengalis to find the minimum number of muslims.

Therefore Bengali Muslims =(70-45)=25

Hence the number of Bengali Muslims in the group is 25 or more

## Other useful links

- https://www.cheenta.com/area-of-rectangle-problem-amc-8-2004-problem-24/
- https://www.youtube.com/watch?v=dLHUPDQzc2Q

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