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A school organised a picnic. In a group of 100 students, 55% enjoy rides, 40% play football, 15% sit in a park, then which conclusion(s) can not be drawn from the above data.

a) 20% play football as well as enjoy rides.

b) Neither a single student play football nor enjoy rides.

Select the correct options ∶ 


1. Only a 
2. Only b 
3. Both a and b
4. Neither a nor b

1 Answer

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Best answer
Correct Answer - Option 4 : Neither a nor b

Given

55% enjoy rides.

40% play football.

15% sits in  park.

Formula Used

Basics of percentage and simplification.

Calculation

Total students = 100

Let the no. of students who enjoy rides as well as play football be x.

Number of students enjoy rides = 55% of 100 = 55

Number of students play football match = 40% of 100 = 40

Number of students sits in a park = 15% of 100 = 15

Total no. of students in the class = No. of students who enjoy rides + No. of students play football + No. of students who sits in a park - No. of students who enjoy rides as well as play football

 100 = 55 + 40 + 15 - x

 x = 110 - 100

⇒ 

x = 10

So, statement a and b both are wrong.

∴ 10 students play football as well as enjoy rides. Option 4 is correct.

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