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If 75% of a class of 40 students can sing and only 20% cannot dance, the maximum number of students who can neither sing nor dance is

  • a)
    0

  • b)
    6

  • c)
    8

  • d)
    Cannot be determined

Correct answer is option 'C'. Can you explain this answer?
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If 75% of a class of 40 students can sing and only 20% cannot dance, t...
Given:
- Total number of students in the class = 40
- 75% of the students can sing
- 20% of the students cannot dance

To find:
- The maximum number of students who can neither sing nor dance

Solution:
To find the maximum number of students who can neither sing nor dance, we need to consider the worst-case scenario where all the students who can sing can also dance, and all the students who cannot dance can also sing.

Step 1: Finding the number of students who can sing:
- 75% of 40 students can sing = (75/100) * 40 = 30 students can sing

Step 2: Finding the number of students who cannot dance:
- 20% of 40 students cannot dance = (20/100) * 40 = 8 students cannot dance

Step 3: Finding the maximum number of students who can neither sing nor dance:
- In the worst-case scenario, all 30 students who can sing can also dance.
- Therefore, the maximum number of students who can neither sing nor dance = Total number of students - (Number of students who can sing + Number of students who cannot dance)
- Maximum number of students who can neither sing nor dance = 40 - (30 + 8) = 40 - 38 = 2

Conclusion:
The maximum number of students who can neither sing nor dance is 2. However, since none of the options provided matches this answer, the correct answer cannot be determined based on the given options.
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If 75% of a class of 40 students can sing and only 20% cannot dance, the maximum number of students who can neither sing nor dance isa)0b)6c)8d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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