GMAT Question > There are 40 students in a classroom, 9/20 of...

There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?

- a)Between 10 and 32.
- b)Between 14 and 32.
- c)Between 10 and 18.
- d)Between 14 and 18.
- e)Between 18 and 36

Correct answer is option 'C'. Can you explain this answer?

Great Concept
Oct 01, 2021 |

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There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?a)Between 10 and 32.b)Between 14 and 32.c)Between 10 and 18.d)Between 14 and 18.e)Between 18 and 36Correct answer is option 'C'. Can you explain this answer?

C

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Talent Skill Learning
Feb 17, 2022 |

Given that there are 18 boys (9/20*40=18) and 22 girls in the class. Also we know that out of 40 students 32 are right-handed (4/5*40=32).

Maximum number of right-handed boys possible is if ALL 18 boys are right-handed;

Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.

Maximum number of right-handed boys possible is if ALL 18 boys are right-handed;

Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.

Phada Guy
Mar 22, 2020 |

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There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?a)Between 10 and 32.b)Between 14 and 32.c)Between 10 and 18.d)Between 14 and 18.e)Between 18 and 36Correct answer is option 'C'. Can you explain this answer?

This is because, 9/20 of 40 = 18. we have 18 boys in all and 4/5 of 18 is approximately 14.4 which lies between 10 and 18

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Given that there are 18 boys (9/20*40=18) and 22 girls in the class. Also we know thatout of 40 students32 are right-handed (4/5*40=32).Maximum number of right-handed boys possible is if ALL18 boys are right-handed;Minimum number of right-handed boys possible is if ALL 22 girls are right-handed, so in this case 32-22=10 boys would be right-handed.