Quant Exam > Quant Questions > 40% of the women are above 30 years of age an...
Start Learning for Free
40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?
- a)50%
- b)60%
- c)70%
- d)80%
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
40% of the women are above 30 years of age and 80 percent of the women...
Answer – c) 70% Explanation : take total women =100 Women less than or equal to 50 years = 80 and women above 50 years = 20 20 = women plays basketball 30% of the women above 50 plays basketball = 6 So remaining 14 women who plays basketball are less than or equal to 50 years So (14/20)*100 = 70%
Most Upvoted Answer
40% of the women are above 30 years of age and 80 percent of the women...
Given data:
- 40% of women are above 30 years of age
- 80% of women are less than or equal to 50 years of age
- 20% of all women play basketball
- 30% of women above the age of 50 play basketball
To find: What percent of players are less than or equal to 50 years?
Solution:
Let's assume there are 100 women in total. Then,
- 40 women are above 30 years of age (40% of 100)
- 80 women are less than or equal to 50 years of age (80% of 100)
- 20 women play basketball (20% of 100)
Now, out of the 40 women above 30 years of age, let's say x% play basketball. Then,
- Number of women above 30 years of age who play basketball = x% of 40 = 0.4x
Also, out of the 80 women less than or equal to 50 years of age, (100 - x)% play basketball. Then,
- Number of women less than or equal to 50 years of age who play basketball = (100 - x)% of 80 = 0.8(100 - x)
We are given that 30% of women above the age of 50 play basketball, which means 0.3 times the number of women above 50 years of age play basketball. So,
- Number of women above 50 years of age who play basketball = 0.3(40 - x)
The total number of women who play basketball is 20. Therefore,
- Number of women who play basketball = Number of women above 30 years of age who play basketball + Number of women less than or equal to 50 years of age who play basketball + Number of women above 50 years of age who play basketball
- 20 = 0.4x + 0.8(100 - x) + 0.3(40 - x)
- 20 = 0.4x + 80 - 0.8x + 12 - 0.3x
- 0.1x = -72
- x = 720/10 = 72
Therefore, out of the 40 women above 30 years of age, 72% play basketball. And out of the 80 women less than or equal to 50 years of age, (100 - 72)% = 28% play basketball.
Hence, the percentage of players who are less than or equal to 50 years of age = 20% - 72% + 28% = 76%.
Therefore, option C (70%) is incorrect. The correct answer is option E (None of these).
- 40% of women are above 30 years of age
- 80% of women are less than or equal to 50 years of age
- 20% of all women play basketball
- 30% of women above the age of 50 play basketball
To find: What percent of players are less than or equal to 50 years?
Solution:
Let's assume there are 100 women in total. Then,
- 40 women are above 30 years of age (40% of 100)
- 80 women are less than or equal to 50 years of age (80% of 100)
- 20 women play basketball (20% of 100)
Now, out of the 40 women above 30 years of age, let's say x% play basketball. Then,
- Number of women above 30 years of age who play basketball = x% of 40 = 0.4x
Also, out of the 80 women less than or equal to 50 years of age, (100 - x)% play basketball. Then,
- Number of women less than or equal to 50 years of age who play basketball = (100 - x)% of 80 = 0.8(100 - x)
We are given that 30% of women above the age of 50 play basketball, which means 0.3 times the number of women above 50 years of age play basketball. So,
- Number of women above 50 years of age who play basketball = 0.3(40 - x)
The total number of women who play basketball is 20. Therefore,
- Number of women who play basketball = Number of women above 30 years of age who play basketball + Number of women less than or equal to 50 years of age who play basketball + Number of women above 50 years of age who play basketball
- 20 = 0.4x + 0.8(100 - x) + 0.3(40 - x)
- 20 = 0.4x + 80 - 0.8x + 12 - 0.3x
- 0.1x = -72
- x = 720/10 = 72
Therefore, out of the 40 women above 30 years of age, 72% play basketball. And out of the 80 women less than or equal to 50 years of age, (100 - 72)% = 28% play basketball.
Hence, the percentage of players who are less than or equal to 50 years of age = 20% - 72% + 28% = 76%.
Therefore, option C (70%) is incorrect. The correct answer is option E (None of these).
Free Test
FREE
| Start Free Test |
Community Answer
40% of the women are above 30 years of age and 80 percent of the women...
"40% of the women are above 30 years of age "
not used in question, this data should not be considered in solving or without this information it can be solved i.e this information is over sufficient
not used in question, this data should not be considered in solving or without this information it can be solved i.e this information is over sufficient
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 40% of the women are above 30 years of age and 80 percent of the women are less than or equal to 50 years of age. 20 percent of all women play basketball.If 30 percent of the women above the age of 50 plays basketball, what percent of players are less than or equal to 50 years?a)50%b)60%c)70%d)80%e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup