CAT Exam > CAT Questions > Akash has 8 T-shirts, from which he has to se...
Start Learning for Free
Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.
1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.
2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesn't wear green on Monday, he has to wear magenta on Thursday.
3. If he doesn’t wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.
4. He can wear the cream T-shirt only after he wears the pink T shirt.
5. He wears only lavender T-shirt on Friday.
6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.
1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.
2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesn't wear green on Monday, he has to wear magenta on Thursday.
3. If he doesn’t wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.
4. He can wear the cream T-shirt only after he wears the pink T shirt.
5. He wears only lavender T-shirt on Friday.
6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.
Q. Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?
- a)30,40
- b)30, 20
- c)40, 30
- d)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Akash has 8 T-shirts, from which he has to select which to wear to col...
Let Sahil’s age be x years and Karan’s age be y.
By first condition - x = 2 {y - (x - y)}3x = 4 y .....(I)
By second condition - y + 10 = 4/5[ x + (x - y)] .....(II)
By solving (I) and (II) we get y = 30 years.
So x = 40 years.
Hence, option 3.
By first condition - x = 2 {y - (x - y)}3x = 4 y .....(I)
By second condition - y + 10 = 4/5[ x + (x - y)] .....(II)
By solving (I) and (II) we get y = 30 years.
So x = 40 years.
Hence, option 3.
Most Upvoted Answer
Akash has 8 T-shirts, from which he has to select which to wear to col...
Understanding the Problem
To solve the age problem, we have Sahil and Karan's ages denoted as S and K respectively. We need to analyze the given conditions step-by-step.
Analyzing the First Condition
- Sahil is twice as old as Karan was when Sahil was as old as Karan is now.
- When Sahil was K years old, Karan's age at that time was S - (S - K) = 2K - S.
- Thus, we can express this condition as:
S = 2(2K - S)
Simplifying gives:
S = 4K - 2S
Rearranging yields:
3S = 4K
→ S = (4/3)K
Analyzing the Second Condition
- After 10 years, Karan will be (K + 10) years old.
- At that time, Sahil's age will be (S + 10) years.
- We need to find when Karan is as old as Sahil now, which is K.
- The relationship given is:
K + 10 = (4/5)(S + 10)
Rearranging yields:
5(K + 10) = 4(S + 10)
→ 5K + 50 = 4S + 40
→ 5K - 4S = -10
Substituting the Value of S
- From S = (4/3)K, substitute into the equation:
5K - 4(4/3)K = -10
→ 5K - (16/3)K = -10
→ (15K - 16K)/3 = -10
→ -K/3 = -10
→ K = 30
Finding Sahil's Age
- Substitute K back into the equation for S:
S = (4/3) * 30 = 40
Conclusion
Thus, the ages of Sahil and Karan are:
- Sahil: 40 years
- Karan: 30 years
The answer is option C: 40, 30.
To solve the age problem, we have Sahil and Karan's ages denoted as S and K respectively. We need to analyze the given conditions step-by-step.
Analyzing the First Condition
- Sahil is twice as old as Karan was when Sahil was as old as Karan is now.
- When Sahil was K years old, Karan's age at that time was S - (S - K) = 2K - S.
- Thus, we can express this condition as:
S = 2(2K - S)
Simplifying gives:
S = 4K - 2S
Rearranging yields:
3S = 4K
→ S = (4/3)K
Analyzing the Second Condition
- After 10 years, Karan will be (K + 10) years old.
- At that time, Sahil's age will be (S + 10) years.
- We need to find when Karan is as old as Sahil now, which is K.
- The relationship given is:
K + 10 = (4/5)(S + 10)
Rearranging yields:
5(K + 10) = 4(S + 10)
→ 5K + 50 = 4S + 40
→ 5K - 4S = -10
Substituting the Value of S
- From S = (4/3)K, substitute into the equation:
5K - 4(4/3)K = -10
→ 5K - (16/3)K = -10
→ (15K - 16K)/3 = -10
→ -K/3 = -10
→ K = 30
Finding Sahil's Age
- Substitute K back into the equation for S:
S = (4/3) * 30 = 40
Conclusion
Thus, the ages of Sahil and Karan are:
- Sahil: 40 years
- Karan: 30 years
The answer is option C: 40, 30.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
Question Description
Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Akash has 8 T-shirts, from which he has to select which to wear to college from Monday to Saturday. He does not repeat his clothes within a week.1. Each T-shirt is of a different colour i.e. blue, green, red, lavender, magenta, cream, black and pink.2. If he wears green on Monday, he has to wear cream on Thursday and vice versa. If doesnt wear green on Monday, he has to wear magenta on Thursday.3. If he doesnt wear magenta on Tuesday, he wears either black or red on Wednesday, otherwise he can not wear them on any day of the week.4. He can wear the cream T-shirt only after he wears the pink T shirt.5. He wears only lavender T-shirt on Friday.6. If he wears the blue T-shirt, he has to wear the green T-shirt as well in the week, and the green T-shirt should always be worn before the blue one.Q.Sahil is twice as old as Karan was when Sahil was as old as what Karan is now. After 10 years Karan will be 4/5th as old as Sahil will be when Karan will be as old as Sahil now. How old are Sahil and Karan respectively?a)30,40b)30, 20c)40, 30d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup