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Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.
1) Who reaches the nearest point?
2) How many times can they meet in between on same stair ?
3) Who takes least number of steps to reach near hundred ?
4) What is the first stair where any two out of three will meet together?
5) What is the second stair where any two out of three will meet together?
Most Upvoted Answer
Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and g...
1) Who Reaches the Nearest Point?
Amar, Akbar, and Anthony each have distinct climbing patterns:
- Amar: Climbs 5 stairs, then descends 2 stairs (Net gain: 3 stairs).
- Akbar: Climbs 7 stairs, then descends 2 stairs (Net gain: 5 stairs).
- Anthony: Climbs 10 stairs, then descends 3 stairs (Net gain: 7 stairs).
Calculating their progress:
- Amar will reach up to 99 stairs.
- Akbar will reach up to 95 stairs.
- Anthony will reach up to 97 stairs.
**Conclusion:** Amar reaches the nearest point, which is 99 stairs.

2) How Many Times Can They Meet on the Same Stair?
To find out when they meet:
- Amar's positions: 3n (where n is the number of turns).
- Akbar's positions: 5n (where n is the number of turns).
- Anthony's positions: 7n (where n is the number of turns).
Calculating intersections, we find:
- They can meet on stairs 0, 15, 30, 45, 60, 75, 90.
**Conclusion:** They meet together 7 times on the same stairs.

3) Who Takes the Least Number of Steps to Reach Near Hundred?
Calculating the number of turns:
- Amar: 33 turns to reach 99 (99/3).
- Akbar: 19 turns to reach 95 (95/5).
- Anthony: 14 turns to reach 97 (97/7).
**Conclusion:** Anthony takes the least number of steps (14 turns).

4) What is the First Stair Where Any Two Out of Three Will Meet Together?
Calculating pairs:
- Amar & Akbar meet at 15 stairs.
- Amar & Anthony meet at 30 stairs.
- Akbar & Anthony meet at 70 stairs.
**Conclusion:** The first stair where any two meet is 15 stairs.

5) What is the Second Stair Where Any Two Out of Three Will Meet Together?
Continuing the calculations:
The second meeting points include:
- Amar & Akbar: 30 stairs.
- Amar & Anthony: 45 stairs.
- Akbar & Anthony: 90 stairs.
**Conclusion:** The second stair where any two will meet is 30 stairs.
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Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together?
Question Description
Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together?.
Solutions for Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together? defined & explained in the simplest way possible. Besides giving the explanation of Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together?, a detailed solution for Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together? has been provided alongside types of Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together? theory, EduRev gives you an ample number of questions to practice Amar, Akbar and Anthony are playing a game. Amar climbs 5 stairs and gets down two stairs in the turn. Akbar goes up by 7 stairs and comes down by 2 stairs every time. Anthony goes 10 stairs up and 3 stairs down each time. Doing this they have to reach to the nearest point of 100th stairs and they will stop once they find it impossible to go forward. They cannot cross 100th stair in anyway.1) Who reaches the nearest point?2) How many times can they meet in between on same stair ?3) Who takes least number of steps to reach near hundred ?4) What is the first stair where any two out of three will meet together?5) What is the second stair where any two out of three will meet together? tests, examples and also practice Class 10 tests.
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