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Races and Games of Skill

Races and Games of Skill: Formulas, Shortcuts and Solved Examples

In a 100 m race, A finishes while B is still 15 m short. We say…
Divya runs 11/9 times as fast as Neha. If Divya gives Neha a start of 40 m, how far should the winning post be so that Divya and Neha might reach it at the same time?
What is the ground or path on which a race is conducted called?
In a race, ‘A beats B by 20 m’ means what?
In a 100 m race, ‘A gives B a start of 12 m’ means what?
If all contestants in a race reach the goal at exactly the same time, what is this called?
In a game of 100 points, Sanjay can give Neha 25 points, and Neha can give Arjun 12 points. How many points can Sanjay give Arjun?
In a game of 100 points, Rohan can give Karan 16 points, and Karan can give Arjun 25 points. How many points can Rohan give Arjun?
In a game of 100 points, Arjun can give Divya 25 points, and Divya can give Sanjay 20 points. How many points can Arjun give Sanjay?
In a game of 100 points, Neha can give Arjun 25 points, and Arjun can give Divya 8 points. How many points can Neha give Divya?
In a game of 200 points, Neha can give Divya 5 points, and Divya can give Karan 40 points. How many points can Neha give Karan?
In a game of 200 points, Priya can give Divya 48 points, and Divya can give Meera 50 points. How many points can Priya give Meera?
In a game of 100 points, Divya can give Neha 25 points, and Neha can give Sanjay 20 points. How many points can Divya give Sanjay?
In a game of 80 points, Neha can give Arjun 25 points. How many points does Arjun score while Neha scores 80?
In a game of 100 points, Neha can give Divya 7 points. How many points does Divya score while Neha scores 100?
In a game of 50 points, Arjun can give Priya 9 points. How many points does Priya score while Arjun scores 50?
In a game of 150 points, Rohan can give Neha 17 points. How many points does Neha score while Rohan scores 150?
In a game of 200 points, Karan can give Rohan 41 points. How many points does Rohan score while Karan scores 200?
In a game of 100 points, Rohan can give Priya 28 points. How many points does Priya score while Rohan scores 100?
In a game of 50 points, Sanjay can give Arjun 6 points. How many points does Arjun score while Sanjay scores 50?
In a game of 100 points, Neha can give Rohan 23 points. How many points does Rohan score while Neha scores 100?
In a game of 120 points, Rohan can give Meera 7 points. How many points does Meera score while Rohan scores 120?
In a game of 80 points, Meera can give Divya 11 points. How many points does Divya score while Meera scores 80?
Neha, Rohan, and Divya are three contestants in a 500 m race. If Neha can give Rohan a start of 50 m, and Neha can give Divya a start of 95 m, how many metres start can Rohan give Divya?
Divya, Priya, and Karan are three contestants in a 800 m race. If Divya can give Priya a start of 112 m, and Divya can give Karan a start of 284 m, how many metres start can Priya give Karan?

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