30 cricket players and 20 kho-kho players are training on a field. What is the ratio of cricket players to the total number of players?

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Solution

Number of cricket players = 30

Number of kho-kho players = 20

∴ Total number of player = Number of cricket players + Number of kho-kho players = 30 + 20 = 50

Ratio of cricket players to the total number of players = Number of cricket players : Total number of player

= 30 : 50

= $\frac{30}{50}$

= $\frac{30 \div 10}{50 \div 10}$ (HCF of 30 and 50 = 10)

= $\frac{3}{5}$

= 3 : 5

Thus, the ratio of cricket players to the total number of players is $\frac{3}{5}$ or 3 : 5.

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Statements

All football players are cricketers.

Some hockey players are football players.

No cricketer is a basketball player.

Conclusions

I.Some hockey players are cricketers.

II.No basketball player is a football player.

III.Some hockey players are basketball players.

IV.Some cricketers are football players.

In a class, there are 30 badminton players and 40 cricket players. The total strength of the class is 50. Find the number of players who play only badminton (assume every student plays at least one of the games).

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