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Standard IX

Mathematics

Venn Diagram

Benji plays t...

Question

Benji plays two games of popping balloons. In the first game, he gets $4$ points for popping each balloon. In the second game, he gets $6$ points for popping each balloon. Which of the following cannot be his total score in either game?

24

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36

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42

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38

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Solution

The correct option is D $38$
Total scores are multiples of $4$ or $6$ .

Multiples of 4 are: $4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, . . .$

Multiples of $6$ are: $6, 12, 18, 24, 30, 36, 42, 48, 54, . . .$

38 is not a multiple of $4$ or $6$ .

Thus, the only score that is not possible is $38$ .

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Benji plays two games of popping balloons. In the first game, he gets 4 points for popping each balloon. In the second game, he gets 6 points for popping each balloon. Which of the following cannot be his total score in either game?

The correct option is D 38Total scores are multiples of 4 or 6. Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,... Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54,... 38 is not a multiple of 4 or 6. Thus, the only score that is not possible is 38.

Benji plays two games of popping balloons. In the first game, he gets $4$ points for popping each balloon. In the second game, he gets $6$ points for popping each balloon. Which of the following cannot be his total score in either game?

The correct option is D $38$
Total scores are multiples of $4$ or $6$ .

Multiples of 4 are: $4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, . . .$

Multiples of $6$ are: $6, 12, 18, 24, 30, 36, 42, 48, 54, . . .$

38 is not a multiple of $4$ or $6$ .

Thus, the only score that is not possible is $38$ .