Directions: Read the following and answer the question.Mr. Ernest who likes to play cards has eleven cards available andndash; C1 through C11 with him. Among these eleven cards, there are five different colors of cards andndash; Red, Blue, Yellow, White and Black andndash; such that there are exactly three Red cards, two Blue cards, two Yellow cards, two White cards and two Black cards. The Mr. Ernest picks the six cards such that any game contains exactly two Red, one Blue, one Yellow, one White and one Black. The Mr. Ernest picked the following cards combinations for different games:Q.If one of the two Black cards was picked in three of the four games, which among the following is the other Black card?a)C5b)C1c)C11d)C2Correct answer is option 'C'. Can you explain this answer?

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Directions: Read the following and answer the question.

Mr. Ernest who likes to play cards has eleven cards available – C1 through C11 with him. Among these eleven cards, there are five different colors of cards – Red, Blue, Yellow, White and Black – such that there are exactly three Red cards, two Blue cards, two Yellow cards, two White cards and two Black cards. The Mr. Ernest picks the six cards such that any game contains exactly two Red, one Blue, one Yellow, one White and one Black. The Mr. Ernest picked the following cards combinations for different games:

Q. If one of the two Black cards was picked in three of the four games, which among the following is the other Black card?

a)
C5
b)
C1
c)
C11
d)
C2

Correct answer is option 'C'. Can you explain this answer?

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Directions: Read the following and answer the question.Mr. Ernest who ...

From the games given above, we can see that

If C1 is in a game, then C10 and C11 are not in the game.

If C2 is in the game, C6 is the only card which is not in the game.

If C3 is in the game C4 and C8 are not in the game.

If C4 is in the game, C3 and C11 are not in the game.

If C5 is in the game, no card is out of the game.

If C6 is in the game, C2 and C11 are the only cards not in the game.

If C7 is in the game, no card is out of the game.

If C8 is in the game C3 and C11 are not in the game.

If C9 is in the game, C11 is the only card not in the game.

If C10 is in the game, C1 is the only card not in the game.

If C11 is in the game, C1, C4, C6, C8 and C9 are not in the game.

For C5 and C7, no one is out of the game when they are part of the game.

This is possible only if they are both Red cards.

If they are of any other color, at least one card must not be in the game with them.

For each of the other colors, two cards are available, out of which one is selected. Hence, for each of the other colors, if one of the two cards is present the other must definitely not be present. Since this is not the case for each of C5 and C7, they must be Red.

In game 2 and game 4, both C5 and C7 are present. Hence, any card which is part of these two games cannot be Red.
Therefore, C1, C2, C3, C6, C9, C10 and C11 cannot be Red. This means one of C4 and C8 is the third Red card.

Since C2 is not a Red, C2 must be of a color in which there are exactly two cards. If C2 is in the game, one of the other cards (which Is of the same color as C2) must definitely not be in the game. If C2 is in the game, C6 is the only one which is not in the game. Hence. C2 and C6 must be of the same color. (Consider the case that C2 and C6 are of different color. In this case, C2 is in the game with everyone else except C6. Hence, none of them can be the same color of card as C2.)
Similarly. if C9 is part of the game, C11 is not a part of the game. Hence, C9 and C11 must be of the same color.
If C10 is in the game, C1 is not in the game. Hence, C10 and C1 must be of the same color.
The third Red can only be C4/C8.
If C4 is the third Red card, C3 and C8 must be of the same color.

If C8 is the third Red card, C3 and C4 must be of the same color.

Therefore, the following combinations are possible: (C1, C10); (C9, C11); (C2, C6); (C3, C4/C8); (C5, C7, C8/C4)

Cards which were picked in three games are C5, C7 and C9. Of these three, C9 is the only card which can be a Black (as C5 and C7 are Red). If C9 is a Black, C11 must also be a Black.

Answered by Wizius Careers · View profile

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Directions: Read the following and answer the question.Mr. Ernest who likes to play cards has eleven cards available – C1 through C11 with him. Among these eleven cards, there are five different colors of cards – Red, Blue, Yellow, White and Black – such that there are exactly three Red cards, two Blue cards, two Yellow cards, two White cards and two Black cards. The Mr. Ernest picks the six cards such that any game contains exactly two Red, one Blue, one Yellow, one White and one Black. The Mr. Ernest picked the following cards combinations for different games:Q.If one of the two Black cards was picked in three of the four games, which among the following is the other Black card?a)C5b)C1c)C11d)C2Correct answer is option 'C'. Can you explain this answer?

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Directions: Read the following and answer the question.Mr. Ernest who likes to play cards has eleven cards available – C1 through C11 with him. Among these eleven cards, there are five different colors of cards – Red, Blue, Yellow, White and Black – such that there are exactly three Red cards, two Blue cards, two Yellow cards, two White cards and two Black cards. The Mr. Ernest picks the six cards such that any game contains exactly two Red, one Blue, one Yellow, one White and one Black. The Mr. Ernest picked the following cards combinations for different games:Q.If one of the two Black cards was picked in three of the four games, which among the following is the other Black card?a)C5b)C1c)C11d)C2Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Read the following and answer the question.Mr. Ernest who likes to play cards has eleven cards available – C1 through C11 with him. Among these eleven cards, there are five different colors of cards – Red, Blue, Yellow, White and Black – such that there are exactly three Red cards, two Blue cards, two Yellow cards, two White cards and two Black cards. The Mr. Ernest picks the six cards such that any game contains exactly two Red, one Blue, one Yellow, one White and one Black. The Mr. Ernest picked the following cards combinations for different games:Q.If one of the two Black cards was picked in three of the four games, which among the following is the other Black card?a)C5b)C1c)C11d)C2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the following and answer the question.Mr. Ernest who likes to play cards has eleven cards available – C1 through C11 with him. Among these eleven cards, there are five different colors of cards – Red, Blue, Yellow, White and Black – such that there are exactly three Red cards, two Blue cards, two Yellow cards, two White cards and two Black cards. The Mr. Ernest picks the six cards such that any game contains exactly two Red, one Blue, one Yellow, one White and one Black. The Mr. Ernest picked the following cards combinations for different games:Q.If one of the two Black cards was picked in three of the four games, which among the following is the other Black card?a)C5b)C1c)C11d)C2Correct answer is option 'C'. Can you explain this answer?.

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