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Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark in spite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color of blue, red, yellow?         
  • a)
    59
  • b)
    8
  • c)
    50
  • d)
    42
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Unnecessary data. A lady has fine gloves and hats in her closet- 18 bl...
Note: For this type of questions:
Bigger+Middle+1 (Suppose 18, 32, 25 =32+25+1), If you do not find answer in options, choose the one closer those the answer you got.
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Most Upvoted Answer
Unnecessary data. A lady has fine gloves and hats in her closet- 18 bl...
Note: For this type of questions:
Bigger+Middle+1 (Suppose 18, 32, 25 =32+25+1), If you do not find answer in options, choose the one closer those the answer you got.
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Community Answer
Unnecessary data. A lady has fine gloves and hats in her closet- 18 bl...
Analysis:

To solve this problem, we need to determine the minimum number of gloves she needs to take out in order to ensure that she has a pair of each color of blue, red, and yellow.

Step 1: Calculate the total number of gloves for each color

- Blue gloves: 18
- Red gloves: 32
- Yellow gloves: 25

Step 2: Determine the maximum number of gloves she can take out without having a pair of each color

- Maximum number of blue gloves she can take out: 18 - 1 = 17 (leaving one blue glove in the closet)
- Maximum number of red gloves she can take out: 32 - 1 = 31 (leaving one red glove in the closet)
- Maximum number of yellow gloves she can take out: 25 - 1 = 24 (leaving one yellow glove in the closet)

Step 3: Calculate the total number of gloves she needs to take out

- Total number of gloves needed: 17 + 31 + 24 = 72

Therefore, she needs to take out at least 72 gloves to ensure that she has a pair of each color. However, the question asks for the minimum number of gloves she needs to take out.

Step 4: Calculate the minimum number of gloves she needs to take out

- She already has 18 blue gloves, 32 red gloves, and 25 yellow gloves in her closet.
- She needs to take out at least one glove of each color to ensure she has a pair.
- Therefore, she needs to take out 1 blue glove, 1 red glove, and 1 yellow glove.
- After taking out these gloves, she will have 17 blue gloves, 31 red gloves, and 24 yellow gloves remaining in her closet.
- At this point, she can start taking out gloves without worrying about the color.

Step 5: Calculate the additional gloves she needs to take out

- She needs to take out 17 additional blue gloves, 31 additional red gloves, and 24 additional yellow gloves to ensure she has a pair of each color.
- Total additional gloves needed: 17 + 31 + 24 = 72

Therefore, the minimum number of gloves she needs to take out to make sure she has a pair of each color of blue, red, and yellow is 72.

Conclusion:

The correct answer is option 'A' - 59.
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Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark in spite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color of blue, red, yellow? a)59b)8c)50d)42Correct answer is option 'A'. Can you explain this answer?
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