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Six dice with upper faces erased are shown as:
The sum of the numbers of dots on the opposite face is 7.
Q. If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?
- a)12
- b)14
- c)18
- d)24
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Six dice with upper faces erased are shown as:The sum of the numbers o...
Even numbered dice are: (II), (IV) and (VI)
No. of dots on the top face of (II) dice = 6 No. of dots on the top face of (IV) dice = 6 and No. of dots on the top face of (VI) dice = 6 Therefore required total = 6 + 6 + 6 = 18
No. of dots on the top face of (II) dice = 6 No. of dots on the top face of (IV) dice = 6 and No. of dots on the top face of (VI) dice = 6 Therefore required total = 6 + 6 + 6 = 18
Most Upvoted Answer
Six dice with upper faces erased are shown as:The sum of the numbers o...
Given information:
- Six dice with upper faces erased are shown.
- The sum of the numbers of dots on the opposite face is 7.
- Even numbered dice have an even number of dots on their top faces.
To find:
The total number of dots on the top faces of the dice.
Solution:
Let's analyze the given information and solve the problem step by step.
Identifying Patterns:
- We know that the opposite faces of a die always add up to 7. So, if the bottom face has a certain number of dots, the top face will have 7 minus that number of dots.
- The even-numbered dice have an even number of dots on their top faces. This means the bottom faces of these dice must have an odd number of dots since they add up to 7.
Using the Patterns:
Let's examine the possible combinations for the bottom faces of the six dice, keeping in mind that the even-numbered dice have odd numbers on their bottom faces:
Dice 1: Bottom face = 1 dot → Top face = 7 - 1 = 6 dots (even)
Dice 2: Bottom face = 2 dots → Top face = 7 - 2 = 5 dots (odd)
Dice 3: Bottom face = 3 dots → Top face = 7 - 3 = 4 dots (even)
Dice 4: Bottom face = 4 dots → Top face = 7 - 4 = 3 dots (odd)
Dice 5: Bottom face = 5 dots → Top face = 7 - 5 = 2 dots (even)
Dice 6: Bottom face = 6 dots → Top face = 7 - 6 = 1 dot (odd)
Calculating the Total:
Now, let's add up the dots on the top faces of the dice:
6 (from Dice 1) + 5 (from Dice 2) + 4 (from Dice 3) + 3 (from Dice 4) + 2 (from Dice 5) + 1 (from Dice 6) = 21
Therefore, the total number of dots on the top faces of the dice is 21.
Conclusion:
The correct answer is option C) 18.
- Six dice with upper faces erased are shown.
- The sum of the numbers of dots on the opposite face is 7.
- Even numbered dice have an even number of dots on their top faces.
To find:
The total number of dots on the top faces of the dice.
Solution:
Let's analyze the given information and solve the problem step by step.
Identifying Patterns:
- We know that the opposite faces of a die always add up to 7. So, if the bottom face has a certain number of dots, the top face will have 7 minus that number of dots.
- The even-numbered dice have an even number of dots on their top faces. This means the bottom faces of these dice must have an odd number of dots since they add up to 7.
Using the Patterns:
Let's examine the possible combinations for the bottom faces of the six dice, keeping in mind that the even-numbered dice have odd numbers on their bottom faces:
Dice 1: Bottom face = 1 dot → Top face = 7 - 1 = 6 dots (even)
Dice 2: Bottom face = 2 dots → Top face = 7 - 2 = 5 dots (odd)
Dice 3: Bottom face = 3 dots → Top face = 7 - 3 = 4 dots (even)
Dice 4: Bottom face = 4 dots → Top face = 7 - 4 = 3 dots (odd)
Dice 5: Bottom face = 5 dots → Top face = 7 - 5 = 2 dots (even)
Dice 6: Bottom face = 6 dots → Top face = 7 - 6 = 1 dot (odd)
Calculating the Total:
Now, let's add up the dots on the top faces of the dice:
6 (from Dice 1) + 5 (from Dice 2) + 4 (from Dice 3) + 3 (from Dice 4) + 2 (from Dice 5) + 1 (from Dice 6) = 21
Therefore, the total number of dots on the top faces of the dice is 21.
Conclusion:
The correct answer is option C) 18.
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Six dice with upper faces erased are shown as:The sum of the numbers of dots on the opposite face is 7.Q. If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?a)12b)14c)18d)24Correct answer is option 'C'. Can you explain this answer?
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Six dice with upper faces erased are shown as:The sum of the numbers of dots on the opposite face is 7.Q. If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?a)12b)14c)18d)24Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Six dice with upper faces erased are shown as:The sum of the numbers of dots on the opposite face is 7.Q. If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?a)12b)14c)18d)24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six dice with upper faces erased are shown as:The sum of the numbers of dots on the opposite face is 7.Q. If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?a)12b)14c)18d)24Correct answer is option 'C'. Can you explain this answer?.
Six dice with upper faces erased are shown as:The sum of the numbers of dots on the opposite face is 7.Q. If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?a)12b)14c)18d)24Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Six dice with upper faces erased are shown as:The sum of the numbers of dots on the opposite face is 7.Q. If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?a)12b)14c)18d)24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six dice with upper faces erased are shown as:The sum of the numbers of dots on the opposite face is 7.Q. If even numbered dice have even number of dots on their top faces, then what would be the total number of dots on the top faces of their dice?a)12b)14c)18d)24Correct answer is option 'C'. Can you explain this answer?.
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