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In a bag, there are some diamonds. In another bag, there are one fou rth the number more than the number of diamonds in the first bag. If the difference in the number of diamonds in the first and second bag is 3, how many diamonds are there in the first bag?   
  • a)
    10
  • b)
    16
  • c)
    12
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In a bag, there are some diamonds. In another bag, there are one fou r...
Given:
- Let the number of diamonds in the first bag be x.
- The number of diamonds in the second bag is 1/4 more than the number of diamonds in the first bag.
- The difference in the number of diamonds in the first and second bag is 3.

To find: The number of diamonds in the first bag.

Solution:
Let's first write down the given information in the form of equations:

- The number of diamonds in the second bag = x + 1/4x = 5/4x
- The difference in the number of diamonds in the first and second bag is 3:

x - (5/4)x = 3

Simplifying the equation:

- (1/4)x = 3
- x = 12

Therefore, there are 12 diamonds in the first bag, which is option (c).

Final answer: 12 (Option C)
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DIRECTIONS for the question: Read the information given below and answer the question that follows.The floor of a workshop is in the shape of a square where four machines are in cells 1, 3, 5 and 7. In cell 9, in the centre, a robot is placed which supplies raw material to all the four machines. 1. The finished product from cell 1 is passed to cell 2, cell 3 to cell 4, cell 5 to cell 6 and cell 7 to cell 8 through a conveyor belt. Every machine sends a signal to the robot, one second before it needs a material. The robot receives the signal without any time delay and supplies the material to respective machine and comes back. It takes one second each way. 2. If there is more than one signal at a time, then it supplies material to the machine whose cell number is smaller as the cells are numbered as per the importance of their operations. 3. When there are no signals from cells 1, 3, 5 or 7, the robot checks the availability of the finished goods in cell 2, 4, 6 and 8 without any time lag and brings them to cell 9 in 4 seconds (2 seconds each way) 4. If there is a signal from cells 1, 3, 5 and 7 when the robot is bringing finished goods, they are executed after the robot comes back. If in those two seconds there are more than 2 signals, then they are executed in the sequence in which they were made and if made simultaneously, the one from the cell with a smaller number is executed first. 5. There is a conveyor belt attached to the centre cell, which supplies the raw material and takes away the finished goods continuously. If a robot receives a signal in the beginning of the 1st, 3rd, 8th, 9th, second from cells 3, 1, 5 and 7 respectively and recognizes the availability of the finished good in cell 6 in the beginning of the seventh second, then answer the following questions.Where will the robot be at the end of the 10th second?

DIRECTIONS for the question: Read the information given below and answer the question that follows.The floor of a workshop is in the shape of a square where four machines are in cells 1, 3, 5 and 7. In cell 9, in the centre, a robot is placed which supplies raw material to all the four machines. 1. The finished product from cell 1 is passed to cell 2, cell 3 to cell 4, cell 5 to cell 6 and cell 7 to cell 8 through a conveyor belt. Every machine sends a signal to the robot, one second before it needs a material. The robot receives the signal without any time delay and supplies the material to respective machine and comes back. It takes one second each way. 2. If there is more than one signal at a time, then it supplies material to the machine whose cell number is smaller as the cells are numbered as per the importance of their operations. 3. When there are no signals from cells 1, 3, 5 or 7, the robot checks the availability of the finished goods in cell 2, 4, 6 and 8 without any time lag and brings them to cell 9 in 4 seconds (2 seconds each way) 4. If there is a signal from cells 1, 3, 5 and 7 when the robot is bringing finished goods, they are executed after the robot comes back. If in those two seconds there are more than 2 signals, then they are executed in the sequence in which they were made and if made simultaneously, the one from the cell with a smaller number is executed first. 5. There is a conveyor belt attached to the centre cell, which supplies the raw material and takes away the finished goods continuously. If a robot receives a signal in the beginning of the 1st, 3rd, 8th, 9th, second from cells 3, 1, 5 and 7 respectively and recognizes the availability of the finished good in cell 6 in the beginning of the seventh second, then answer the following questions.If there are no other signals in the first minute, then the robot will be idling in cell 9 for what fraction of a minute?

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In a bag, there are some diamonds. In another bag, there are one fou rth the number more than the number of diamonds in the first bag. If the difference in the number of diamonds in the first and second bag is 3, how many diamonds are there in the first bag? a)10b)16c)12d)8Correct answer is option 'C'. Can you explain this answer?
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