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Directions: Study the following information to answer the given question.
A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.
Q. Which of the following cannot be the number of candies Earl purchased?
Q. Which of the following cannot be the number of candies Earl purchased?
- a)760
- b)800
- c)820
- d)920
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Directions: Study the following information to answer the given questi...
It is given that Earl bought 1020 candies. He could have bought the packets of type 20/30/170. Amy bought 3570 candies. He could have bought the packets of type 30/70/170. Spencer bought 3990 candies. He could have bought the packets of type 30/70/190. Tyler bought 2380 candies. He could have bought the packets of type 20/70/170. Nicole bought 1470 candies. He could have bought the packets of type 30/70. Since only Spencer could have bought the packets of type 190, he must have bought the packets of type 190 candies. The number of packets that he would have bought will be 21. If Nicole bought packs of 70 candies, he must have bought 21 packets. This is not possible. Hence, Nicole bought the packets containing 30 candies each. Amy could not have bought the packets of type 170, as she would have bought 21 packets. Hence, Amy must have bought packets containing 70 candies each. He must have bought 51 packets. Earl could not have bought packets containing 20 candies each as he would have then bought 51 packets. Hence, Earl must bought packets containing 170 candies. Tyler must have bought packets containing 20 candies each.
The following table provides the type of packet and the number of packets bought by each of the five persons:
Earl returned 2 packets to the shopkeeper. None of these two packets can be of type 170. If the candies were 760, Earl must have returned 260 candies. This must be done by returning one packet of 190 candies and one packet of 70 candies. Hence, this is possible. If the number of candies were 920, Earl must have returned one packet of 30 candies and one packet of 70 candies. If the number of candies were 800, Earl must have returned one packet of 30 candies and one packet of 190 candies. If the number of candies were 820, Earl must have returned 200 candies. This can be done only if he returned the packets of 30 and 170 candies. Since this is not possible, the number of candies that Earl purchased cannot be 820.
The following table provides the type of packet and the number of packets bought by each of the five persons:
Earl returned 2 packets to the shopkeeper. None of these two packets can be of type 170. If the candies were 760, Earl must have returned 260 candies. This must be done by returning one packet of 190 candies and one packet of 70 candies. Hence, this is possible. If the number of candies were 920, Earl must have returned one packet of 30 candies and one packet of 70 candies. If the number of candies were 800, Earl must have returned one packet of 30 candies and one packet of 190 candies. If the number of candies were 820, Earl must have returned 200 candies. This can be done only if he returned the packets of 30 and 170 candies. Since this is not possible, the number of candies that Earl purchased cannot be 820.
Community Answer
Directions: Study the following information to answer the given questi...
Explanation:
Given Information:
- Earl purchased 1020 candies.
- Earl returned 2 packets of candies.
- Earl did not buy the same type of packet he returned.
Finding the Possible Number of Candies Earl Purchased:
- The total number of candies Earl purchased is 1020.
- Earl returned 2 packets, which means he returned candies in multiples of 20, 30, 70, 170, and 190.
- We need to find a combination of two packet sizes that, when subtracted from 1020, results in a valid number of candies purchased by Earl.
Possible Combinations:
- If Earl returned 2 packets of 20 candies each, he must have purchased 1020 + 2 * 20 = 1060 candies, which is not the correct total.
- If Earl returned 2 packets of 30 candies each, he must have purchased 1020 + 2 * 30 = 1080 candies.
- If Earl returned 2 packets of 70 candies each, he must have purchased 1020 + 2 * 70 = 1160 candies.
- If Earl returned 2 packets of 170 candies each, he must have purchased 1020 + 2 * 170 = 1360 candies.
- If Earl returned 2 packets of 190 candies each, he must have purchased 1020 + 2 * 190 = 1400 candies.
Conclusion:
- From the possible combinations, the number of candies Earl cannot have purchased is 820, as it does not match any of the valid combinations after returning 2 packets. Hence, option C (820) is the correct answer.
Given Information:
- Earl purchased 1020 candies.
- Earl returned 2 packets of candies.
- Earl did not buy the same type of packet he returned.
Finding the Possible Number of Candies Earl Purchased:
- The total number of candies Earl purchased is 1020.
- Earl returned 2 packets, which means he returned candies in multiples of 20, 30, 70, 170, and 190.
- We need to find a combination of two packet sizes that, when subtracted from 1020, results in a valid number of candies purchased by Earl.
Possible Combinations:
- If Earl returned 2 packets of 20 candies each, he must have purchased 1020 + 2 * 20 = 1060 candies, which is not the correct total.
- If Earl returned 2 packets of 30 candies each, he must have purchased 1020 + 2 * 30 = 1080 candies.
- If Earl returned 2 packets of 70 candies each, he must have purchased 1020 + 2 * 70 = 1160 candies.
- If Earl returned 2 packets of 170 candies each, he must have purchased 1020 + 2 * 170 = 1360 candies.
- If Earl returned 2 packets of 190 candies each, he must have purchased 1020 + 2 * 190 = 1400 candies.
Conclusion:
- From the possible combinations, the number of candies Earl cannot have purchased is 820, as it does not match any of the valid combinations after returning 2 packets. Hence, option C (820) is the correct answer.
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Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer?
Question Description
Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct 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: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct 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: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer?.
Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct 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: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct 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: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Study the following information to answer the given question.A certain candy manufacturing company manufactures candies and pack them in exactly five types of packets, which contain 20, 30, 70, 170 and 190 candies each. Each of five persons Earl, Amy, Spencer, Tyler and Nicole bought similar packing of candies and no two persons among the five bought same packing of candies. The numbers of candies that Earl, Amy, Spencer, Tyler and Nicole bought from the shopkeeper were 1020, 3570, 3990, 2380 and 1470, in that order. Further, the number of packets that each person bought from the shopkeeper was distinct. However, all of them realised that they had bought some extra candies, so they returned the excess candies in such a way that they made packets similar to those made by the company and each of Earl, Amy, Spencer, Tyler and Nicole returned in the form of 2 packets, 4 packets, 1 packet, 2 packets and 1 packet, respectively, but in packet(s) different from the type the person had bought from the shopkeeper.Q.Which of the following cannot be the number of candies Earl purchased?a)760b)800c)820d)920Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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