CAT Exam  >  CAT Questions  >  Directions: Study the following information t... Start Learning for Free
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. What is the total number of packets that the five persons bought from the shopkeeper?
Correct answer is '246'. Can you explain this answer?
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:

Total number of packets that the five friends bought from the shopkeeper = 246
Free Test
Community Answer
Directions: Study the following information to answer the given questi...
Calculation of Total Packets

Step 1: Find the total number of candies bought by each person
- Earl bought 1020 candies
- Amy bought 3570 candies
- Spencer bought 3990 candies
- Tyler bought 2380 candies
- Nicole bought 1470 candies

Step 2: Find the total number of candies returned by each person
- Earl returned 2 packets
- Amy returned 4 packets
- Spencer returned 1 packet
- Tyler returned 2 packets
- Nicole returned 1 packet

Step 3: Calculate the total number of candies returned by each person
- Earl returned 2 * 20 + 2 * 30 = 100 candies
- Amy returned 4 * 30 = 120 candies
- Spencer returned 1 * 70 = 70 candies
- Tyler returned 2 * 30 = 60 candies
- Nicole returned 1 * 70 = 70 candies

Step 4: Calculate the total number of candies bought and returned by each person
- Earl: 1020 - 100 = 920 candies
- Amy: 3570 - 120 = 3450 candies
- Spencer: 3990 - 70 = 3920 candies
- Tyler: 2380 - 60 = 2320 candies
- Nicole: 1470 - 70 = 1400 candies

Step 5: Find the packets bought and returned by each person
- Earl bought 920 candies, which is equivalent to 2 * 20 + 4 * 30 packets = 14 packets
- Amy bought 3450 candies, which is equivalent to 70 + 170 + 190 + 2 * 30 packets = 11 packets
- Spencer bought 3920 candies, which is equivalent to 70 + 170 + 190 + 170 + 190 packets = 5 packets
- Tyler bought 2320 candies, which is equivalent to 70 + 170 + 190 packets = 3 packets
- Nicole bought 1400 candies, which is equivalent to 20 + 70 + 170 packets = 3 packets

Step 6: Calculate the total number of packets bought by all five persons
Total packets = 14 + 11 + 5 + 3 + 3 = 36
Therefore, the total number of packets that the five persons bought from the shopkeeper is 36.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. 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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. 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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. 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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. 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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. 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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. 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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. 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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. 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.What is the total number of packets that the five persons bought from the shopkeeper?Correct answer is '246'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev