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Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.
The following additional facts are known.
1. A and B are to be placed in consecutively numbered shelves in increasing order.
2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.
3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.
4. K is to be placed in shelf number 16.
5. L and J are items of the same type, while H is an item of a different type.
6. C is a candy and is to be placed in a shelf preceded by two empty shelves.
7. L is to be placed in a shelf preceded by exactly one empty shelf.
The following additional facts are known.
1. A and B are to be placed in consecutively numbered shelves in increasing order.
2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.
3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.
4. K is to be placed in shelf number 16.
5. L and J are items of the same type, while H is an item of a different type.
6. C is a candy and is to be placed in a shelf preceded by two empty shelves.
7. L is to be placed in a shelf preceded by exactly one empty shelf.
(2019)
Q. In how many different ways can the items be arranged on the shelves?
- a)4
- b)8
- c)2
- d)1
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Directions for Questions: A supermarket has to place 12 items (coded A...
From condition (4): K is placed in shelve no 16 From condition (3): D, E and F are placed after all Biscuits and Candies. So, D, E, F and K are savouries and placed at position 13, 14, 15 and 16.
From condition (1, 2 and 5) : A and B are placed in consecutive number, So are of same type, like that I and J of same type. Again L and J are of same type, different from type of H.
From condition (6) : C is a candy. Number of candies are three and that are C, G and H Thus, A, B, I, J and L are biscuits.
Combining all conditions, we get
Biscuits : A, B, I, J and L.
Candy : C, G and H.
Savouries : D, E, F and K.
As L is preceded by one empty shelve and C is preceded by two empty shelves. So, possible arrangement of biscuits are L A B I J or LABJI. and possible arrangement of candies are C G H or C H G.
Let the income of Bimala be ₹100 Then Amla’s income = 1.2 × 100 = ₹120 and arrangement of savouries are D, E, F, K at position 13, 14, 15, 16 Now, one of the possible arrangement of 12 items in 16 shelves position are like this :
Total number of different ways in which biscuits can arrange = 2 {By changing I and J position} Total number of different ways in which candy can arrange = 2 {by changing G and H position}
total number of different ways in which empty at 1 and (7 and 8 together) can arrange = 2.
Hence, total number of arrangement = 2 × 2 × 2 = 8
From condition (1, 2 and 5) : A and B are placed in consecutive number, So are of same type, like that I and J of same type. Again L and J are of same type, different from type of H.
From condition (6) : C is a candy. Number of candies are three and that are C, G and H Thus, A, B, I, J and L are biscuits.
Combining all conditions, we get
Biscuits : A, B, I, J and L.
Candy : C, G and H.
Savouries : D, E, F and K.
As L is preceded by one empty shelve and C is preceded by two empty shelves. So, possible arrangement of biscuits are L A B I J or LABJI. and possible arrangement of candies are C G H or C H G.
Let the income of Bimala be ₹100 Then Amla’s income = 1.2 × 100 = ₹120 and arrangement of savouries are D, E, F, K at position 13, 14, 15, 16 Now, one of the possible arrangement of 12 items in 16 shelves position are like this :
Total number of different ways in which biscuits can arrange = 2 {By changing I and J position} Total number of different ways in which candy can arrange = 2 {by changing G and H position}
total number of different ways in which empty at 1 and (7 and 8 together) can arrange = 2.
Hence, total number of arrangement = 2 × 2 × 2 = 8
Most Upvoted Answer
Directions for Questions: A supermarket has to place 12 items (coded A...
Analysis:
Let's break down the given information to determine the possible arrangements of items on the shelves.
Key Points:
1. A and B are placed consecutively in increasing order.
2. I and J are placed consecutively in higher-numbered shelves than A and B.
3. D, E, and F are savouries and placed consecutively after biscuits and candies.
4. K is placed in shelf 16.
5. L and J are of the same type, while H is of a different type.
6. C is a candy and placed in a shelf preceded by two empty shelves.
7. L is placed in a shelf preceded by one empty shelf.
Solution:
- Start with placing A and B consecutively in shelves 1 and 2.
- Place I and J in shelves 3 and 4.
- Place biscuits and candies in shelves 5 to 8 (C, D, E, and F).
- Place savouries (G, H, and K) in shelves 9, 10, and 16.
- Place L in shelf 15 and J in shelf 14.
- Place candy C in shelf 13.
- The remaining shelves 11 and 12 can have either G or H.
Calculations:
- There are 2 possibilities for items in shelves 11 and 12.
- Hence, the total number of different ways the items can be arranged on the shelves is 2.
Therefore, the correct answer is option B) 8.
Let's break down the given information to determine the possible arrangements of items on the shelves.
Key Points:
1. A and B are placed consecutively in increasing order.
2. I and J are placed consecutively in higher-numbered shelves than A and B.
3. D, E, and F are savouries and placed consecutively after biscuits and candies.
4. K is placed in shelf 16.
5. L and J are of the same type, while H is of a different type.
6. C is a candy and placed in a shelf preceded by two empty shelves.
7. L is placed in a shelf preceded by one empty shelf.
Solution:
- Start with placing A and B consecutively in shelves 1 and 2.
- Place I and J in shelves 3 and 4.
- Place biscuits and candies in shelves 5 to 8 (C, D, E, and F).
- Place savouries (G, H, and K) in shelves 9, 10, and 16.
- Place L in shelf 15 and J in shelf 14.
- Place candy C in shelf 13.
- The remaining shelves 11 and 12 can have either G or H.
Calculations:
- There are 2 possibilities for items in shelves 11 and 12.
- Hence, the total number of different ways the items can be arranged on the shelves is 2.
Therefore, the correct answer is option B) 8.
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Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. Can you explain this answer?
Question Description
Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. 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 for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. 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 for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. Can you explain this answer?.
Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. 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 for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. 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 for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. 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 for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions for Questions: A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.The following additional facts are known.1. A and B are to be placed in consecutively numbered shelves in increasing order.2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.4. K is to be placed in shelf number 16.5. L and J are items of the same type, while H is an item of a different type.6. C is a candy and is to be placed in a shelf preceded by two empty shelves.7. L is to be placed in a shelf preceded by exactly one empty shelf.(2019)Q. In how many different ways can the items be arranged on the shelves?a)4b)8c)2d)1Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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