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Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation PDF Download

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Three pouches (each represented by a filled circle) are kept in each of the nine slots in a 3 × 3 grid, as shown in the figure. Every pouch has a certain number of one-rupee coins. The minimum and maximum amounts of money (in rupees) among the three pouches in each of the nine slots are given in the table. For example, we know that among the three pouches kept in the second column of the first row, the minimum amount in a pouch is Rs. 6 and the maximum amount is Rs. 8.

There are nine pouches in any of the three columns, as well as in any of the three rows. It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. It is also known that the total amount of money kept in the three pouches in the first column of the third row is Rs. 4.

Q1: What is the total amount of money (in rupees) in the three pouches kept in the first column of the second row?

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Ans: 13
We can make the following table from "the total amount of money kept in the three pouches in the first column of the third row is Rs. 4."
If the minimum and maximum value are 1, then the sum of the three pouches in the middle will be Rs 3.

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

If we calculate the maximum and minimum value possible for each slot in column 1. For the slot, column 1 and row 1, the maximum value possible is 10{2,4,4} while the minimum value possible is 8{2,2,4}.

Similarly, for the slot, column 1 and row 2, the maximum value possible is 13{3,5,5} while the minimum value possible is 11{3,3,5}.

It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. Thus the sum of coins in a row or column must be a multiple of 9.

So, we can iterate that 10,13,4 ...{27} is the only sum possible for the slots of column 1.

We now know two elements of row 2, thus we can iterate from the maximum and the minimum value possible for the slot {cloumn 3, row 2} that 38 is the only value possible for the slot.

We can make the following table:

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Similarly, we can find the amount for Column 2. 
For the slot, column 2 and row 1, the maximum value possible is 22{6,8,8} while the minimum value possible is 20{6,6,8}.
For the slot, column 2 and row 3, the maximum value possible is 5{1,2,3} while the minimum value possible is 4{1,1,2}.
Thus {20,3,4} is the only solution possible.

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

We can similarly make the following table for the last column. 

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

The total amount of money (in rupees) in the three pouches kept in the first column of the second row=13
Correct answer 13

Q2: How many pouches contain exactly one coin?

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Ans: 8
We can make the following table from "the total amount of money kept in the three pouches in the first column of the third row is Rs. 4."
If the minimum and maximum value are 1, then the sum of the three pouches in the middle will be Rs 3.

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

If we calculate the maximum and minimum value possible for each slot in column 1. For the slot, column 1 and row 1, the maximum value possible is 10{2,4,4} while the minimum value possible is 8{2,2,4}.
Similarly, for the slot, column 1 and row 2, the maximum value possible is 13{3,5,5} while the minimum value possible is 11{3,3,5}.
It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. Thus the sum of coins in a row or column must be a multiple of 9.
So, we can iterate that 10,13,4 ...{27} is the only sum possible for the slots of column 1.
We now know two elements of row 2, thus we can iterate from the maximum and the minimum value possible for the slot {cloumn 3, row 2} that 38 is the only value possible for the slot.
We can make the following table:

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Similarly, we can find the amount for Column 2. 
For the slot, column 2 and row 1, the maximum value possible is 22{6,8,8} while the minimum value possible is 20{6,6,8}.
For the slot, column 2 and row 3, the maximum value possible is 5{1,2,3} while the minimum value possible is 4{1,1,2}.
Thus {20,3,4} is the only solution possible.

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

We can similarly make the following table for the last column. 

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Answer 8

Q3: What is the number of slots for which the average amount (in rupees) of its three pouches is an integer?

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Ans: 2
We can make the following table from "the total amount of money kept in the three pouches in the first column of the third row is Rs. 4."
If the minimum and maximum value are 1, then the sum of the three pouches in the middle will be Rs 3.

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

If we calculate the maximum and minimum value possible for each slot in column 1. For the slot, column 1 and row 1, the maximum value possible is 10{2,4,4} while the minimum value possible is 8{2,2,4}.
Similarly, for the slot, column 1 and row 2, the maximum value possible is 13{3,5,5} while the minimum value possible is 11{3,3,5}.
It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. Thus the sum of coins in a row or column must be a multiple of 9.
So, we can iterate that 10,13,4 ...{27} is the only sum possible for the slots of column 1.
We now know two elements of row 2, thus we can iterate from the maximum and the minimum value possible for the slot {cloumn 3, row 2} that 38 is the only value possible for the slot.
We can make the following table:

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Similarly, we can find the amount for Column 2. 
For the slot, column 2 and row 1, the maximum value possible is 22{6,8,8} while the minimum value possible is 20{6,6,8}.
For the slot, column 2 and row 3, the maximum value possible is 5{1,2,3} while the minimum value possible is 4{1,1,2}.
Thus {20,3,4} is the only solution possible.

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

We can similarly make the following table for the last column. 

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Answer 2

Q4: The number of slots for which the total amount in its three pouches strictly exceeds Rs. 10 is
Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT PreparationView Answer  Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation
Ans: 3
We can make the following table from "the total amount of money kept in the three pouches in the first column of the third row is Rs. 4."
If the minimum and maximum value are 1, then the sum of the three pouches in the middle will be Rs 3.
Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

If we calculate the maximum and minimum value possible for each slot in column 1. For the slot, column 1 and row 1, the maximum value possible is 10{2,4,4} while the minimum value possible is 8{2,2,4}.
Similarly, for the slot, column 1 and row 2, the maximum value possible is 13{3,5,5} while the minimum value possible is 11{3,3,5}.
It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. Thus the sum of coins in a row or column must be a multiple of 9.
So, we can iterate that 10,13,4 ...{27} is the only sum possible for the slots of column 1.
We now know two elements of row 2, thus we can iterate from the maximum and the minimum value possible for the slot {cloumn 3, row 2} that 38 is the only value possible for the slot.
We can make the following table:

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Similarly, we can find the amount for Column 2. 
For the slot, column 2 and row 1, the maximum value possible is 22{6,8,8} while the minimum value possible is 20{6,6,8}.
For the slot, column 2 and row 3, the maximum value possible is 5{1,2,3} while the minimum value possible is 4{1,1,2}.
Thus {20,3,4} is the only solution possible.

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

We can similarly make the following table for the last column. 

Practice Question - 33 (Quant Based DI) | 100 DILR Questions for CAT Preparation

Answer 3

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FAQs on Practice Question - 33 (Quant Based DI) - 100 DILR Questions for CAT Preparation

1. What is the format and structure of the Quant Based Data Interpretation (DI) section in the CAT exam?
Ans. The Quant Based Data Interpretation section in the CAT exam typically consists of various sets of data presented in the form of tables, graphs, or charts. Candidates are required to interpret the data and answer related questions, which may involve calculations, comparisons, and critical analysis. The questions generally vary in difficulty and may include multiple-choice or direct answer formats.
2. How can candidates effectively prepare for the Quant Based DI section of the CAT exam?
Ans. Candidates can effectively prepare for the Quant Based DI section by practicing a variety of sample questions and previous years' papers. They should focus on improving their data interpretation skills, understanding different types of charts and graphs, and enhancing their quantitative abilities. Regular practice using mock tests and time management strategies will also help improve speed and accuracy.
3. What types of data representations can candidates expect in the Quant Based DI section?
Ans. In the Quant Based DI section, candidates can expect to encounter various types of data representations, including bar graphs, line graphs, pie charts, tables, and mixed data formats. Understanding how to read and analyze these representations is crucial, as the questions will often require extracting information and making calculations based on the provided data.
4. Are there any specific topics within quantitative aptitude that candidates should focus on for the Quant Based DI section?
Ans. Yes, candidates should focus on key topics within quantitative aptitude such as percentages, ratios, averages, profit and loss, time and work, and basic algebra. Additionally, familiarity with statistical concepts like mean, median, mode, and standard deviation can be beneficial, as these concepts often appear in data interpretation scenarios.
5. How important is time management when attempting the Quant Based DI section of the CAT exam?
Ans. Time management is crucial when attempting the Quant Based DI section of the CAT exam. Given the time constraints and the complexity of questions, candidates must develop strategies to quickly analyze data and solve problems. Practicing under timed conditions can help candidates improve their speed and ensure they can answer as many questions as possible within the allotted time.
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