Comprehension
There are nine boxes arranged in a 3×3 array as shown in Tables 1 and 2. ![There are nine boxes arranged in a 3×3 array]()
Each box contains three sacks. Each sack has a certain number of coins, between 1 and 9, both inclusive.
The average number of coins per sack in the boxes are all distinct integers. The total number of coins in each row is the same.
The total number of coins in each column is also the same. Table 1 gives information regarding the median of the numbers of coins in the three sacks in a box for some of the boxes. In Table 2 each box has a number which represents the number of sacks in that box having more than 5 coins. That number is followed by a * if the sacks in that box satisfy exactly one among the following three conditions, and it is followed by ** if two or more of these conditions are satisfied.
i) The minimum among the numbers of coins in the three sacks in the box is 1.
ii) The median of the numbers of coins in the three sacks is 1.
iii) The maximum among the numbers of coins in the three sacks in the box is 9.
Each box contains three sacks. Each sack has a certain number of coins, between 1 and 9, both inclusive.
The average number of coins per sack in the boxes are all distinct integers. The total number of coins in each row is the same.
The total number of coins in each column is also the same. Table 1 gives information regarding the median of the numbers of coins in the three sacks in a box for some of the boxes. In Table 2 each box has a number which represents the number of sacks in that box having more than 5 coins. That number is followed by a * if the sacks in that box satisfy exactly one among the following three conditions, and it is followed by ** if two or more of these conditions are satisfied.
i) The minimum among the numbers of coins in the three sacks in the box is 1.
ii) The median of the numbers of coins in the three sacks is 1.
iii) The maximum among the numbers of coins in the three sacks in the box is 9.
Question: 1
For how many boxes are the average and median of the numbers of coins contained in the three sacks in that box the same?
For how many boxes are the average and median of the numbers of coins contained in the three sacks in that box the same?
Updated On: Nov 25, 2025
Question: 2
How many sacks have exactly one coin?
How many sacks have exactly one coin?
Updated On: Nov 25, 2025
Question: 3
In how many boxes do all three sacks contain different numbers of coins?
In how many boxes do all three sacks contain different numbers of coins?
Updated On: Nov 25, 2025
Question: 4
How many boxes have at least one sack containing 9 coins?
How many boxes have at least one sack containing 9 coins?
Updated On: Nov 25, 2025
- 3
- 4
- 5
- 8
Question: 5
What is the total number of coins in all the boxes in the 3rd row?
What is the total number of coins in all the boxes in the 3rd row?
Updated On: Nov 25, 2025
- 45
- 15
- 36
- 30
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