Comprehension
There are nine boxes arranged in a 3×3 array as shown in Tables 1 and 2. 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.
![the median of the numbers of coins in the three sacks in a box for some of the boxes]()
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.
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
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
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The Correct Option is C
Solution and Explanation
The objective is to count the number of boxes containing at least one sack with 9 coins. The problem involves two 3x3 tables, each comprising 9 boxes, with each box containing 3 sacks. The criteria for identification are as follows:
- Boxes in Table 1 where the median is 9 automatically satisfy the condition of having at least one sack with 9 coins.
- In Table 2, boxes marked with "**" indicate that two or more specified conditions are met, including condition (iii), which guarantees a sack with 9 coins.
Based on these rules, the boxes to be counted are:
- All boxes from Table 1 with a median of 9.
- All boxes from Table 2 marked with "**".
The total count derived from these conditions is 5 boxes, each containing at least one sack with 9 coins.
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