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30 May 2026, 09:42
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In a bakery display case, a chocolate tart and a lemon tart were arranged in a single row with the other desserts. Including those two tarts, are there more than 12 desserts in the row?
(1) Counting from the left end of the row, the chocolate tart is the 7th dessert, and counting from the right end of the row, the lemon tart is the 5th dessert.
(2) Exactly 1 dessert is between the chocolate tart and the lemon tart.
(1) Counting from the left end of the row, the chocolate tart is the 7th dessert, and counting from the right end of the row, the lemon tart is the 5th dessert.
(2) Exactly 1 dessert is between the chocolate tart and the lemon tart.
30 May 2026, 09:42
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Official Solution:
In a bakery display case, a chocolate tart and a lemon tart were arranged in a single row with the other desserts. Including those two tarts, are there more than 12 desserts in the row?
(1) Counting from the left end of the row, the chocolate tart is the 7th dessert, and counting from the right end of the row, the lemon tart is the 5th dessert.
This does not fix the total number of desserts. For example, the row could have 12 desserts, in which case the lemon tart would be 8th from the left, or 13 desserts, in which case it would be 9th from the left. So the total could be not more than 12 or more than 12. Not sufficient.
(2) Exactly 1 dessert is between the chocolate tart and the lemon tart.
This tells us only that the two tarts are 2 positions apart. It gives no information about the total number of desserts in the row. Not sufficient.
(1) + (2) From (1), the chocolate tart is 7th from the left and the lemon tart is 5th from the right. From (2), since exactly 1 dessert is between them, the lemon tart must be either 2 places to the left of the chocolate tart or 2 places to the right of it. So the lemon tart must be either 5th or 9th from the left.
We could have the following cases:
{x x x x L x C x x}, giving a total of 9 desserts.
{x x x x x x C x L x x x x}, giving a total of 13 desserts.
Since the answer to the question can be No or Yes, the statements together are not sufficient.
Answer: E
In a bakery display case, a chocolate tart and a lemon tart were arranged in a single row with the other desserts. Including those two tarts, are there more than 12 desserts in the row?
(1) Counting from the left end of the row, the chocolate tart is the 7th dessert, and counting from the right end of the row, the lemon tart is the 5th dessert.
This does not fix the total number of desserts. For example, the row could have 12 desserts, in which case the lemon tart would be 8th from the left, or 13 desserts, in which case it would be 9th from the left. So the total could be not more than 12 or more than 12. Not sufficient.
(2) Exactly 1 dessert is between the chocolate tart and the lemon tart.
This tells us only that the two tarts are 2 positions apart. It gives no information about the total number of desserts in the row. Not sufficient.
(1) + (2) From (1), the chocolate tart is 7th from the left and the lemon tart is 5th from the right. From (2), since exactly 1 dessert is between them, the lemon tart must be either 2 places to the left of the chocolate tart or 2 places to the right of it. So the lemon tart must be either 5th or 9th from the left.
We could have the following cases:
{x x x x L x C x x}, giving a total of 9 desserts.
{x x x x x x C x L x x x x}, giving a total of 13 desserts.
Since the answer to the question can be No or Yes, the statements together are not sufficient.
Answer: E
