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Difficulty:
35%
(medium)
Question Stats:
70% (01:15) correct
30%
(01:07)
wrong
based on 44
sessions
History
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Time
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How many sandwiches were sold today at a certain sandwich stand?
(1) The number of sandwiches sold yesterday is 12 fewer than half of that sold today.
(2) The number sold today is 24 more than twice the number sold yesterday.
(1) The number of sandwiches sold yesterday is 12 fewer than half of that sold today.
(2) The number sold today is 24 more than twice the number sold yesterday.
23 Jan 2026, 00:56
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How many sandwiches were sold today at a certain sandwich stand?
(1) The number of sandwiches sold yesterday is 12 fewer than half of that sold today.
(2) The number sold today is 24 more than twice the number sold yesterday.
Let's assume the total number of sandwiches sold yesterday be equal to 'y' and the number of sandwiches sold today be 't'
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: The number of sandwiches sold yesterday is 12 fewer than half of that sold today.
y = (t/2) - 12
Thus, t = 2y+24
Since there can be multiple possible values of t, we cannot uniquely determine the answer by using Statement 1 alone.
Now, let's consider Statement 2.
Statement 2: The number sold today is 24 more than twice the number sold yesterday.
t = 24 + 2y
In this case too, since there can be many possible values of t, we cannot uniquely determine using Statement 2 alone.
Considering Statement 1 and 2 together too, we cannot determine the value of t as the equation obtained is the same in both the cases.
Hence, the correct answer should be Option E - Neither statement alone nor both statements together are sufficient.
(1) The number of sandwiches sold yesterday is 12 fewer than half of that sold today.
(2) The number sold today is 24 more than twice the number sold yesterday.
Let's assume the total number of sandwiches sold yesterday be equal to 'y' and the number of sandwiches sold today be 't'
Now, let's look at each statement individually and then at both of them together (if required):
Statement 1: The number of sandwiches sold yesterday is 12 fewer than half of that sold today.
y = (t/2) - 12
Thus, t = 2y+24
Since there can be multiple possible values of t, we cannot uniquely determine the answer by using Statement 1 alone.
Now, let's consider Statement 2.
Statement 2: The number sold today is 24 more than twice the number sold yesterday.
t = 24 + 2y
In this case too, since there can be many possible values of t, we cannot uniquely determine using Statement 2 alone.
Considering Statement 1 and 2 together too, we cannot determine the value of t as the equation obtained is the same in both the cases.
Hence, the correct answer should be Option E - Neither statement alone nor both statements together are sufficient.
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