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08 Jul 2026, 06:06
Kudos
Bookmarks
Let,
Participants who signed up for only for photography = x
Participants who signed up for ceramics and photography = y
Participants who signed up for only ceramics = z
We know that,
Participants who signed up for photography,ceramics or both = 54 = Total number of participants = x+y+z
Participants who signed up for only ceramics = z = 18
=> x+y+z = 54
=> x+y = 36
We need to find out y
We are given statements,
(1) -> Of the 54 participants, 12 didnt sign for ceramics
We can say that,
x = 12
=> 12 + y = 36
=> y =24
Statement(1) is sufficient
(2) -> Of the 54 participants, 42 signed up for ceramics
We can say that,
y+z = 42
=> y + 18 = 42
=> y = 24
Statement (2) is sufficient
D. Each statement alone is sufficient
Participants who signed up for only for photography = x
Participants who signed up for ceramics and photography = y
Participants who signed up for only ceramics = z
We know that,
Participants who signed up for photography,ceramics or both = 54 = Total number of participants = x+y+z
Participants who signed up for only ceramics = z = 18
=> x+y+z = 54
=> x+y = 36
We need to find out y
We are given statements,
(1) -> Of the 54 participants, 12 didnt sign for ceramics
We can say that,
x = 12
=> 12 + y = 36
=> y =24
Statement(1) is sufficient
(2) -> Of the 54 participants, 42 signed up for ceramics
We can say that,
y+z = 42
=> y + 18 = 42
=> y = 24
Statement (2) is sufficient
D. Each statement alone is sufficient
08 Jul 2026, 06:14
Kudos
Bookmarks
Bunuel
D. Each statement alone is sufficient.
Statement 1 tells us that 12 participants did not sign up for ceramics, which implies 42 took ceramics. Since we know that 18 people did not take photography and that participants who took neither ceramics and photography is 0, there were 18 participants who took ceramics but not photography. Subtracting 18 from 42 gives us the number of participants who took photography and ceramics (24).
Statement 2 tells us the same thing as statement 1, and hence it is also sufficient.
08 Jul 2026, 06:16
Kudos
Bookmarks
Will be referencing
Photography only - a
Ceramics only - c
Photography and Ceramics - b
Given-
1) a + b + c = 54 (1)
2) c = 54-18 = 36 (2)
To find- b
Note that both the statements give the same information - 12 people did not sign up for ceramic means 42 people signed up for ceramic. Hence answer can only be D or E.
Statement 1 and 2 gives ~
b + c = 42
We already know c = 36, hence b = 6
Each statement alone is sufficient
Photography only - a
Ceramics only - c
Photography and Ceramics - b
Given-
1) a + b + c = 54 (1)
2) c = 54-18 = 36 (2)
To find- b
Note that both the statements give the same information - 12 people did not sign up for ceramic means 42 people signed up for ceramic. Hence answer can only be D or E.
Statement 1 and 2 gives ~
b + c = 42
We already know c = 36, hence b = 6
Each statement alone is sufficient
