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07 Jul 2026, 09:42
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Bookmarks
Let, P = Photography
C = Ceramics
Given,
P U C = 54 .....Eq (i)
18 didnot sign up for photographic,
P = 54 - 18 = 36 ..... Eq (ii)
We need , P intersection C, x= ?
Statement 1:
12 didn't signup for ceramics,
C = 54 - 12 = 42
Thus,
54 = 36 + 42 - x
x = 24
Sufficient
Statement 2:
42 signed up for ceramics, so
C = 42
Again,
54 = 36 + 42 - x
x = 24
Sufficient
Answer : D (Each statement alone is sufficient)
C = Ceramics
Given,
P U C = 54 .....Eq (i)
18 didnot sign up for photographic,
P = 54 - 18 = 36 ..... Eq (ii)
We need , P intersection C, x= ?
Statement 1:
12 didn't signup for ceramics,
C = 54 - 12 = 42
54 = 36 + 42 - x
x = 24
Sufficient
Statement 2:
42 signed up for ceramics, so
C = 42
Again,
54 = 36 + 42 - x
x = 24
Sufficient
Answer : D (Each statement alone is sufficient)
Bunuel
alamin8
Joined: 24 May 2025
Last visit: 29 Aug 2026
Posts: 181
Given Kudos: 32
Location: Bangladesh
Concentration: Accounting, Technology
Schools: HEC Sept '27 INSEAD Aug '27 UNC '27
GPA: 3.89
07 Jul 2026, 09:48
Kudos
Bookmarks
Total = 54
P + C + both P and C = 54 ....... (1)
Since everyone signed up, i.e., P + C + both P, C, hence if photography did not sign up, that means, it will go under both P, C too.
Hence, C = 18
We need both P & C and P alone
ST1: Out of 54, 12 did not sign up for C, meaning, they are also in both P & C.
Therefore, P = 12
Plugging the values in (1)
12 + 18 + Both = 54
Both = 54-30 = 24 (Sufficient)
ST2: Out of 54, 42 signed up for C, meaning, C + Both P&C = 42
We can again find, 18 + Both = 42; Therefore, both = 24 (Sufficient)
In both times, we get 24.
Answer is D. (Each statement alone is sufficient)
P + C + both P and C = 54 ....... (1)
Since everyone signed up, i.e., P + C + both P, C, hence if photography did not sign up, that means, it will go under both P, C too.
Hence, C = 18
We need both P & C and P alone
ST1: Out of 54, 12 did not sign up for C, meaning, they are also in both P & C.
Therefore, P = 12
Plugging the values in (1)
12 + 18 + Both = 54
Both = 54-30 = 24 (Sufficient)
ST2: Out of 54, 42 signed up for C, meaning, C + Both P&C = 42
We can again find, 18 + Both = 42; Therefore, both = 24 (Sufficient)
In both times, we get 24.
Answer is D. (Each statement alone is sufficient)
07 Jul 2026, 09:49
Kudos
Bookmarks
Total participants,54
.: photography(ph) + Ceramics (C) -both
Or, Only ph+Only C+ both
Acc to the question,
Only C=18, We need to find both
Assessing statement 1 alone, Only Ph=12
.: 18+12+Both=54, .:Both=24
.: 1 is alone sufficient, therefore, we have A & D answer choice left. B,C & E is eliminated already.
Assessing statement 2 alone,
Only C+both=42
We know only C=18
.:Both=24
Both the statement alone sufficient. Hence, D is the correct answer.
.: photography(ph) + Ceramics (C) -both
Or, Only ph+Only C+ both
Acc to the question,
Only C=18, We need to find both
Assessing statement 1 alone, Only Ph=12
.: 18+12+Both=54, .:Both=24
.: 1 is alone sufficient, therefore, we have A & D answer choice left. B,C & E is eliminated already.
Assessing statement 2 alone,
Only C+both=42
We know only C=18
.:Both=24
Both the statement alone sufficient. Hence, D is the correct answer.
Bunuel
