A chef baked 12 cakes, of which some were strawberry-flavored and the others were chocolate-flavored. How many cakes were chocolate-flavored?(1) For every strawberry-flavored cake, two chocolate-flavored cakes were baked.(2) If both flavors of cakes were sold at $2 per piece, a total revenue of $24 was earned from the sale of the 12 cakes.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?

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A chef baked 12 cakes, of which some were strawberry-flavored and the others were chocolate-flavored. How many cakes were chocolate-flavored?

(1) For every strawberry-flavored cake, two chocolate-flavored cakes were baked.

(2) If both flavors of cakes were sold at $2 per piece, a total revenue of $24 was earned from the sale of the 12 cakes.

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.

Correct answer is option 'A'. Can you explain this answer?

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A chef baked 12 cakes, of which some were strawberry-flavored and the ...

Steps 1 & 2: Understand Question and Draw Inferences

Given that a chef baked some strawberry flavored cakes and some chocolate flavored cakes.

It is given that the total number of cakes is 12.

Let’s say the number of strawberry flavored cakes and number of chocolate flavored cakes are S and C respectively.

S + C = 12 …………… (I)

We need to find the value of C

Step 3: Analyze Statement 1

Statement 1 says that for every strawberry-flavored cake, two chocolate-flavored cakes were baked.

This means:

if 1 straw-berry flavored cake was baked, then 2*1 = 2 chocolate-flavored cakes would be baked

if 2 straw-berry flavored cakes were baked, then 2*2 = 4 chocolate-flavored cakes would be baked

So, if S straw-berry flavored cakes were baked, then 2S chocolate-flavored cakes would be baked

Therefore, number of chocolate-flavored cakes, C = 2S

C = 2S ……………… (II)

Using (II) in (I), we get

S + 2S = 12

3S = 12
S = 4

Therefore from (II)

C = 2 * 4

C = 8

Therefore statement 1 alone is sufficient to arrive at a unique answer.

Step 4: Analyze Statement 2

Statement 2 says that both varieties of cakes are sold at $2 apiece and that the total revenue was $24.

Therefore

2 * S + 2 * C = 24

2 * (S + C) = 24
S + C =12

But we already know this from (I).

Statement 2 doesn’t provide us with any new information.

So statement 2 is not sufficient to arrive at a unique answer.

Step 5: Analyze Both Statements Together (if needed)

We already arrived at a unique answer in step 3. Therefore this step is not required.

Correct Answer: A

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A chef baked 12 cakes, of which some were strawberry-flavored and the others were chocolate-flavored. How many cakes were chocolate-flavored?(1) For every strawberry-flavored cake, two chocolate-flavored cakes were baked.(2) If both flavors of cakes were sold at $2 per piece, a total revenue of $24 was earned from the sale of the 12 cakes.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?

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A chef baked 12 cakes, of which some were strawberry-flavored and the others were chocolate-flavored. How many cakes were chocolate-flavored?(1) For every strawberry-flavored cake, two chocolate-flavored cakes were baked.(2) If both flavors of cakes were sold at $2 per piece, a total revenue of $24 was earned from the sale of the 12 cakes.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A chef baked 12 cakes, of which some were strawberry-flavored and the others were chocolate-flavored. How many cakes were chocolate-flavored?(1) For every strawberry-flavored cake, two chocolate-flavored cakes were baked.(2) If both flavors of cakes were sold at $2 per piece, a total revenue of $24 was earned from the sale of the 12 cakes.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A chef baked 12 cakes, of which some were strawberry-flavored and the others were chocolate-flavored. How many cakes were chocolate-flavored?(1) For every strawberry-flavored cake, two chocolate-flavored cakes were baked.(2) If both flavors of cakes were sold at $2 per piece, a total revenue of $24 was earned from the sale of the 12 cakes.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'A'. Can you explain this answer?.

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