Water is taken out of a cylindrical bucket by filling a cylindrical mug to the brim. How many mugs of water does the bucket contain? The height of the bucket is three times the height of the mug and the radius of the bucket is twice the diameter of the mug The bucket is filled to 70 percent of its capacitya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?

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Water is taken out of a cylindrical bucket by filling a cylindrical mug to the brim. How many mugs of water does the bucket contain?

The height of the bucket is three times the height of the mug and the radius of the bucket is twice the diameter of the mug
The bucket is filled to 70 percent of its capacity

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
d)
EACH statement ALONE is sufficient to answer the question asked.
e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

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

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Water is taken out of a cylindrical bucket by filling a cylindrical mu...

Steps 1 & 2: Understand Question and Draw Inferences

Given:

Water in a cylindrical bucket:
- Let the radius of the bucket be R and the height of water in the bucket be H
- So, the volume of the water in the bucket, V = πR²H

Cylindrical Mug:
- Let the radius of the mug be r and the height of mug be h
- So, the volume of the mug, v = πr²h

To find: Number of mugs of water in the bucket

Step 3: Analyze Statement 1 independently

Statement 1 says that ‘The height of the bucket is three times the height of the mug and the radius of the bucket is twice the diameter of the mug’

Statement 1 gives us the ratio R/r but doesn’t give us the other required ratio, H/h
Therefore, Statement 1 alone is not sufficient to answer the question

Step 4: Analyze Statement 2 independently

Statement 2 says that ‘The bucket is filled to 70 percent of its capacity’

This means, (Volume of water in the bucket) = 70% of (Volume of Bucket)
We have assumed the height of water in the bucket to be H. Let’s now assume the height of the bucket to be B

Note that this statement has given us no information about the required ratios, RrandHh

So, Statement 2 is not sufficient

Step 5: Analyze Both Statements Together (if needed)

Thus, we now know the values of both the required ratios, R/r and H/h
So, the 2 statements together are sufficient to answer the question

Answer: Option C

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Water is taken out of a cylindrical bucket by filling a cylindrical mug to the brim. How many mugs of water does the bucket contain? The height of the bucket is three times the height of the mug and the radius of the bucket is twice the diameter of the mug The bucket is filled to 70 percent of its capacitya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?

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Water is taken out of a cylindrical bucket by filling a cylindrical mug to the brim. How many mugs of water does the bucket contain? The height of the bucket is three times the height of the mug and the radius of the bucket is twice the diameter of the mug The bucket is filled to 70 percent of its capacitya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. 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 Water is taken out of a cylindrical bucket by filling a cylindrical mug to the brim. How many mugs of water does the bucket contain? The height of the bucket is three times the height of the mug and the radius of the bucket is twice the diameter of the mug The bucket is filled to 70 percent of its capacitya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water is taken out of a cylindrical bucket by filling a cylindrical mug to the brim. How many mugs of water does the bucket contain? The height of the bucket is three times the height of the mug and the radius of the bucket is twice the diameter of the mug The bucket is filled to 70 percent of its capacitya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer?.

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