A Bucket was Placed Under a Dripping Tap which was Dripping at a Uniform Rate GMAT Data Sufficiency

Question: A bucket was placed under a dripping tap, which was dripping at a uniform rate. At what time was the bucket full?

(1) The bucket was put in place at 2 p.m.
(2) The bucket was half full at 6 p.m. and three-quarters full at 8 p.m. on the same day.

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.

“A bucket was placed under a dripping tap which was dripping at a uniform rate” - is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation:

Approach Solution 1:

In the stated scenario, a bucket was set down beneath a dripping tap that was dripping on a uniform. It was raining continuously.

If the number can be represented by a limited number of non-zero decimal digits, that is what has to be determined.

(1) The bucket was placed in position at 2:00 PM, which is insufficient because we don't know the rate.

(2) On the same day, the bucket was half full at 6 pm and three-quarters full at 8 pm.

1/4 of the bucket took two hours to fill. So at ten o'clock the bucket was full.

Sufficient.

Correct Answer: B

Approach Solution 2:

In the stated scenario, a bucket was set down beneath a dripping tap that was dripping on a uniform. It was raining continuously.

(1) At 2:00 p.m., the bucket was placed.
We are aware of the precise moment the bucket was submerged in water. However, there is no information given that will enable us to determine when the bucket will be filled.
Consequently, it is not enough to obtain the solution.

(2) On the same day, the bucket was half full at 6 pm and three-quarters full at 8 pm.
We were informed that the bucket was only half filled at six o'clock.
The bucket capacity is b.
At 6:00 pm, 1/2 b was full.
At 8:00 p.m., 3/4 of B was then occupied.
This indicates that 1/4 of b was filled in 2 hours.
So, by 10 p.m., the bucket will be full.

Therefore, it is sufficient to obtain the response.

Correct Answer: B

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