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What is the capacity, in liters, of a certain aquarium?

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What is the capacity, in liters, of a certain aquarium?

by BTGmoderatorLU » Tue Aug 13, 2019 5:47 pm

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Source: GMAT Paper Tests

What is the capacity, in liters, of a certain aquarium?

1) Three liters is \(\frac{1}{2}\) of the capacity of the aquarium.
2) )ne-half liters is \(\frac{1}{12}\) of the capacity of the aquarium.

The OA is D
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Aug 15, 2019 11:46 pm

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BTGmoderatorLU wrote:Source: GMAT Paper Tests

What is the capacity, in liters, of a certain aquarium?

1) Three liters is \(\frac{1}{2}\) of the capacity of the aquarium.
2) )ne-half liters is \(\frac{1}{12}\) of the capacity of the aquarium.

The OA is D
Say the capacity, in liters, of the aquarium is x. We have to get the value of x.

Let's take each statement one by one.

1) Three liters is \(\frac{1}{2}\) of the capacity of the aquarium.

=> 3 = x/2 => x = 6 liters. Sufficient

2) One-half liters is \(\frac{1}{12}\) of the capacity of the aquarium.

1/2 = x/12 => x = 6 liters. Sufficient

The correct answer: D

Hope this helps!

-Jay
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by Brent@GMATPrepNow » Fri Aug 16, 2019 5:09 am

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BTGmoderatorLU wrote:Source: GMAT Paper Tests

What is the capacity, in liters, of a certain aquarium?

1) Three liters is \(\frac{1}{2}\) of the capacity of the aquarium.
2) )One-half liters is \(\frac{1}{12}\) of the capacity of the aquarium.

The OA is D
Target question: What is the capacity, in liters, of a certain aquarium?

Statement 1: Three liters is 1/2 of the capacity of the aquarium.
If 3 liters = half the capacity, then 6 liters = the entire capacity
The answer to the target question is the capacity is 12 liters
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: One-half liters is 1/12 of the capacity of the aquarium.
Let C = capacity
So, 1/12 of C = 0.5 liters
In other words, C/12 = 0.5
Multiply both sides by 12 to get: C = (0.5)(12) = 6
The answer to the target question is the capacity is 12 liters
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
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by deloitte247 » Sat Aug 17, 2019 2:41 pm

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Statement 1=> Three liters is 1/2 of the capacity of the aquarium.
Let the capacity of aquarium = c
3 liters = 1/2 of c
3 = 1/2 c
c = 3*2 = 6 litres; statement 1 is SUFFICIENT.

Statement 2=> One-half liters is 1/2 of the capacity of the aquarium
Let the capacity of aquarium = c
1/2 liters = 1/12 of c
1/2 = 1/12 c
c = 12/2 = 6 liters. Statement 2 is SUFFICIENT.

Each statement alone is SUFFICIENT.
Therefore, option D is the correct answer.
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