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06 Mar 2018, 04:16
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (01:45) correct
26%
(02:05)
wrong
based on 227
sessions
History
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Not Attempted Yet
There are two tanks A, B. After 100 litres of water got drained from tank A and moved to to tank B, the volume of water in tank B increased by 20 percent. What was the original volume of water in tank A?
1) Before the 100 litres were drained and moved, the sum of the volume of water in the two tanks was 900 litres.
2) After the 100 litres were drained and moved, the volume of water left in tank A was half the volume of water in tank B.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
1) Before the 100 litres were drained and moved, the sum of the volume of water in the two tanks was 900 litres.
2) After the 100 litres were drained and moved, the volume of water left in tank A was half the volume of water in tank B.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
06 Mar 2018, 09:04
Kudos
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Let, volume of water in tank A and B be V_a and V_b respectively. Given : 100 = (20/100)* V_b
Thus, V_b = 500 litres
Statement 1 : V_a + V_b = 900
Also, V_b = 500. Thus, V_a = 400.
Sufficient.
Statement 2 : After V_b = 500 + 100 = 600
V_a' = (1/2) V_b' = (1/2)* 600 = 300
V_a' = 300 + 100 = 400
Sufficient.
Thus, both statements are alone sufficient to answer the question.
I go with D.
Sent from my Lenovo K53a48 using GMAT Club Forum mobile app
Thus, V_b = 500 litres
Statement 1 : V_a + V_b = 900
Also, V_b = 500. Thus, V_a = 400.
Sufficient.
Statement 2 : After V_b = 500 + 100 = 600
V_a' = (1/2) V_b' = (1/2)* 600 = 300
V_a' = 300 + 100 = 400
Sufficient.
Thus, both statements are alone sufficient to answer the question.
I go with D.
Sent from my Lenovo K53a48 using GMAT Club Forum mobile app
General Discussion
19 Mar 2018, 13:22
Kudos
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SOLUTION
We are given:
- • After \(100\) litres of water is moved from tank A to tank B, the volume of water in tank B is increased by \(20\) percent.
Let us assume:
- • The volume of water in tank A= x litres
• The Volume of water in tank B =y litres.
Thus,
- • \(\frac{20}{100}\)\(*y\)=\(100\)
• \(y=500\)
We need to find:
- • What is the value of \(x\)?
Statement-1: “Before the \(100\) litres were drained and moved, the sum of the volume of water in the two tanks was \(900\)litres”.
- • \(x + y= 900\)
• \(x = 400\) litres
Thus, statement 1 alone is sufficient to answer the question.
Statement-2: “After the \(100\)litres were drained and moved, the volume of water left in tank A was half the volume of water in tank B”.
- • \(x-100\)= \(\frac{1}{2}\)* (y+100)
• \(2x-200\)= \(500+100\)
• \(2x=800\)
• \(x=400\)
Thus, statement 2 alone is sufficient to answer the question.
We can find the answer by each of the statement alone.
Answer: D
