GATE CE 2015 Set 2 — Question 7
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Question
The given question is followed by two statements; select the most appropriate option that solves the question.Capacity of a solution tank A is 70% of the capacity of tank B. How many gallons of solution are in tank A and tank B?Statements:
(I) Tank A is 80% full and tank B is 40% full.
(II) Tank A if full contains 14,000 gallons of solution.
(I) Tank A is 80% full and tank B is 40% full.
(II) Tank A if full contains 14,000 gallons of solution.
Correct answer
(D) Both the statements I and II together are sufficient.
Solution
Let and be the capacities of tanks A and B respectively. We are given . We need to find the volumes and of solution in the tanks.Statement (I) gives and . Substituting , we have . We have two equations with three unknowns (), so we cannot find unique values.Statement (II) gives . From the initial condition, . This only gives capacities, not the current volumes.Combining (I) and (II): and . Then and . Thus, both statements together are sufficient to answer the question.
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