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Solving Mixture problems of the GMAT

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Let us take a question on mixtures. We will try to solve it using five different methods A 80 liter solution contains 20% alcohol by volume. A part of the solution is removed and replaced with pure alcohol to bring the alcohol concentration to 25%. What is the volume of the solution that was removed? Method 1 - Using basic percentage computations and setting up an equation Volume of alcohol in the 80 liters solution = 20% of 80 = 20 × 80 ÷ 100 = 16 liters Let volume of solution removed = v liters This will also have 20% alcohol ⇒ Volume of alcohol removed = 20 × v ÷ 100 = 0.2v liters Volume of alcohol added = v liters (Note: replace imples adding a quantity equal to what was removed) Thus, total alcohol volume = (16 - 0.2v + v) = (16 + 0.8v) liters Total solution volume = 80 liters Thus, required percent = [(16 + 0.8v) ÷ 80] × 100 Thus, we have: [(16 + 0.8v) ÷ 80] × 100 = 25 ⇒ 16 + 0.8v = 20 ⇒ v = 5 liters - Answer Method 2 - Using the fact that the concentration of alcohol remains u...
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How to choose an admissions coach

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GMAT preparation – how long does it take?

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GMAT preparation – how long does it take? How long does it take for GMAT preparation? This is one of the most common questions everyone has regarding GMAT preparation. Unfortunately, it isn’t the right question. The right question should have been: How long would it take ‘ me ’ to prepare for the test? Just like any other skill, this takes time to learn. No size fits all – how much time you will take depends on these factors: Learning curve – Which part of the learning curve you are currently in Efficiency – How efficient is your learning process Tools – Whether you are using the right tools (materials and practice questions) for your prep Determine the time you need for your GMAT preparation Take a diagnostic test. You can use our a  GMAT diagnostic  for a start. We will divide the result in 3 categories based on your score: 500 or lower – average prep time to reach 700+ is 5-8 months Between 500 and 600 – average prep time to reach 700+ is 3-5 months Between 600 and 650 – av...
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