UPSC Prelims 2017·CSAT·Quantitative Aptitude·Arithmetic

There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to

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Last updated 23 May 2026, 3:31 pm IST
  1. A25%Correct
  2. B30%
  3. C35%
  4. D40%

Explanation

Here's a brief explanation: 1. **Initial Sample:** A milk sample has 50% water. This means if you take any amount of this sample, half of it is water and half is pure milk. 2. **1/3rd of the Sample:** Let's assume we take 100 units of this original sample. It will contain 50 units of water and 50 units of pure milk. 3. **Adding Pure Milk:** This 100 units (from step 2) is added to an "equal amount" of pure milk. So, we add another 100 units of pure milk (which contains 0 water). 4. **New Mixture Composition:** * Total volume of the new mixture = 100 units (from sample) + 100 units (pure milk) = 200 units. * Total water in the new mixture = 50 units (from sample) + 0 units (from pure milk) = 50 units. 5. **Water Percentage:** The percentage of water in the new mixture is (Total water / Total volume) * 100 = (50 / 200) * 100 = (1/4) * 100 = 25%. Therefore, the water in the new mixture will fall down to 25%. **Option Analysis:** * **A) 25%:** This is the correct percentage calculated. * **B) 30%:** Incorrect. * **C) 35%:** Incorrect. * **D) 40%:** Incorrect.
Quantitative Aptitude: There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in

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