Question
A vessel contains a mixture of milk and water in the
ratio 3: 2. If 10 liters of the mixture are taken out and replaced with 10 liters of water, the ratio of milk to water becomes 2: 3. What is the total volume of the mixture in the vessel?Solution
Let the total volume of the mixture be 5x liters (since the ratio is 3: 2). Initially, quantity of milk = 3x liters, and water = 2x liters. After removing 10 liters of the mixture and adding 10 liters of water: Milk left = 3x - 6 liters. Water left = 2x + 6 liters. New ratio = (3x – 6): (2x + 6) = 2: 3. Cross-multiplying and solving: 9x - 18 = 4x + 12 5x = 30 x = 6 Total volume of the mixture = 5x = 30 liters.
612, 487,?, 396, 388, 387
Find the missing number in the given number series.
1, 2, 6, 24, 120, ?What will come in place of the question mark (?) in the following series?
36, 85, ?, 230, 330, 451
Find the missing term in the series:
2, 5, 11, 23, 47, ?
What will come in place of the question mark (?) in the following series?
400, 841, 1202, ?, 1716, 1885
44   45    41   50    ?      59    23
...221, 100, 0, -81, ?
...900 Â Â Â 90Â Â Â 18Â Â Â ? Â Â Â Â 2.16Â Â Â Â 1.08
16, 20, 11, 27, ?, 38
37, 57, 82, ?, 147, 187
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