Question
55 litres of a solution contains alcohol and water in
the ratio 2:3. Water is added in the solution. The new mixture has a ratio of alcohol and water as 1:5. Find the quantity of water added.Solution
Let initial quantity of alcohol and water be 2x and 3x. ⇒  2x + 3x = 55 ⇒  5x = 55 ⇒  x = 11 Initial quantity of alcohol = 2x ⇒  22 litres Initial quantity of water = 3x ⇒  33 litres Let the water to be added be x litres. 22/(33 + x) = 1/5 ⇒  110 = 33 + x ⇒  77 = x Therefore, quantity of water added is 77 litres.
What value should come in the place of (?) in the following number series?
178, ?, 692, 861, 982, 106331Â Â Â 40Â Â Â 51Â Â Â 64Â Â Â 79Â Â Â Â ?
What will come in place of the question mark (?) in the following series?
92, 153, 220, ?, 364, 443
32, 48, 72, 108, ?, 243
10, 10, 15, 30, 75, ?
17, 36, 65, 104, 153, ?
12, 16, ?, 48, 76, 112
114, 146, 210, 306, 434, ?
What will come in place of (?) Question mark in the given number series.
10, 15, 30, 75, 225, 787.5, ?
5, 18, 39, ?, 105, 150