Question
Pipes 'X' and 'Y' can fill a tank in 30 minutes and 45
minutes respectively. Both are opened together. After the tank is half full, a leak develops which drains (1/3)rd of the incoming water. Find the total time taken to fill the tank.Solution
Let the tank capacity be 90 litres (LCM of 30 and 45)
Efficiency of 'X' = 90 ÷ 30 = 3 litres/min
Efficiency of 'Y' = 90 ÷ 45 = 2 litres/min
Time to fill half = (0.5 × 90) ÷ (3 + 2) = 45 ÷ 5 = 9 minutes
Effective rate after leak = (2/3) × (3 + 2) = 10/3 litres/min
Time to fill remaining = 45 ÷ (10/3) = 13.5 minutes
Total time = 9 + 13.5 = 22.5 minutes
Three series are provided below. You need to determine the values of A, B, and C and subsequently establish a relationship among them.
I: 4, 10...
There are three series given below which are following with the same pattern.
Series I: 1, 12, 38, 193, 1355
Series II: 6, B, C, D, E
...6 6 13 39 ? 226
...If 14, 32, x, 50, -13, 86,
then, find the value of (10x + 5x – 20)?
...18, 32, 50, 82, 132, ?
Direction: Which of the following will replace ‘?’ in the given question?
342, ‘?’, 420, 462, 506, 552, 60
11 28 47 70 ? 130
...231 451 671 242 485 264
...21 11.5 13 ? 45.5 116.75
...18, 25, 33, 42, 52, 63, ?
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