Question
A container is filled with 300 liters of hydrogen gas.
The first day it loses 100 liters of hydrogen gas and everyday it loses one-third of the volume it lost in the previous day. Then the containerSolution
First-day gas lost = 100 L Second day, gas lost = 100/3 = 33.33L Third day, gas lost = 33.33/3 = 11.11 L = 100/32 L Fourth day, gas lost = 11.11/3 = 3.7L = 100/33 L Fifth day, gas lost = 3.7/3 = 1.23L Sixth day, gas lost = 1.23/4 = 0.41L Seventh-day, gas lost = 0.41/3 = 0.137L Eighth day, gas lost = 0.137/3 = 0.045L Ninth day, gas lost = 0.045/3 = 0.015L Tenth day, gas lost = 0.015/3 = 0.005L Total gas loss is equal to 149.982L On 100Th day = 100/399 L Total lost in 100 day = 100 + 100/3 + 100/32 + .... + 100/399 = 100 [(1+ 1/3 + 1/32 + 1/33)/(1-(1/3))] = 150 [1 - (1/3100)] ∴ Possesses at least 150 litres of hydrogen gas on 100th day
86, 127, ?, 209, 250, 291
12, 16, ?, 48, 76, 112
- What will come in place of the question mark (?) in the following series?
29, 32, 41, 68, ?, 392 What will come in place of the question mark (?) in the following series?
48, 291, ?, 399, 408, 411
99, 101, 107, 131, 251, ?
56, 27, 14.5, 6.25, ?, 1.0625
4, 12, 36, 108, ?, 396
4, 4, 5, ? , 248, 1248
75, 80, 95, ?, 155, 200
96, 144, ?, 324, 486, 729, 1093.5
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