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For I: For pipes of Set ‘P’: Amount of tank filled by 4 pipes in 5 minutes = 80% Amount of tank filled by 4 pipes in 1 minute = 80/5 = 16% For pipes of set ‘Q’: Amount of tank emptied by 5 pipes in 20 minutes = 60% Amount of tank emptied by 5 pipes in 1 minute = 60/20 = 3% Therefore, effective amount of tank filled by all the pipes of both sets in each minute = 16 – 3 = 13% Therefore, amount of tank filled in 4 minutes = 4 × 13 = 52% Therefore, I is true. For II: For pipes of Set ‘P’: Amount of tank filled by 4 pipes in 5 minutes = 64% Amount of tank filled by 4 pipes in 1 minute = 64/5 = 12.8% For pipes of set ‘Q’: Amount of tank emptied by 5 pipes in 20 minutes = 60% Amount of tank emptied by 5 pipes in 1 minute = 60/20 = 3% Therefore, effective amount of tank filled by all the pipes of both sets in each minute = 12.8 – 3 = 9.8% Therefore, amount of tank filled in 4 minutes = 4 × 9.8 = 39.2% Therefore, II is false. For III: For pipes of Set ‘P’: Amount of tank filled by 4 pipes in 5 minutes = 75% Amount of tank filled by 4 pipes in 1 minute = 75/5 = 15% For pipes of set ‘Q’: Amount of tank emptied by 5 pipes in 20 minutes = 60% Amount of tank emptied by 5 pipes in 1 minute = 60/20 = 3% Therefore, effective amount of tank filled by all the pipes of both sets in each minute = 15 – 3 = 12% Therefore, amount of tank filled in 4 minutes = 4 × 12 = 48% Therefore, III is true
Four terms are in proportion. The first, second and fourth terms are 4, 22, and 33. Find the third term.
3 2 2 3 8 ?
...31 33 69 212 ? 4286
...1 2 6 ...
13, 14, 18, 27, 43, ?
104 136 152 160 164 ?
...4 7 24 91 462 2763
18 ...
123 125 129 132 ? 145
42 43 46 ...
2342 2223 2090 1943 1782 ?
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