Question
Time taken by pipes 'X', 'Y' and 'Z' to fill a tank is
48 minutes, 80 minutes and 60 minutes respectively. All the pipes are opened together. 'X' is closed after 't' minutes, and 'Y' is closed (2t - 1) minutes before the tank is filled. If the tank is filled in 35 minutes, then determine the value of 't'.ÂSolution
ATQ, Let the total capacity of tank be 240 litres (LCM of 48, 60 and 80) Efficiency of 'X' = (240/48) = 5 litres/minute Efficiency of 'Y' = (240/80) = 3 litres/minute Efficiency of 'Z = (240/60) = 4 litres/minutes So, (5 + 3 + 4) × t + (3 + 4) × (35 - t - 2t + 1) + 4 × (2t - 1) = 240 Or, 12t + 252 - 21t + 8t - 4 = 240 Or, 't' = 8
Statements:
Only a few A are B.
No B is C.
All C are Z.
Conclusions:
I. Some A can be B.
II. Some C can...
Statements: Some racks are tables.
Some tables are chairs.
No chair is a book.
Conclusions: I. Some racks are chairs.
<...Statements:a.Some dogs are not rats
b. Some rats are lions
Conclusions:I. Some dogs are not lions
II. Some lions are not dogs
Statements:
Only Book is Pen.
No Book is Pencil.
Some Pencil are Eraser.
Conclusion:
I. Some Eraser can be Pen.<...
Statements: Only books are staplers.
All pencils are books.
All pencils are glasses.
No glass is a jug.
Conclusions: I....
Statements:
Some Cable are Table
No Table are Chair
All Chair are Rack
Conclusions:
I) Â Some Cable are not Rack...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance...
Statements:
Only a few Triangle are Circle.
Some Circle are Square.
Only Square are Rectangle .
No Circle is a Cubo...
Statements:
Some TVs are laptops.
Some laptops are computers.
All computers are mobiles.
All mobiles are radios.
...
- Statements:
Some second is minute
Mostly minute is hour
All hour is time
Conclusions:
I. Some time is second
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