Question
Two pipes P and Q can fill tank A in 36 minutes and 72
minutes respectively and empty pipe M can empty the tank in 54 minutes. Tank A has the capacity of 216 liters. If all three pipes opened in tank B for (x – 48) minutes together they filled 60 liter of the tank which is 25% of the quantity of tank B. Find in x minutes what portion of tank B filled, if all pipe P and Q and M opened alternatively in each minute starting with P, followed by Q and M respectivelySolution
For tank A- Pipes P – 36 min, Q – 72 min & M=- 54 min Total quantity = 216 units Efficiency of P = 216/36 = 6 units/min Efficiency of Q = 216/72 = 3 units/min Efficiency of M = 216/54 = (- 4) units/min According to the questions: For tank B — 6 (x – 48) + 3 (x – 48) – 4 (x – 48) = 60 6x – 288 + 3x – 144 – 4x + 192 = 60 5x = (288 + 144 + 60 – 192)    x = 300/5 = 60 minutes Total quantity of tank B = 60 × 4 = 240 liter Alternatively (P + Q – M) for 60 minutes, means each pipe for 20 minutes— All three in 14 minutes (P + Q – M) = 20 × 6 + 20 × 3 – 20 × 4 = 100 liters    Filled portion = 100/240 = 5/12
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if t...
In the question below some statements are given followed by four conclusions I, II, III and IV. You have to take the given statements to be true even i...
Statements: Onion % Brinjals Brinjals # Tomato Cauliflower & Cucumber Tomato @ Cauliflower
Conclusion:
I. Cauliflower $ Brinjals
II...
Statements:
No Platform is a Train.
Only a few Trains are Hoardings.
Only a few Hoardings are Signals.
Conclusions:
...Statements :
Only a few Boat are Ship
Some Ship are River
All River are Fish
Conclusion :
I. Some Boat are Fish
Statement:
Each girl is boy.
Only a few girls are men.
Few girls are not women.
Conclusion:
1. All boys can be wome...
In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true ev...
Statements:Â
Only poles are wires
Only few poles are ornaments
All ornaments are copper
Conclusion:
I. All po...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if t...
Three statements are given followed by three conclusions numbered I, II, and III assuming the statements to be true, even if they seem to be at varian...
Relevant for Exams:
