Match List-I with List-II, List-I, List-II, (A) If an inlet pipe can fill a tank in x hours, but due to a leakage in the bottom it is filled in y hours, then time (in hours) taken to empty the tank due to leakage, (I) (yz+zx-xy)/xyz, (B) If two inlet pipes take x & y hours respectively to fill the tank and the third outlet pipe takes z hours to empty the tank. If all three of them are opened together, then the net part of the tank filled in 1 hour, (II) 1/x, (C) If a pipe can fill the tank completely in x hours, then the part of the tank filled in 1 hour, (III) xy/(y-x), (D) If two inlet pipes can fill a tank in x & y hours. If both pipes are opened at the same time, then net part of the tank filled in 1 hour, (IV) (x+y)/xy, Choose the correct answer from the options given below:

Question

Match **List-I** with **List-II** | List-I | List-II | |---|---| | (A) If an inlet pipe can fill a tank in $$x$$ hours, but due to a leakage in the bottom it is filled in $$y$$ hours, then time (in hours) taken to empty the tank due to leakage | (I) $$\dfrac{yz+zx-xy}{xyz}$$ | | (B) If two inlet pipes take $$x$$ & $$y$$ hours respectively to fill the tank and the third outlet pipe takes $$z$$ hours to empty the tank. If all three of them are opened together, then the net part of the tank filled in 1 hour | (II) $$\dfrac{1}{x}$$ | | (C) If a pipe can fill the tank completely in $$x$$ hours, then the part of the tank filled in 1 hour | (III) $$\dfrac{xy}{y-x}$$ | | (D) If two inlet pipes can fill a tank in $$x$$ & $$y$$ hours. If both pipes are opened at the same time, then net part of the tank filled in 1 hour | (IV) $$\dfrac{x+y}{xy}$$ | Choose the **correct** answer from the options given below:

Accepted Answer

(A) - (III), (B) - (I), (C) - (II), (D) - (IV)

Answer

(A) - (III), (B) - (II), (C) - (I), (D) - (IV)

Answer

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

Answer

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

List-I	List-II
(A) If an inlet pipe can fill a tank in $x$ hours, but due to a leakage in the bottom it is filled in $y$ hours, then time (in hours) taken to empty the tank due to leakage	(I) $\dfrac{yz+zx-xy}{xyz}$
(B) If two inlet pipes take $x$ & $y$ hours respectively to fill the tank and the third outlet pipe takes $z$ hours to empty the tank. If all three of them are opened together, then the net part of the tank filled in 1 hour	(II) $\dfrac{1}{x}$
(C) If a pipe can fill the tank completely in $x$ hours, then the part of the tank filled in 1 hour	(III) $\dfrac{xy}{y-x}$
(D) If two inlet pipes can fill a tank in $x$ & $y$ hours. If both pipes are opened at the same time, then net part of the tank filled in 1 hour	(IV) $\dfrac{x+y}{xy}$

Solution

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