Each of the questions given below consists of two statements numbered I and II given below it. Please read the questions carefully and decide whether the data provided in the statement(s) is / are sufficient to answer the given question.

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1.

A tank is filtered with two inlet pipes $A$ and $B$. Both the pipes are kept open for $10$ minutes so that the tank is $\frac{2}{3}$ full and then pipe $A$ is closed. How much time will $B$ take to fill the remaining part of the tank ?

**I.** Pipe $A$ is thrice as fast as pipe $B$.

**II.** Pipe $B$ alone can fill the tank in $60$ minutes.

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

2.

Two taps $A$ and $B$ , when opened together, can fill a tank in $6$ hours. How long will it take for the pipe $A$ alone to fill the tank ?

**I.** $B$ alone take $5$ hours more than $A$ to fill the tank.

**II.** The ratio of the time taken by $A$ to that taken by $B$ to fill the tank is $2:3$

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

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