Arithmetic Sufficiency

Q: How long will it take for Pipe A to fill the tank? I. Pipe A and Pipe B together fill the tank in 6 hours. II. Pipe B is an emptying pipe.

Correct Answer: Option D (Statements I and II together are not sufficient.). Statement I provides a combined rate, but Statement II only gives the qualitative nature of Pipe B (emptying) without its actual rate. We cannot calculate Pipe A's individual rate. Not sufficient.

Q: What is the capacity of the tank? I. An inlet pipe fills it at a rate of 5 liters per minute. II. An outlet pipe empties the full tank in 20 minutes.

Correct Answer: Option D (Statements I and II together are not sufficient.). To find capacity using an inlet rate, we need to know how long the inlet pipe takes to fill the tank. Neither statement provides the fill time for the inlet pipe. The data is insufficient.

Q: How long will it take to fill the tank if both pipes A and B are open simultaneously? I. Pipe A fills the tank in 12 hours. II. Pipe B empties the tank in 15 hours.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Together: Net filling rate = 1/12 - 1/15 = 5/60 - 4/60 = 1/60. It will take 60 hours. Both statements are required.

Q: Is the tank completely filled after the given operations? I. Pipe A, which fills in 10 hours, is kept open for 6 hours. II. Pipe B, which fills in 15 hours, is kept open for 5 ho...

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Together: Work done by A = 6/10 = 0.6. Work done by B = 5/15 = 0.333. Total filled = 0.6 + 0.333 = 0.933. Since this is less than 1, the tank is not completely filled. Both are required.

Q: Which pipe is faster, X or Y? I. Pipe X fills the tank in exactly half the time Pipe Y takes. II. Pipe Y takes 10 hours to fill the tank alone.

Correct Answer: Option A (Statement I alone is sufficient, but Statement II alone is not.). Statement I directly establishes the relative speeds (X takes half the time, hence X is twice as fast). Statement I alone is sufficient. Statement II is unnecessary.

50 Questions

Practice Arithmetic Sufficiency questions with answers and step-by-step solutions. These problems are curated from recent campus placement test papers (TCS, Infosys, Wipro, Cognizant, Accenture) and competitive government exams (SSC CGL, Bank PO, RRB NTPC, UPSC).

Quick Mode: Practice Questions Timed Mock Test

Arithmetic Sufficiency: Directions & Problem Statements Shared for questions below

DirectionsSet 8: Pipes & Cisterns

Q36

How long will it take for Pipe A to fill the tank?
I. Pipe A and Pipe B together fill the tank in 6 hours.
II. Pipe B is an emptying pipe.

medium

Q37

What is the capacity of the tank?
I. An inlet pipe fills it at a rate of 5 liters per minute.
II. An outlet pipe empties the full tank in 20 minutes.

medium

Q38

How long will it take to fill the tank if both pipes A and B are open simultaneously?
I. Pipe A fills the tank in 12 hours.
II. Pipe B empties the tank in 15 hours.

medium

Q39

Is the tank completely filled after the given operations?
I. Pipe A, which fills in 10 hours, is kept open for 6 hours.
II. Pipe B, which fills in 15 hours, is kept open for 5 hours.

medium

Q40

Which pipe is faster, X or Y?
I. Pipe X fills the tank in exactly half the time Pipe Y takes.
II. Pipe Y takes 10 hours to fill the tank alone.

medium

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Arithmetic Sufficiency

How long will it take for Pipe A to fill the tank?
I. Pipe A and Pipe B together fill the tank in 6 hours.
II. Pipe B is an emptying pipe.

Community Discussion & Shortcut Formulas

What is the capacity of the tank?
I. An inlet pipe fills it at a rate of 5 liters per minute.
II. An outlet pipe empties the full tank in 20 minutes.

Community Discussion & Shortcut Formulas

How long will it take to fill the tank if both pipes A and B are open simultaneously?
I. Pipe A fills the tank in 12 hours.
II. Pipe B empties the tank in 15 hours.

Community Discussion & Shortcut Formulas

Is the tank completely filled after the given operations?
I. Pipe A, which fills in 10 hours, is kept open for 6 hours.
II. Pipe B, which fills in 15 hours, is kept open for 5 hours.

Community Discussion & Shortcut Formulas

Which pipe is faster, X or Y?
I. Pipe X fills the tank in exactly half the time Pipe Y takes.
II. Pipe Y takes 10 hours to fill the tank alone.

Community Discussion & Shortcut Formulas

Arithmetic Sufficiency

How long will it take for Pipe A to fill the tank? I. Pipe A and Pipe B together fill the tank in 6 hours. II. Pipe B is an emptying pipe.

Community Discussion & Shortcut Formulas

What is the capacity of the tank? I. An inlet pipe fills it at a rate of 5 liters per minute. II. An outlet pipe empties the full tank in 20 minutes.

Community Discussion & Shortcut Formulas

How long will it take to fill the tank if both pipes A and B are open simultaneously? I. Pipe A fills the tank in 12 hours. II. Pipe B empties the tank in 15 hours.

Community Discussion & Shortcut Formulas

Is the tank completely filled after the given operations? I. Pipe A, which fills in 10 hours, is kept open for 6 hours. II. Pipe B, which fills in 15 hours, is kept open for 5 hours.

Community Discussion & Shortcut Formulas

Which pipe is faster, X or Y? I. Pipe X fills the tank in exactly half the time Pipe Y takes. II. Pipe Y takes 10 hours to fill the tank alone.

Community Discussion & Shortcut Formulas

How long will it take for Pipe A to fill the tank?
I. Pipe A and Pipe B together fill the tank in 6 hours.
II. Pipe B is an emptying pipe.

What is the capacity of the tank?
I. An inlet pipe fills it at a rate of 5 liters per minute.
II. An outlet pipe empties the full tank in 20 minutes.

How long will it take to fill the tank if both pipes A and B are open simultaneously?
I. Pipe A fills the tank in 12 hours.
II. Pipe B empties the tank in 15 hours.

Is the tank completely filled after the given operations?
I. Pipe A, which fills in 10 hours, is kept open for 6 hours.
II. Pipe B, which fills in 15 hours, is kept open for 5 hours.

Which pipe is faster, X or Y?
I. Pipe X fills the tank in exactly half the time Pipe Y takes.
II. Pipe Y takes 10 hours to fill the tank alone.