Arithmetic Sufficiency

Q: What is the speed of the boat in still water? I. It travels 24 km downstream in 2 hours. II. It travels the same distance upstream in 3 hours.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From I: B + S = 24/2 = 12. From II: B - S = 24/3 = 8. Together: 2B = 20 => B = 10 km/hr. Both are required.

Q: What is the speed of the stream? I. The speed of the boat in still water is 15 km/hr. II. The boat takes twice as much time to go upstream as it takes to go downstream.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From II: Distance/(B-S) = 2 * (Distance/(B+S)) => B+S = 2B - 2S => B = 3S. From I: B = 15. Together: 3S = 15 => S = 5 km/hr. Both are required.

Q: What is the distance covered by the boat? I. It travels downstream for 4 hours. II. The speed of the stream is 3 km/hr.

Correct Answer: Option D (Statements I and II together are not sufficient.). To find distance (Time * Downstream Speed), we need the downstream speed (Boat + Stream). We lack the speed of the boat in still water. The data is insufficient.

Q: What is the downstream speed of the boat? I. The upstream speed is 10 km/hr. II. The speed of the boat in still water is 14 km/hr.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From I: B - S = 10. From II: B = 14. Together: 14 - S = 10 => S = 4. Downstream speed = B + S = 14 + 4 = 18 km/hr. Both are required.

Q: How long will the boat take to travel 60 km in still water? I. The boat travels 30 km downstream in 2 hours. II. The speed of the stream is 5 km/hr.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From I: Downstream speed (B+S) = 30/2 = 15 km/hr. From II: S = 5 km/hr. Together: B + 5 = 15 => B = 10 km/hr. Time for 60km = 60/10 = 6 hours. Both are required.

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).

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Arithmetic Sufficiency: Directions & Problem Statements Shared for questions below

DirectionsSet 10: Boats & Streams

Q46

What is the speed of the boat in still water?
I. It travels 24 km downstream in 2 hours.
II. It travels the same distance upstream in 3 hours.

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Q47

What is the speed of the stream?
I. The speed of the boat in still water is 15 km/hr.
II. The boat takes twice as much time to go upstream as it takes to go downstream.

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Q48

What is the distance covered by the boat?
I. It travels downstream for 4 hours.
II. The speed of the stream is 3 km/hr.

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Q49

What is the downstream speed of the boat?
I. The upstream speed is 10 km/hr.
II. The speed of the boat in still water is 14 km/hr.

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Q50

How long will the boat take to travel 60 km in still water?
I. The boat travels 30 km downstream in 2 hours.
II. The speed of the stream is 5 km/hr.

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Arithmetic Sufficiency

What is the speed of the boat in still water?
I. It travels 24 km downstream in 2 hours.
II. It travels the same distance upstream in 3 hours.

Community Discussion & Shortcut Formulas

What is the speed of the stream?
I. The speed of the boat in still water is 15 km/hr.
II. The boat takes twice as much time to go upstream as it takes to go downstream.

Community Discussion & Shortcut Formulas

What is the distance covered by the boat?
I. It travels downstream for 4 hours.
II. The speed of the stream is 3 km/hr.

Community Discussion & Shortcut Formulas

What is the downstream speed of the boat?
I. The upstream speed is 10 km/hr.
II. The speed of the boat in still water is 14 km/hr.

Community Discussion & Shortcut Formulas

How long will the boat take to travel 60 km in still water?
I. The boat travels 30 km downstream in 2 hours.
II. The speed of the stream is 5 km/hr.

Community Discussion & Shortcut Formulas