Arithmetic Sufficiency

Q: What is the speed of the train in m/s? I. It crosses a stationary pole in 10 seconds. II. It crosses a 200m long platform in 20 seconds.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From I: Speed = L/10. From II: Speed = (L+200)/20. Together: L/10 = (L+200)/20 => 2L = L + 200 => L = 200m. Speed = 200/10 = 20 m/s. Both are required.

Q: What is the distance between City A and City B? I. A car travelling at 50 km/hr reaches 1 hour late. II. Travelling at 60 km/hr, the car reaches 1 hour early.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Together: Difference in time = 2 hours. D/50 - D/60 = 2 => (6D - 5D)/300 = 2 => D = 600 km. Both statements are required.

Q: What is the length of the train? I. It crosses another train of length 300m in 15 seconds. II. The speeds of the two trains are 60 km/hr and 48 km/hr respectively.

Correct Answer: Option D (Statements I and II together are not sufficient.). We have lengths, speeds, and time, but we don't know whether the trains are running in the SAME direction or OPPOSITE directions, which drastically changes the relative speed. The data is insufficient.

Q: What is the average speed of the car for the entire journey? I. Half the total distance is covered at 40 km/hr. II. The remaining half distance is covered at 60 km/hr.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Together: Average speed for equal distances is given by 2xy / (x+y). Avg Speed = 2(40)(60) / (100) = 4800 / 100 = 48 km/hr. Both are required.

Q: How long will the man take to walk across the diagonal of a square park? I. The area of the park is 10,000 sq. m. II. His walking speed is 2 m/s.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From I: Area = 10000 => Side = 100m => Diagonal = 100√2 m. From II: Speed = 2 m/s. Together: Time = 100√2 / 2 = 50√2 seconds. 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 9: Time, Speed & Distance

Q41

What is the speed of the train in m/s?
I. It crosses a stationary pole in 10 seconds.
II. It crosses a 200m long platform in 20 seconds.

medium

Q42

What is the distance between City A and City B?
I. A car travelling at 50 km/hr reaches 1 hour late.
II. Travelling at 60 km/hr, the car reaches 1 hour early.

medium

Q43

What is the length of the train?
I. It crosses another train of length 300m in 15 seconds.
II. The speeds of the two trains are 60 km/hr and 48 km/hr respectively.

medium

Q44

What is the average speed of the car for the entire journey?
I. Half the total distance is covered at 40 km/hr.
II. The remaining half distance is covered at 60 km/hr.

medium

Q45

How long will the man take to walk across the diagonal of a square park?
I. The area of the park is 10,000 sq. m.
II. His walking speed is 2 m/s.

medium

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Arithmetic Sufficiency

What is the speed of the train in m/s?
I. It crosses a stationary pole in 10 seconds.
II. It crosses a 200m long platform in 20 seconds.

Community Discussion & Shortcut Formulas

What is the distance between City A and City B?
I. A car travelling at 50 km/hr reaches 1 hour late.
II. Travelling at 60 km/hr, the car reaches 1 hour early.

Community Discussion & Shortcut Formulas

What is the length of the train?
I. It crosses another train of length 300m in 15 seconds.
II. The speeds of the two trains are 60 km/hr and 48 km/hr respectively.

Community Discussion & Shortcut Formulas

What is the average speed of the car for the entire journey?
I. Half the total distance is covered at 40 km/hr.
II. The remaining half distance is covered at 60 km/hr.

Community Discussion & Shortcut Formulas

How long will the man take to walk across the diagonal of a square park?
I. The area of the park is 10,000 sq. m.
II. His walking speed is 2 m/s.

Community Discussion & Shortcut Formulas