Arithmetic Sufficiency

Q: How many days will A take to finish the work alone? I. A and B together can do it in 10 days. II. B alone takes 15 days.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Together: 1/A + 1/15 = 1/10 => 1/A = 1/30. So A takes 30 days. Both statements are required.

Q: What is the efficiency ratio of P to Q? I. P takes half the time as Q to do the same work. II. P and Q together take 8 days to finish the work.

Correct Answer: Option A (Statement I alone is sufficient, but Statement II alone is not.). Statement I explicitly states P takes half the time of Q, meaning P is twice as efficient. The ratio is inherently 2:1. Statement I alone is sufficient. Statement II is unnecessary.

Q: How many men are required to build the wall in 15 days? I. 10 men can build it in 30 days. II. A woman takes twice as long as a man to build the wall.

Correct Answer: Option A (Statement I alone is sufficient, but Statement II alone is not.). From Statement I, Total Work = M1 * D1 = 10 * 30 = 300 man-days. For 15 days, Men = 300 / 15 = 20. Statement I alone is sufficient. Statement II contains irrelevant data.

Q: What is the share of worker A in the total wage of Rs. 1200? I. A works for 5 days and B works for 6 days. II. A is twice as efficient as B.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Wage is divided based on total work done. Ratio of work = (Days A * Eff A) : (Days B * Eff B). Together: 5*2 : 6*1 = 10:6 = 5:3. Share of A = (5/8) * 1200 = Rs. 750. Both are required.

Q: How long will A, B, and C together take to complete the task? I. A and B take 12 days, B and C take 15 days. II. C and A take 20 days.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Together: 2(1/A + 1/B + 1/C) = 1/12 + 1/15 + 1/20 = 5/60 + 4/60 + 3/60 = 12/60 = 1/5. Therefore, 1/A + 1/B + 1/C = 1/10, meaning 10 days. Both statements 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).

Quick Mode: Practice Questions Timed Mock Test

Arithmetic Sufficiency: Directions & Problem Statements Shared for questions below

DirectionsSet 7: Time & Work

Q31

How many days will A take to finish the work alone?
I. A and B together can do it in 10 days.
II. B alone takes 15 days.

medium

Q32

What is the efficiency ratio of P to Q?
I. P takes half the time as Q to do the same work.
II. P and Q together take 8 days to finish the work.

medium

Q33

How many men are required to build the wall in 15 days?
I. 10 men can build it in 30 days.
II. A woman takes twice as long as a man to build the wall.

medium

Q34

What is the share of worker A in the total wage of Rs. 1200?
I. A works for 5 days and B works for 6 days.
II. A is twice as efficient as B.

medium

Q35

How long will A, B, and C together take to complete the task?
I. A and B take 12 days, B and C take 15 days.
II. C and A take 20 days.

medium

Previous 1 2 3 4 5 6 7 8 9 10 Next

Arithmetic Sufficiency

How many days will A take to finish the work alone?
I. A and B together can do it in 10 days.
II. B alone takes 15 days.

Community Discussion & Shortcut Formulas

What is the efficiency ratio of P to Q?
I. P takes half the time as Q to do the same work.
II. P and Q together take 8 days to finish the work.

Community Discussion & Shortcut Formulas

How many men are required to build the wall in 15 days?
I. 10 men can build it in 30 days.
II. A woman takes twice as long as a man to build the wall.

Community Discussion & Shortcut Formulas

What is the share of worker A in the total wage of Rs. 1200?
I. A works for 5 days and B works for 6 days.
II. A is twice as efficient as B.

Community Discussion & Shortcut Formulas

How long will A, B, and C together take to complete the task?
I. A and B take 12 days, B and C take 15 days.
II. C and A take 20 days.

Community Discussion & Shortcut Formulas