Arithmetic Sufficiency

Q: What is the current ratio of ages of A and B? I. 5 years ago, their ages were in the ratio 2:3. II. 5 years hence, their ages will be in the ratio 3:4.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Let ages 5 years ago be 2x and 3x. From II, (2x+10)/(3x+10) = 3/4. Solving yields x=10. Current ages are 25 and 35, ratio 5:7. Both statements are required.

Q: What is the number of boys in the school? I. The ratio of boys to girls is 4:5. II. There are 900 students in total.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Statement I gives the ratio. Statement II gives the total. Together: Boys = (4/9) * 900 = 400. Both are required.

Q: In a mixture of milk and water, what is the initial quantity of the mixture? I. The ratio of milk to water is 3:1. II. If 10 liters of water is added, the ratio becomes 3:2.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From I, let initial quantities be 3x and x. From II, 3x / (x+10) = 3/2. Solving yields x = 10. Initial quantity = 4x = 40 liters. Both statements are required.

Q: What is the value of x? I. x, y, and z are in continued proportion. II. y = 6 and z = 12.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). From I, x/y = y/z. From II, we have y and z. Together: x/6 = 6/12 => x = 3. Both are required.

Q: What is the share of person A in the total business profit? I. A and B invested capitals in the ratio 2:3. II. The total profit generated is Rs. 50,000.

Correct Answer: Option D (Statements I and II together are not sufficient.). Profit share depends on both Capital and Time. While the capital ratio and total profit are given, the time duration of their respective investments is unknown. Hence, the data is insufficient.

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 5: Ratio & Proportion

Q21

What is the current ratio of ages of A and B?
I. 5 years ago, their ages were in the ratio 2:3.
II. 5 years hence, their ages will be in the ratio 3:4.

medium

Q22

What is the number of boys in the school?
I. The ratio of boys to girls is 4:5.
II. There are 900 students in total.

medium

Q23

In a mixture of milk and water, what is the initial quantity of the mixture?
I. The ratio of milk to water is 3:1.
II. If 10 liters of water is added, the ratio becomes 3:2.

medium

Q24

What is the value of x?
I. x, y, and z are in continued proportion.
II. y = 6 and z = 12.

medium

Q25

What is the share of person A in the total business profit?
I. A and B invested capitals in the ratio 2:3.
II. The total profit generated is Rs. 50,000.

medium

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

Arithmetic Sufficiency

What is the current ratio of ages of A and B?
I. 5 years ago, their ages were in the ratio 2:3.
II. 5 years hence, their ages will be in the ratio 3:4.

Community Discussion & Shortcut Formulas

What is the number of boys in the school?
I. The ratio of boys to girls is 4:5.
II. There are 900 students in total.

Community Discussion & Shortcut Formulas

In a mixture of milk and water, what is the initial quantity of the mixture?
I. The ratio of milk to water is 3:1.
II. If 10 liters of water is added, the ratio becomes 3:2.

Community Discussion & Shortcut Formulas

What is the value of x?
I. x, y, and z are in continued proportion.
II. y = 6 and z = 12.

Community Discussion & Shortcut Formulas

What is the share of person A in the total business profit?
I. A and B invested capitals in the ratio 2:3.
II. The total profit generated is Rs. 50,000.

Community Discussion & Shortcut Formulas