Arithmetic Sufficiency

Q: What is the percentage of girls in the class? I. There are 40 students in the class. II. The number of boys is 60% of the number of girls.

Correct Answer: Option B (Statement II alone is sufficient, but Statement I alone is not.). Statement I gives the total but no ratio. Statement II states Boys = 0.6 * Girls, meaning the ratio of Boys:Girls is 3:5. The percentage of girls is (5/8) * 100 = 62.5%. Statement II alone is sufficient.

Q: A student scored X marks. What is the passing percentage for the exam? I. The student scored 40% of the total marks and failed by 20 marks. II. A student scoring 50% of the total...

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Statement I gives: 40% of Total = Pass - 20. Statement II gives: 50% of Total = Pass + 30. Neither is sufficient alone. Together, the difference (10%) equals 50 marks. Total = 500. Passing marks = 200 + 20 = 220. Passing percentage = (220/500)*100 = 44%. Both are needed.

Q: By what percentage did the overall revenue of a company increase? I. The sales volume increased by 20%. II. The price per unit increased by 10%.

Correct Answer: Option C (Both statements together are sufficient, but neither statement alone is sufficient.). Revenue = Price * Volume. Statement I or II alone only provides one variable's change. Together, New Revenue = 1.2(Volume) * 1.1(Price) = 1.32(Original Revenue). The increase is 32%. Both are needed.

Q: What is the value of a certain number? I. 20% of the number is 40. II. 50% of the number is 100.

Correct Answer: Option D (Each statement alone is sufficient.). From I: 0.20x = 40 => x = 200. Sufficient. From II: 0.50x = 100 => x = 200. Sufficient. Each statement alone is sufficient.

Q: In an election between two candidates, what was the total number of votes cast? I. The winning candidate got 55% of the valid votes. II. 10% of the cast votes were declared inval...

Correct Answer: Option D (Statements I and II together are not sufficient.). Both statements provide relative percentage data but no absolute numerical value (like a margin of victory or actual votes counted). Therefore, even together, the total number of votes cannot be determined.

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 2: Percentages

What is the percentage of girls in the class?
I. There are 40 students in the class.
II. The number of boys is 60% of the number of girls.

medium

A student scored X marks. What is the passing percentage for the exam?
I. The student scored 40% of the total marks and failed by 20 marks.
II. A student scoring 50% of the total marks passes by 30 marks.

medium

By what percentage did the overall revenue of a company increase?
I. The sales volume increased by 20%.
II. The price per unit increased by 10%.

medium

What is the value of a certain number?
I. 20% of the number is 40.
II. 50% of the number is 100.

medium

Q10

In an election between two candidates, what was the total number of votes cast?
I. The winning candidate got 55% of the valid votes.
II. 10% of the cast votes were declared invalid.

medium

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Arithmetic Sufficiency

What is the percentage of girls in the class?
I. There are 40 students in the class.
II. The number of boys is 60% of the number of girls.

Community Discussion & Shortcut Formulas

A student scored X marks. What is the passing percentage for the exam?
I. The student scored 40% of the total marks and failed by 20 marks.
II. A student scoring 50% of the total marks passes by 30 marks.

Community Discussion & Shortcut Formulas

By what percentage did the overall revenue of a company increase?
I. The sales volume increased by 20%.
II. The price per unit increased by 10%.

Community Discussion & Shortcut Formulas

What is the value of a certain number?
I. 20% of the number is 40.
II. 50% of the number is 100.

Community Discussion & Shortcut Formulas

In an election between two candidates, what was the total number of votes cast?
I. The winning candidate got 55% of the valid votes.
II. 10% of the cast votes were declared invalid.

Community Discussion & Shortcut Formulas

Arithmetic Sufficiency

What is the percentage of girls in the class? I. There are 40 students in the class. II. The number of boys is 60% of the number of girls.

Community Discussion & Shortcut Formulas

A student scored X marks. What is the passing percentage for the exam? I. The student scored 40% of the total marks and failed by 20 marks. II. A student scoring 50% of the total marks passes by 30 marks.

Community Discussion & Shortcut Formulas

By what percentage did the overall revenue of a company increase? I. The sales volume increased by 20%. II. The price per unit increased by 10%.

Community Discussion & Shortcut Formulas

What is the value of a certain number? I. 20% of the number is 40. II. 50% of the number is 100.

Community Discussion & Shortcut Formulas

In an election between two candidates, what was the total number of votes cast? I. The winning candidate got 55% of the valid votes. II. 10% of the cast votes were declared invalid.

Community Discussion & Shortcut Formulas

What is the percentage of girls in the class?
I. There are 40 students in the class.
II. The number of boys is 60% of the number of girls.

A student scored X marks. What is the passing percentage for the exam?
I. The student scored 40% of the total marks and failed by 20 marks.
II. A student scoring 50% of the total marks passes by 30 marks.

By what percentage did the overall revenue of a company increase?
I. The sales volume increased by 20%.
II. The price per unit increased by 10%.

What is the value of a certain number?
I. 20% of the number is 40.
II. 50% of the number is 100.

In an election between two candidates, what was the total number of votes cast?
I. The winning candidate got 55% of the valid votes.
II. 10% of the cast votes were declared invalid.