ICET Data Sufficiency 2

Question 1

What is the profit percentage? Statement I: Cost price is $80. Statement II: Selling price is $100. Which is sufficient?

Accepted Answer

Both statements together

Answer

Profit % = (SP − CP)/CP × 100 = (100 − 80)/80 × 100 = 25%, which requires both cost and selling price.

Question 2

What is the speed of a train? Statement I: The train travels 300 km. Statement II: The train takes 3 hours. Which is sufficient?

Accepted Answer

Both statements together

Answer

Speed = Distance/Time = 300/3 = 100 km/h, which requires both distance and time.

Question 3

Is quadrilateral ABCD a square? Statement I: All four sides are equal. Statement II: All four angles are 90°. Which is sufficient?

Accepted Answer

Both statements together

Answer

Both equal sides and right angles are needed; a rhombus has equal sides without right angles, so Statement I alone is insufficient.

Question 4

What is (a + b)? Statement I: a² + b² = 29. Statement II: ab = 10. Which is sufficient?

Accepted Answer

Both statements together

Answer

(a+b)² = a² + 2ab + b² = 29 + 20 = 49, so a+b = 7, requiring both statements.

Question 5

How many students passed the exam? Statement I: 40% of students failed. Statement II: Total students are 200. Which is sufficient?

Accepted Answer

Both statements together

Answer

Passed students = 60% of 200 = 120, which requires knowing both the failure rate and the total count.

ICET - Integrated Common Entrance Test Practice Test