ICET Data Sufficiency 2 — Questions and Answers
Question 1: What is the profit percentage? Statement I: Cost price is $80. Statement II: Selling price is $100. Which is sufficient?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Neither statement
Correct answer: Both statements together
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?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Neither statement
Correct answer: Both statements together
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?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Either statement alone
Correct answer: Both statements together
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?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Neither statement
Correct answer: Both statements together
(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?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Neither statement
Correct answer: Both statements together
Passed students = 60% of 200 = 120, which requires knowing both the failure rate and the total count.
Question 6: What is the compound interest on a sum for 2 years? Statement I: Principal is $1,000. Statement II: Rate is 10% per annum. Which is sufficient?
- Statement I alone
- Statement II alone
- Both statements together (Correct answer)
- Neither statement
Correct answer: Both statements together
CI requires principal, rate, and time; with 2 years given, both statements together are sufficient to compute CI = $210.
ICET Data Sufficiency 2
What is the profit percentage? Statement I: Cost price is $80.
Statement II: Selling price is $100.
Which is sufficient?