EDPT Sufficiency Analysis 4 — Questions and Answers
Question 1: A data file is transferred over a network. Was the transfer completed in under one minute? (1) The file size is 60 MB. (2) The network speed is 1 MB per second.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Either statement alone is sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
Transfer time = 60 MB ÷ 1 MB/s = 60 seconds, which is exactly one minute, not under it; both statements are needed to determine this.
Question 2: Is integer k a multiple of 12? (1) k is a multiple of 4. (2) k is a multiple of 3.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Either statement alone is sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
12 = 4 × 3 and gcd(4,3)=1, so being a multiple of both 4 and 3 means k is a multiple of 12.
Question 3: What is the selling price of an item? (1) The cost price of the item is $40. (2) The item is sold at a 25% profit.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Either statement alone is sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
Selling price = $40 × 1.25 = $50; you need the cost and the profit percentage together.
Question 4: In a sorted list of numbers, is the median greater than the mean? (1) The list is: 2, 3, 4, 8, 8. (2) The list contains five numbers.
- Statement 1 alone is sufficient (Correct answer)
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient
- Either statement alone is sufficient
Correct answer: Statement 1 alone is sufficient
With the full list given in statement 1, median = 4 and mean = 5, so median < mean; statement 1 alone is sufficient to answer the question.
Question 5: Can an employee complete a task alone in 8 hours? (1) Working together, two employees finish the task in 3 hours. (2) Employee B alone takes 12 hours to complete the task.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Either statement alone is sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
Using the combined rate formula: 1/A + 1/12 = 1/3 → A = 4 hours; both statements are needed.
Question 6: Is the slope of line L positive? (1) Line L passes through (0, 2) and (3, 0). (2) Line L has a negative y-intercept.
- Statement 1 alone is sufficient (Correct answer)
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient
- Either statement alone is sufficient
Correct answer: Statement 1 alone is sufficient
Slope = (0−2)/(3−0) = −2/3, which is negative; statement 1 alone determines the slope.
Question 7: A password must be exactly 4 digits. How many valid passwords are possible? (1) Each digit can be 0–9. (2) Digits may not repeat.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Either statement alone is sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
With no repeats and digits 0–9, there are 10 × 9 × 8 × 7 = 5,040 valid passwords; both conditions are needed.
EDPT Sufficiency Analysis 4
A data file is transferred over a network.
Was the transfer completed in under one minute? (1) The file size is 60 MB. (2) The network speed is 1 MB per second.