Veronica wrote:4 staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ration 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
a. 80; b. 96; c. 160; d. 192; e. 240
Thank you!
Assign 30 one by one to each number in the ration 2 to 3 to 5 to 6, and check the total of hours as under:
2:3:5:6 =
30:45:75:90; total of hours is (2 + 3 + 5 + 6) × 15 = 16 × 15 = 240, okayed
2:
3:5:6 = 20:
30:50:60; total of hours is (2 + 3 + 5 + 6) × 10 = 16 × 10 = 160, okayed
2:3:
5:6 = 12:18:
30:36; total of hours is (2 + 3 + 5 + 6) × 6 = 16 × 6 = 96, okayed
2:3:5:
6 = 10:15:25:
30; total of hours is (2 + 3 + 5 + 6) × 5 = 16 × 5 = 80, okayed
[spoiler]
192 is the odd man, out
D[/spoiler]
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
