Bunuel wrote:

BANON wrote:

Four 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 ratio 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

A:B:C:D=2x:3x:5x:6x, for some positive number x. Total time 2x+3x+5x+6x=16x.

If 2x = 30 then 16x = 240;

If 3x = 30 then 16x = 160;

If 5x = 30 then 16x = 96;

If 6x = 30 then 16x = 80;

Only answer choices which is not obtained is 192.

Answer: D.

Thanks Brunel

Just a thought, I used the same concept but only used the last digits

If 2x = 30 then 16x = 240; (eliminate 240,160 and 80)

If 3x = 30 then 16x = 160;

If 5x = 30 then 16x = 96; (Eliminate 96)

If 6x = 30 then 16x = 80;

You can then deduce the answer quicker

Cheers