PS

[magical cook]

Hi, I solved this but took longer than 2 minutes, so I hope someone can tell me faster way to solve this problem... thankyou


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

[sujaysolanki]

We know 2x + 3x + 5x+ 6x = 16x So total has ot multiple of x


Now one of them worked 30 hours

Say 2x = 30 x = 15

Total = 240

Similarly 3x = 30 x = 10

total = 160

Similarly 5x = 30 x = 6

total = 96

Similarly 6x = 30 x = 5

total = 80


Only option left is D

[Suyog]

another way to look at it...

2+3+5+6 = 16

now 80/16 = 5, 96/16 = 6, 160/16 = 10, 192/16 = 12 and 240/16 = 15
all these numbers i.e. 5, 6, 10 & 15 divides the number 30 except 12

Hence D.

[magical cook]

Thank you