knight247 wrote:Five glasses of same capacity are partly filled with water. The quantities of water in each of the glasses are in the ratio 2:3:4:5:6. The total quantity of water in the glasses is 2/5 of the total capacity of the five glasses. How many glasses are at least half full?
(A)1
(B)2
(C)3
(D)4
(E)5
No OA...Sorry
We can plug in values.
Since 2+3+4+5+6 = 20, the total amount of water should be a multiple of 20.
Let the capacity of each glass = 20 ounces.
Then the total capacity of the 5 glasses = 5*20 = 100 ounces.
The total quantity of water = (2/5)100 = 40 ounces.
Since 2:3:4:5:6 = 4:6:8:10:12, the amounts of water in the 5 glasses are 4 ounces, 6 ounces, 8 ounces, 10 ounces, and 12 ounces, for a total of 4+6+8+10+12 = 40 ounces.
Since each glass can hold 20 ounces, the first glass is 4/20 full, the second 6/20 full, the third 8/20 full, the fourth 10/20 full, and the last 12/20 full.
Only the last two glasses (10/20 and 12/20) are at least half full.
The correct answer is
B.
Please note that I rearranged the answer choices in ascending order, as they would likely be listed on the GMAT.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
