Ganeshmantri wrote:
Bunuel wrote:
SOLUTION
What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal)
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Since no flowers are to be left out, then the number of bouquets must be a factor of both 21 and 91. For example, we cannot have 2 bouquets since we cannot divide 91 red tulips into 2 bouquets without one tulip left over.
Only answer choice which is a factor of 91 is E (7).
Answer: E.
Hi Bunuel,
I get that no flowers must be left out. But it is also not mentioned that all the bouquets must be same.
What I mean by thet is that we can form, maybe 20 bouquets if 1 white and 1 red tulip, and another bouquet of 1 white and 71 red tulips. This is the reason why using HCF did not occur to me.
Kindly let me know your thoughts.
I reckon there something seriously wrong with my basocs since nowhere is anyone talking about what I think
Thanks as always!
Ganesh
Hi Ganesh,
The key word in this prompt is "IDENTICAL" (meaning that the bouquets must have the SAME flowers in it) - and the wording in the parentheses explains how a bouquet is identical with another bouquet as long as the number and type of flowers are the same.
For example:
A bouquet with 1 red flower and 1 white flower is the SAME as a bouquet with 1 white flower and 1 red flower
So RW and WR are the SAME bouquet
Another example:
RRW, RWR and WRR are all the SAME bouquet
GMAT assassins aren't born, they're made,
Rich