Let’s assume there are 100 people in the party.
Given:
Number of people who take coffee =
at least 75
Number of people who take tea =
at least 30
Number of people who take cold drinks =
between 20 and 50
Minimum possible percentage of people who take both coffee and teaTo minimize the overlap, lets "assume" that no people drink coffee and tea (i.e. let’s assume that there is no overlap)
If that were the case, the number of people who drink coffee + number of people who drink tea = 105
The number exceeds the number of attendees (number of attendees are 100). Hence, the extra 5 are the minimum possible people who drink both tea and coffee.
Maximum possible percentage of people who take both coffee and teaThe maximum possible number of people who drink tea and coffee will be in a scenario when all people who drink tea also drink coffee.
Before we proceed to find this number, note that its also given that "no single person takes all three" (of the beverages), so we will first exclude the
minimum number of people who can take cold drink.
From the information given its 20 (as between 20 and 50 people take cold drink)
Now, the remaining 80 people can drink both tea and coffee.
This is the maximum possible number.
SumMinimum = 5
Maximum = 80
Total = 80 + 5 = 85
Hope this makes sense !
gmatophobia wrote:
DS Question 1 - Dec 13If ab ≠ 0, does a=b?
(1) x^a = x^b
(2) x|a| = x|b|
Source:
Manhattan GMAT | Difficulty: Medium
gmatophobia wrote:
PS Question 1 - Dec 13In how many different ways can a group of six students be equally distributed into three classes: physics, mathematics and history ?
(A) 6
(B) 15
(C) 20
(D) 45
(E) 90
Source:
GMAT Club Tests | Difficulty: Medium
gmatophobia wrote:
DS Question 2 - Dec 13Three consecutive integers are selected from the integers 1 to 50, inclusive. What is the sum of the remainders that result when each of the three integers is divided by x ?
(1) When the greatest of the consecutive integers is divided by x, the remainder is 0.
(2) When the least of the consecutive integers is divided by x, the remainder is 1.
Source:
Manhattan GMAT | Difficulty: Medium
gmatophobia wrote:
PS Question 2 - Dec 13At a certain party hall, it is observed that in every party at least 75% of the people take coffee, at least 30% of the people take tea and between 20% to 50% people take cold drink. Each person in the party takes at least one of the beverages but no single person takes all three of them. What is the sum of the minimum possible percentage and maximum possible percentage of people who take both coffee and tea in a party?
A. 85
B. 95
C. 100
D. 105
E. 120
Source:
GMATWhiz | Difficulty: Hard