GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Jan 2019, 18:47

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# A group of friends went to an ice-cream parlour and ordered

Author Message
TAGS:

### Hide Tags

Manager
Joined: 03 Mar 2018
Posts: 215
A group of friends went to an ice-cream parlour and ordered  [#permalink]

### Show Tags

30 Apr 2018, 07:58
5
00:00

Difficulty:

95% (hard)

Question Stats:

41% (03:16) correct 59% (02:51) wrong based on 47 sessions

### HideShow timer Statistics

A group of friends went to an ice-cream parlour and ordered only two types of ice-cream - chocolate and strawberry. Of the people in the group, at least one person ate only one type ice-cream, some people ate both types of ice-cream and at least one person did not eat any type of ice-cream. Did more people eat chocolate ice-cream than strawberry ice-cream?

1) The ratio of the number of people who ate chocolate ice-cream and people who ate strawberry ice-cream was greater than the ratio of the total number of people who went to ice-cream parlour and the number of people who did not eat any type of ice-cream.

2) The number of people who ate only one type of ice-cream is greater than the number of people who ate strawberry ice-cream.

_________________

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1428
Location: India
Re: A group of friends went to an ice-cream parlour and ordered  [#permalink]

### Show Tags

30 Apr 2018, 09:52
itisSheldon wrote:
A group of friends went to an ice-cream parlour and ordered only two types of ice-cream - chocolate and strawberry. Of the people in the group, at least one person ate only one type ice-cream, some people ate both types of ice-cream and at least one person did not eat any type of ice-cream. Did more people eat chocolate ice-cream than strawberry ice-cream?

1) The ratio of the number of people who ate chocolate ice-cream and people who ate strawberry ice-cream was greater than the ratio of the total number of people who went to ice-cream parlour and the number of people who did not eat any type of ice-cream.

2) The number of people who ate only one type of ice-cream is greater than the number of people who ate strawberry ice-cream.

So there are 4 kinds of people here: Those who ate only chocolate (a), those who ate only strawberry (b), those who ate both (c) and those who ate neither (d). We are given that: a+b > 0, c > 0, and d > 0. So the total number of people have to be greater than 3, at least. We have to answer whether (a+c) > (b+c) or whether a > b.

(1) Total people who went to ice-cream parlour, (a+b+c+d) has to be greater than d. So ratio of Total : neither = (a+b+c+d) : d must be > 1. And this statement says that the ratio of (a+c) : (b+c) is greater than this ratio, which means a+c : b+c is also > 1 OR a+c > b+c. This gives us YES as an answer to the question asked. Sufficient.

(2) Given a+b > b+c OR a > c. But this doesnt help us in answering whether a > b or not. Not sufficient.

Senior Manager
Joined: 29 Dec 2017
Posts: 386
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
A group of friends went to an ice-cream parlour and ordered  [#permalink]

### Show Tags

30 Apr 2018, 14:26
itisSheldon wrote:
A group of friends went to an ice-cream parlour and ordered only two types of ice-cream - chocolate and strawberry. Of the people in the group, at least one person ate only one type ice-cream, some people ate both types of ice-cream and at least one person did not eat any type of ice-cream. Did more people eat chocolate ice-cream than strawberry ice-cream?
1) The ratio of the number of people who ate chocolate ice-cream and people who ate strawberry ice-cream was greater than the ratio of the total number of people who went to ice-cream parlour and the number of people who did not eat any type of ice-cream.
2) The number of people who ate only one type of ice-cream is greater than the number of people who ate strawberry ice-cream.

1. Choco + Both/ Strawb + Both >Total / None. Since Total is always > than None, so the right part >1, hence numerator in left part > denominator. Sufficient

2. Choco + Strawb > Strawb + Both => Choco + Strawb> Strawb+ Both =>Choco>Both - doesn't help us much. Insufficient.

Director
Joined: 02 Oct 2017
Posts: 735
Re: A group of friends went to an ice-cream parlour and ordered  [#permalink]

### Show Tags

17 May 2018, 06:57
1) The ratio of the number of people who ate chocolate ice-cream and people who ate strawberry ice-cream was greater than the ratio of the total number of people who went to ice-cream parlour and the number of people who did not eat any type of ice-cream.

Chocolate/strawberry=Total/Neither
This can have two cases
Examples
I) 1/4>1/5
Total/neither ratio <1

2) 5>4
Total/neither>1

We know total >neither here in this case so only 2nd case holds here

Chocolate/strawberry> Total/Neither so it is also > 1
So sufficient

2) The number of people who ate only one type of ice-cream is greater than the number of people who ate strawberry ice-cream.

Suppose total of one ice cream=5
I) strawberry =4 chocolate=1
Strawberry>chocolate

II) strawberry=2 chocolate=3
Strawberry<chocolate

Both cases so Insufficient

Give kudos if it helps

Posted from my mobile device
_________________

Give kudos if you like the post

Intern
Joined: 04 Mar 2018
Posts: 14
Re: A group of friends went to an ice-cream parlour and ordered  [#permalink]

### Show Tags

20 May 2018, 00:38
Strawberry No Strawberry
Chocolate C A
No Chocolate B D

St1: The ratio of the number of people who ate chocolate ice-cream and people who ate strawberry ice-cream was greater than the ratio of the total number of people who went to ice-cream parlour and the number of people who did not eat any type of ice-cream.

(A+C) / (B+C) > (A+B+C+D) / D

Subtrating 1 from both sides,

((A+C) / (B+C)) -1 > ((A+B+C+D) / D) - 1
(A-B) / (B+C) > (A+B+C) / D

since RHS is positive, so LHS should be positve,
therefore, A-B> 0 => A>B

st2: 2) The number of people who ate only one type of ice-cream is greater than the number of people who ate strawberry ice-cream.

A +B > B +C
so, A > C

insufficient
Re: A group of friends went to an ice-cream parlour and ordered &nbs [#permalink] 20 May 2018, 00:38
Display posts from previous: Sort by