BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

In order for a nursey to meet the condintions of its insurance there must be at least one adult present for every 4...

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2599
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

In order for a nursey to meet the condintions of its insurance there must be at least one adult present for every 4...

by AAPL » Tue Oct 06, 2020 6:55 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Magoosh

In order for a nursery to meet the conditions of its insurance, there must be at least one adult present for every 4 children. The total number of children and adults at the nursery is 24. Is the nursery meeting the terms of its insurance?

1) The difference between the number of children and the number of adults is smaller than 15

2) If one more adult arrives at the nursery and one child is picked up by their parents, the ratio of adults to children will be 1:3

OA D
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Re: In order for a nursey to meet the condintions of its insurance there must be at least one adult present for every 4.

by deloitte247 » Sat Oct 10, 2020 11:46 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Let the total no. of children = c
Let the total no. of adult = a
c+a=24
For every 4 children, there must be at least 1 adult ratio
c : a = 4 : 1
Target question: Is the nursery meeting the terms of its insurance?
Statement 1: The difference between the number of children and the number of adults is smaller than 15
c-a<15
The maximum possible value of c-a=14
c+a=24 --- eqn(1)
c-a=14 --- eqn(2)
a = 24 - c
c - 24 + c = 14
2c = 14 + 24
2c = 38
c = 38/2 = 19
If c=19, definitely, a=5.
Requirement=> 1a for 4c. So for 5a, it will be for 20c. Since c=19 and a=5, the requirement is met. Hence, statement 1 is SUFFICIENT.

Statement 2: If one more adult arrives at the nursery and one child is picked up by their parents, the ratio of adults to children will be 1:3
$$Therefore,\ \frac{C}{A}=\frac{C-1}{A+1}=\frac{3}{1}$$
Requirement: 4c to 1 adult since their present ratio is 3 children to 1 adult. They meet the requirement; hence, statement 2 is SUFFICIENT.

Since each statement alone is SUFFICIENT, option D is the correct answer.
Top
Post new topic Post Reply
• Page 1 of 1