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# How many of the 42 people in a group are employed students

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How many of the 42 people in a group are employed students [#permalink]

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23 Feb 2012, 08:15
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How many of the 42 people in a group are employed students?

(1) 29 of the 42 people are employed.
(2) 24 of the 42 people are students.
[Reveal] Spoiler: OA
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Re: How many of the 42 people in a group are employed students [#permalink]

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23 Feb 2012, 08:38
BANON wrote:
How many of the 42 people in a group are employed students?

(1) 29 of the 42 people are employed.
(2) 24 of the 42 people are students.

It's straight E. Even when taken together we have:

{Total} = {Students} + {Employed} - {Both} + {Neither} --> we want to calculate: {Both}, # of employed students.

{42} = {24} + {29} - {Both} + {Neither} --> {Both} = 11 + {Neither}, since we don't know # of people who are neither employed nor students, we can not answer the question.

Hope it's clear.
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Re: How many of the 42 people in a group are employed students [#permalink]

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23 Feb 2012, 21:06
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BANON wrote:
How many of the 42 people in a group are employed students?

(1) 29 of the 42 people are employed.
(2) 24 of the 42 people are students.

Simple Sets Question:
No need to solve the question as in these type ,look for the infor that how many are neither both of them. If the Info is not given ,it cannot be solved. Do not waste your time solving these coz you will waste a few extra seconds.
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Re: How many of the 42 people in a group are employed students [#permalink]

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24 Feb 2012, 00:35
Hi

I solved this using tables.

Made it visually easier to figure out that no combination was possible to find the employeed students

PS : You have to use employed / non-employeed & student / non student categories
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Re: How many of the 42 people in a group are employed students [#permalink]

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Re: How many of the 42 people in a group are employed students [#permalink]

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04 Dec 2015, 02:17
No way is this a 600-700 question! This feels really basic! But thanks for sharing anyways!
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Re: How many of the 42 people in a group are employed students [#permalink]

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02 Jul 2016, 04:20
When we combine both the statement, the number 11 is what part of the set?
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Re: How many of the 42 people in a group are employed students [#permalink]

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22 Sep 2016, 13:16
Top Contributor
BANON wrote:
How many of the 42 people in a group are employed students?

(1) 29 of the 42 people are employed.
(2) 24 of the 42 people are students.

Here's a step-by-step approach using the Double Matrix method.

Here, the criteria are:
- employment status (employed or unemployed)
- schooling (student or non-student)

There are 42 people altogether, so our first diagram looks like this:

Notice that I placed a star in the top-left box. The target question asks us to determine the number of people in this box.

Statement 1: 29 out of 42 are employed.
We get:

Since we cannot find the number of people in the top-left box, statement 1 is NOT SUFFICIENT

Statement : 24 out of 42 are students.
We get:

Since we cannot find the number of people in the top-left box, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined:
We get:

Since we still cannot find the number of people in the top-left box, the combined statements are NOT SUFFICIENT

[Reveal] Spoiler:
E

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Re: How many of the 42 people in a group are employed students [#permalink]

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23 Feb 2017, 06:14
Prompt Analysis
Employed (student) + employed (non student) + non employed (student) + non employed(non student) = 42

Superset
employed(student) ranges in 0 - 42

Translation
In order to find the exact value, we need:
1# exact value of employed (student)
2# the value of rest of the three parameter
3# 4 equations and 4 mentioned variables.

Statement analysis
St 1: Employed (student) + employed (non student) = 29. Cannot say anything about Employed (student). INSUFFICIENT.
St 2: Employed (student) + non employed (student) = 24. Cannot say anything about Employed (student). INSUFFICIENT.

ST 1 & St 2: 3 equations and 4 variable. INSUFFICIENT

Option E
Re: How many of the 42 people in a group are employed students   [#permalink] 23 Feb 2017, 06:14
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