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

Question

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

madeinafrica · Accepted Answer

You cannot solve this one with venn diagram (or it's not the best solution)

take a look at this table. you can see that the info given are not sufficient to solve the question. Answer is clearly E.

Attachment:

gmatDS.png [ 3.66 KiB | Viewed 43653 times ]

Bunuel · Answer

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.

Answer: E.

Hope it's clear.

gladiator999 · Answer

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.

SaudKhan · Answer

In the venn diagram you must consider the people who are neither employed nor students also. No information provided about that, hence answer E.

BrentGMATPrepNow · Answer

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:
 https://i.imgur.com/EUowaHT.png

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: 
 https://i.imgur.com/Y4WBhwE.png 
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: 
 https://i.imgur.com/fRnDKjj.png 
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:
 https://i.imgur.com/w55oZGF.png 
Since we still cannot find the number of people in the top-left box, the combined statements are NOT SUFFICIENT

Answer: E

RELATED VIDEO
 https://www.youtube.com/watch?v=jK-tiBrrf04

MORE PRACTICE
 https://www.youtube.com/watch?v=DsbPUSH_Wu4

KrishnakumarKA1 · Answer

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

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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?

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