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# Out of the 60 employees of a startup, only 10 are non-engineers

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Joined: 28 May 2014
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Out of the 60 employees of a startup, only 10 are non-engineers  [#permalink]

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04 Feb 2018, 10:28
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:37) correct 33% (00:53) wrong based on 24 sessions

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Out of the 60 employees of a startup, only 10 are non-engineers. How many employees of the startup are engineers with a MBA degree?

(1) Only 1 out of every 12 employees with a MBA degree is a non-engineer
(2) More than 55 percent of all employees have a MBA degree

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Re: Out of the 60 employees of a startup, only 10 are non-engineers  [#permalink]

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04 Feb 2018, 13:33
saswata4s wrote:
Out of the 60 employees of a startup, only 10 are non-engineers. How many employees of the startup are engineers with a MBA degree?

(1) Only 1 out of every 12 employees with a MBA degree is a non-engineer
(2) More than 55 percent of all employees have a MBA degree

From the question stem, we can say that there are 10 non-engineers and 50 engineers.
We have been asked to find the total number of engineers with an MBA degree

1. If 1 out of 12 employees with MBA degree is a non-engineer, we can have
1 to 5 non-engineers with an MBA. Therefore, we cannot tell the total number
of engineers who have an MBA. (Insufficient)

2. Of the 60 employees, more than 33 employees having an MBA degree could
mean that the total number of MBA candidates is between 34 and 60. With just
the number of MBA candidates, we cannot clearly give the number of engineers
with an MBA degree (Insufficient)

On combining the information from both the statements, there can be 3,4, or 5
non-engineer with MBA degrees. We will not be able to give an unique number
of engineers who have an MBA (Insufficient - Option E)
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Re: Out of the 60 employees of a startup, only 10 are non-engineers  [#permalink]

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04 Feb 2018, 15:08
saswata4s wrote:
Out of the 60 employees of a startup, only 10 are non-engineers. How many employees of the startup are engineers with a MBA degree?

(1) Only 1 out of every 12 employees with a MBA degree is a non-engineer
(2) More than 55 percent of all employees have a MBA degree

Questions involving 2 sets can often be solved by drawing an axis and very little calculation.
This is a Precise approach.

As there are 60 employees we'll write 60 on one side of the axis.
As 10 are non-engineers, we'll next draw the 'engineer' set to the left and extend it until 50.
We need to find the size of the overlap

(1) 1 out of 12 non-engineers means 11 out of 12 engineers. But how many? We can SEE that the overlap can be 11,22,33 or 44.
Insufficient.

(2) 55% of 60 employees is 33. But this is clearly insufficient to determine the overlap.
Insufficient

Combined: Now we can have 33 engineers and 3 non-engineers or 44 engineers and 4 non-engineers.
Still insufficient.

Attachments

axis.png [ 38.5 KiB | Viewed 299 times ]

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Re: Out of the 60 employees of a startup, only 10 are non-engineers  [#permalink]

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06 Feb 2018, 22:47
saswata4s wrote:
Out of the 60 employees of a startup, only 10 are non-engineers. How many employees of the startup are engineers with a MBA degree?

(1) Only 1 out of every 12 employees with a MBA degree is a non-engineer
(2) More than 55 percent of all employees have a MBA degree

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

This question is a 2x2 type question.

........ | Engr | Non-Engr
-------------------------
.... MBA | a | b
-------------------------
non MBA | c | d

a+b+c+d = 60
b+d = 10

The question asks for the value of a.

Since we have 4 variables and 2 equations, we need 2 more equations to solve.
However we have only one equation from the conditions, because the condition 1) has an equation b =5 and the condition 2) has an inequality. Thus E is most likely.

Condition 1) & 2):

1) b = 5
2) a + b > 33

a = 30, b = 5, c = 20, d = 5
a = 31, b = 5, c = 19, d = 5

Normally, in problems which require 2 equations, such as those in which the original conditions include 2 variables, or 3 variables and 1 equation, or 4 variables and 2 equations, each of conditions 1) and 2) provide an additional equation. In these problems, the two key possibilities are that C is the answer (with probability 70%), and E is the answer (with probability 25%). Thus, there is only a 5% chance that A, B or D is the answer. This occurs in common mistake types 3 and 4. Since C (both conditions together are sufficient) is the most likely answer, we save time by first checking whether conditions 1) and 2) are sufficient, when taken together. Obviously, there may be cases in which the answer is A, B, D or E, but if conditions 1) and 2) are NOT sufficient when taken together, the answer must be E.

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Re: Out of the 60 employees of a startup, only 10 are non-engineers &nbs [#permalink] 06 Feb 2018, 22:47
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