Question : Directions: In a department, 24 employees know typing and 11 know stenography, 25 know how to use a computer. 7 know both typing and stenography, 4 know stenography and computers, 12 know typing and computers, and 3 know all three. If there were 50 employees in the department, find how many employees know none of the three jobs.
Option 1: 40
Option 2: 10
Option 3: 47
Option 4: 33

Question

Question : Directions: In a department, 24 employees know typing and 11 know stenography, 25 know how to use a computer. 7 know both typing and stenography, 4 know stenography and computers, 12 know typing and computers, and 3 know all three. If there were 50 employees in the department, find how many employees know none of the three jobs.

Option 1: 40

Option 2: 10

Option 3: 47

Option 4: 33

Team Careers360 · Accepted Answer

Correct Answer: 10

Solution : As per the given instructions, we can draw the following diagram –

Note: S represents stenography in the image.

Here, there will be 7 regions:
a = employees who know typing
b = employees who know stenography
c = employees who know computer
d = employees who know both typing and stenography
e = employees who know stenography and computer
f = employees who know typing and computer
g = employees who know all three
n = Total number of people

So, from the instructions provided, we know that:
a + d + f + g = 24
b + d + e + g = 11
c + e + f + g = 25
d + g = 7
e + g = 4
f + g = 12
g = 3
Therefore, d = 4; e = 1; f = 9; a = 8; b = 3; c = 12
None = 50 – (8 + 3 + 12 + 4 + 9 + 1 + 3) = 10

So, 10 employees know none of the three. Hence, the second option is correct.

Popular Searches

Related Questions

Question : Directions: Which two numbers should be interchanged to make the given equation correct?
16 + 24 × 12 – 25 + 6 = 298
Option 1: 25 and 24
Option 2: 25 and 12
Option 3: 25 and 16
Option 4: 24 and 16

Question : Directions: In a certain code language, TIK is coded as 40, PDM is coded as 33. How will RUG be coded in that code language?
Option 1: 47
Option 2: 44
Option 3: 46
Option 4: 45

Question : Find the value of $24+[33+40$ of $\{3 \times(5-44+50)\}]$.
Option 1: 1331
Option 2: 1250
Option 3: 1442
Option 4: 1377

Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row - 25, 40, 10
Second row - 55, 70, 40
Third row - 33, 48, ?
Option 1: 19
Option 2: 15
Option 3: 18
Option 4: 17

Question : Directions: If 2 + 3 + 5 = 30; 3 + 4 + 6 = 72; 5 + 6 + 2 = 60; then 5 + 4 + 0 = ?
Option 1: 40
Option 2: 30
Option 3: 0
Option 4: None

Know More about

Staff Selection Commission Multi Tasking ...

Upcoming Exams

Download Careers360 App

All this at the convenience of your phone

Scan and download the app

Popular Searches

Related Questions

Question : Directions: Which two numbers should be interchanged to make the given equation correct? 16 + 24 × 12 – 25 + 6 = 298Option 1: 25 and 24Option 2: 25 and 12Option 3: 25 and 16Option 4: 24 and 16

Question : Directions: In a certain code language, TIK is coded as 40, PDM is coded as 33. How will RUG be coded in that code language?Option 1: 47Option 2: 44Option 3: 46Option 4: 45

Question : Find the value of $24+[33+40$ of $\{3 \times(5-44+50)\}]$.Option 1: 1331Option 2: 1250Option 3: 1442Option 4: 1377

Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. First row - 25, 40, 10 Second row - 55, 70, 40 Third row - 33, 48, ?Option 1: 19Option 2: 15Option 3: 18Option 4: 17

Question : Directions: If 2 + 3 + 5 = 30; 3 + 4 + 6 = 72; 5 + 6 + 2 = 60; then 5 + 4 + 0 = ?Option 1: 40Option 2: 30Option 3: 0Option 4: None