# Of the diplomats who attended a summit conference: 20 spoke French, 32 did not speak Hindi and 20% ...

Of the diplomats who attended a summit conference: 20 spoke French, 32 did not speak Hindi and 20% of the diplomats spoke neither French nor Hindi. If 10% of the diplomats spoke both French and Hindi, then how many diplomats attended the conference?

## Quiz

120

### Steps/Work

2X2 matrix will be the easiest way to calculate this.
Text in black: given statements
Text in red: calculated values
Thus D=120 is the correct answer

## Other Calculator / Auto Solver

Of the diplomats who attended a summit conference : spoke french, did not speak hindi and % of the diplomats spoke neither french nor hindi. If % of the diplomats spoke both french and hindi, then how many diplomats attended the conference?

120

### Step by Step Solution

In order to solve problem, you must evaluate (n1 - n0) / (n3 / 100).

 n0 = 20 32 20 10
• (n1 - n0) / (n3 / 100)
• Evaluate n1 - n0 = 12

12 / (n3 / 100)
• Evaluate n3 / 100 = 0.1

12 / 0.1
• Evaluate 12 / 0.1 = 120

120
• The answer to the problem and the result of (n1 - n0) / (n3 / 100) is 120