Bunuel wrote:

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

A. 70

B. 96

C. 108

D. 120

E. 150

Kudos for a correct solution.

Or one can start with 'Both' since data gives multiples of that.

Say, no of people who speak both = x = 10% of Total

No. of people who speak neither = 20% of Total = 2x

No. of people who speak only French = 20 - x

Those who do not speak Russian = Those who speak neither + Those who speak only French = 2x + (20 - x) = 32

x = 12

Since x = 10% of Total = 12,

Total = 120

Answer (D)

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Karishma

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