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Quantitative Reasoning – Practice – Linguist Set theory question!

PSA_LEVEL-UP_QNR6. A gathering of 50 linguists discovered that 4 knew Kannada, Telugu and Tamil, 7 knew only Telugu and Tamil, 5 knew only Kannada and Tamil, 6 knew only Telugu and Kannada. If the number of linguists who knew Tamil is 24 and those who knew Kannada is also 24, how many linguists knew only Telugu?

A) 9

B) 10

C) 11

D) 8

Ans:

We can attempt the set- based question step by step as shown below:

PSA_LEVEL-UP_QNR6

The ‘x’ in Step 3 can be calculated as:

50 – ( 7 + 8 +4 +5 +6 +9) = 11. Option C.

 

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