Question

Karan speaks the truth in 75% of cases and Sarosh in 80% of cases. In what percentage of cases are they likely to contradict each other in narrating the same event?

• A. 65
• B. 35
• C. 25
• D. 5
• E. None of these

Answer 1

The correct option is B

35

Different possible cases of contradiction are - Karan speaks the truth and Sarosh does not speak the truth or
Karan does not speak the truth and Sarosh speaks the truth.

$\therefore$ Required Percentage = $(\frac{3}{4}\times \frac{1}{5})+(\frac{1}{4}\times \frac{4}{5})=\frac{7}{20}=35\%$