Question

In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the examination, how many passed in either subject but not in both?

• A. 325
• B. 1175
• C. 2125
• D. None of these

Answer 1

The correct option is B 1175

$Failedin{1}^{st}subject=(\frac{35}{100}\times 2500)=875$

$Failedin{2}^{nd}subject=(\frac{42}{100}\times 2500)=1050$

$Failedinboth=(\frac{15}{100}\times 2500)=375$

$Failedin{1}^{st}subjectonly=(875-375)=500$

$Failedin{2}^{nd}subjectonly=(1050-375)=675$

$Passedin{2}^{nd}only+Passedin{1}^{st}only$
$=(675+500)=1175$