In an examination, 25% candidates failed in English and 35 % students failed in Math.If 15 % candidates failed in both, what is the percentage of candidates who passed in both the subjects?

55%

Solving these types of questions with the help of Venn diagrams makes it easy.

As, the diagram tells that in totality 45% students either failed in Maths or English or both of them. Thus, percentage of students those passed in both subjects are 100% - 45% = 55%