UPSC NDA Math Model Paper 7

Given:
Only Hindi = 54; Only Mathematics = 63; Only English = 41; Both Mathematics & Hindi = 18; English, Hindi & Mathematics = 10.
The Venn diagram below shows the number of students good in Hindi and Mathematics but not in English.
= Both Hindi & Mathematics – (Hindi, English & Mathematics)
= {H ∩ B} – {H ∩ E ∩ M}
= 18 – 10
= 8