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Sets — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSSets1 Mark
MCQ
In an examination 70% students passed both in Mathematics and Physics 85% passed in Mathematics and 80% passed in Physics If 30 students have failed in both the subjects then the total number of students who appeared in the examination is equal to: 
  • A
    900
  • B
    600
  • C
    150
  • D
    100
✓

Answer

  1. 600

Solution:

Student passed in atleast one subject

= n (P ∪ M) = n(P) + n(M) -n (P ∪ M)

= 80 + 85 - 70 = 95

$\therefore$ 5% student failed in both the subjects

⇒ 5% of total students = 30

⇒ Total students $=\frac{30\times100}{5}=600$

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