Question

Out of 11,500 students, 20% failed in SLC. 40% of the failures failed in Science only, and 35% in Mathematics only, but 5% of them failed in other subjects. How many failed in both Science and Mathematics?

a. 600 students
b. 1,380 students
c. 1,150 students
d. 3,800 students

Answer 1

Out of 11,500 students, 20% failed in SLC. 40% of the failures failed in Science only, and 35% in Mathematics only, but 5% of them failed in other subjects. 1,150 students failed in both Science and Mathematics. Option C is answer.

Step-by-step explanation:

Number of students failed in SLC = 20/100 × 11500 = 2300

Out of the failures, 40% failed in Science only = 40/100 × 2300 = 920 students

Out of the failures, 35% failed in Mathematics only = 35/100 × 2300 = 805 students

Out of the failures, 5% failed in other subjects = 5/100 × 2300 = 115 students

Therefore, number of students failed in both Science and Mathematics = 2300 - 920 - 805 + 115 = 1150

Correct The answer is c. 1,150 students.