Question

Out of 1,15,000 students 20% failed in exam, 40% of the failures failed in science only and 35% in mathematics only. But 5% of them. failed in other subject then. I) how many failed in both science and math? II) show the information in venn diagram

Answer 1

86,250 students failed in both science and math

• Given,
• Out of 1,15,000 students 20% failed in exam
• 40% of the failures failed in science only
• 35% in mathematics only
• But 5% of them. failed in other subject

• I) how many failed in both science and math?
• = 40% × 1,15,000  + 35% × 1,15,000
• = 40/100 × 1,15,000  + 35/100 × 1,15,000
• = 4 × 11500 + 35 × 1150
• = 46000 + 40250
• = 86,250
• Therefore, a total of 86,250 students failed in both science and math
• II) show the information in venn diagram
• 1,15,000
• 40% × 1,15,000 = 46,000
• 35% × 1,15,000 = 40,250
• 5% × 1,15,000 = 5,750
• 20% × 1,15,000 = 23,000