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In a survey of 100 students, 55 selected in IBPS Clerk, 36 selected in IBPS PO and 48 selected in SBI Clerk. 16 selected in IBPS Clerk and IBPS PO, 18 selected in IBPS PO and SBI Clerk and 15 selected in IBPS Clerk and SBI Clerk. Then, find the number students who are selected in all three exams (i.e IBPS Clerk, IBPS PO and SBI Clerk)?

In a survey of 100 students, 55 selected in IBPS Clerk, 36 selected in IBPS PO and 48 selected in SBI Clerk. 16 selected in IBPS Clerk and IBPS PO, 18 selected in IBPS PO and SBI Clerk and 15 selected in IBPS Clerk and SBI Clerk. Then, find the number students who are selected in all three exams (i.e IBPS Clerk, IBPS PO and SBI Clerk)? Correct Answer 10

Given:

Total Students = 500

Students selected in IBPS Clerk = 55

Students selected in IBPS PO = 36

Students selected in SBI Clerk = 48

Students selected in IBPS Clerk & IBPS PO = 16

Students selected in IBPS PO & SBI Clerk = 18

Students selected in IBPS Clerk & SBI Clerk = 15

Concept:

Venn Diagram

Calculation:

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Students who selected in IBPS Clerk Only = 55 – (15 + 16 – x)

⇒ 24 + x

Students who selected in IBPS PO Only = 36 – (16 + 18 – x)

⇒ 2 + x

Students who selected in SBI Clerk Only = 48 – (15 + 18 –x)

⇒ 15 + x

According to question –

⇒ (24 + x) + (2 + x) + (15 + x) + (16 + 15 + 18) – 2x = 100

⇒ 90 + x = 100

 ⇒ x = 100 – 90

⇒ x = 10

∴ The number students who are selected in all three exams = 10

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