Correct Answer - Option 3 : 11,400
Given:
Total candidates appeared in examination = 30,000
English = 53%
Hindi = 61%
Gujarati = 60%
Both Hindi & English = 24%
Both Hindi & Gujarati = 35%
Both Gujarati & English = 27%
Concept:
Diagram
When “all” value not given in above diagram than try to find the value of place where written all, after that we able to solve question on that.
For finding “all” place = total – full circles values individual + both value
Calculation:
Find place value of “all” = (100 – 53 – 61 – 60 + 27 + 24 + 35)
⇒ 12%
Now find the value of “only single” place = complete circle value – overlapping of circle
Diagram
So, only English = (53 – 12 – 12 – 15)
⇒ 14%
Only Hindi = (61 – 12 – 12 – 23)
⇒ 14%
Only Gujarati = (60 – 12 – 15 – 23)
⇒ 10%
Total percentage of only single subject = only English + only Hindi + only Gujarati
⇒ 14 + 14 + 10
⇒ 38%
So, 38% of 30,000
⇒ 11,400 candidates
∴ 11,400 candidates complete examination in only single subject