Question

Data on 450 candidates, who took an examination in Social Science,

Mathematics and Science is given below Passed in all the subjects is 167

Failed in all the subjects is 60

Failed in Social Sciences is 175

Failed in Mathematics is 199

Failed in Science is 191

Passed in Social Sciences only is 62
Passed in Mathematics only is 48

Passed in Science only is 52

8. How many failed in Social Sciences only?

(1)15

(2) 21

(3) 30

(4) 42

9. How many failed in one subject only?

(1) 152

(2) 142

(3) 61

(4) 56

10. How many passed in Mathematics and atleast one more subject?

(1)210

(2) 203

(3) 170

(4)94

11. How many failed in two subjects only?

(1) 56

(2) 61

(3) 152

(4) 162

12. How many passed atleast in one subject?

(1) 450

(2) 390

(3) 304

(4) 167 ​

Answer 1

Answer:

Total number of students = 450

Concept used:

Venn diagram based on passed students

Calculation:

From the above figure, Number of people who failed in Social Science only = Number of people who passed in Maths and Science only

Number of people who failed in Social Science only = 15

∴ The number of people who failed in Social science only is

When drawing the Venn diagram for passing students:

Directly values which can be written:

Failed in all subjects = 60

Passed in Social (science only), (maths only), (science only) = 62, 48, 52 respectively.