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In a police selection 18000 applied for the post of constable. 33(1/3)% of the students applied did not attempted the test. 16(2/3)% of the students who attempted the test got failed. 23% of the students who passed the examination did not appear for the second round of selection. If 28(4/7)% of the students who appeared for the second round of selection passed the selection and selected as a constable, then what is the number of students who finally selected as the constable?

In a police selection 18000 applied for the post of constable. 33(1/3)% of the students applied did not attempted the test. 16(2/3)% of the students who attempted the test got failed. 23% of the students who passed the examination did not appear for the second round of selection. If 28(4/7)% of the students who appeared for the second round of selection passed the selection and selected as a constable, then what is the number of students who finally selected as the constable? Correct Answer 2200

Number of students who applied for the post = 18000

According to the question,

33(1/3)% of the students applied did not attempted the test

Number of students who did not attempted the test = 33(1/3)% of 1800 = 6000

Number of students who attempted the test = 18000 – 6000 = 12000

Now,

16(2/3)% of the students who attempted the test got failed.

Number of students who failed = 16 (2/3)% od 12000 = 2000

Number of students who passed the examination = 12000 – 2000 = 10000

23% of the students who passed the examination did not appear for the second round of selection

Number of students who did not appear for the second round = (23/100) × 10000 = 2300

Number of students who appear for the second round = 10000 – 2300 = 7700

28(4/7)% of the students who appeared for the second round of selection passed the selection

Number of students who are selected = 28(4/7)% of 7700 = 2200

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