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Last year, there were three sections in a competitive exam. Out of them 33 students cleared the cut-off in Section A, 34 students cleared the cut-off in Section B and 32 students cleared the cut-off in Section C. 10 students cleared the cut-off in section A and section B, 9 cleared the cut-off in section B and section C and 8 cleared the cut-off in section A and section C. The number of students who cleared only one section was equal and was 21 for each section. How many students cleared all the three sections?

Last year, there were three sections in a competitive exam. Out of them 33 students cleared the cut-off in Section A, 34 students cleared the cut-off in Section B and 32 students cleared the cut-off in Section C. 10 students cleared the cut-off in section A and section B, 9 cleared the cut-off in section B and section C and 8 cleared the cut-off in section A and section C. The number of students who cleared only one section was equal and was 21 for each section. How many students cleared all the three sections? Correct Answer 6

Last year, there were three sections in a competitive exam.

Out of them 33 students cleared the cut-off in Section A, 34 students cleared the cut-off in Section B and 32 students cleared the cut-off in Section C.

10 students cleared the cut-off in section A and section B, 9 cleared the cut-off in section B and section C and 8 cleared the cut-off in section A and section C.

The number of students who cleared only one section was equal and was 21 for each section.

Number of students who cleared all the three sections = Students who cleared the cut-off in section A and section B + Students who cleared the cut-off in section B and section C + Students who cleared the cut-off in section A and section C - The number of students who cleared only one section 

= (10 + 8 + 9) - 21

= 27 - 21

= 6

Hence, ‘6’ is the correct answer.

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