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Six students of a school – Radha, Raj, Rahul, Mira, Aarav and Arijit are selected from different classes – 7th, 8th, 9th, 10th, 11th and 12th standards (not necessarily in the same order) to perform individually in the school annual function. Their order of performances is decided as per their classes. The one who is in 12th class will perform first, then after that 11th class student will perform and so on. Mira will perform immediate after the Rahul but before Arijit. Mira does not study in 8th class. Raj will perform immediate after Aarav but Raj neither studies in 8th class nor in 7th class. Who will perform last in the school annual function?

Six students of a school – Radha, Raj, Rahul, Mira, Aarav and Arijit are selected from different classes – 7th, 8th, 9th, 10th, 11th and 12th standards (not necessarily in the same order) to perform individually in the school annual function. Their order of performances is decided as per their classes. The one who is in 12th class will perform first, then after that 11th class student will perform and so on. Mira will perform immediate after the Rahul but before Arijit. Mira does not study in 8th class. Raj will perform immediate after Aarav but Raj neither studies in 8th class nor in 7th class. Who will perform last in the school annual function? Correct Answer Radha

Six students: Radha, Raj, Rahul, Mira, Aarav and Arijit.

Classes: 7th, 8th, 9th, 10th, 11th and 12th (not necessarily in the same order).

1) The one who is in 12th class will perform first, then after that 11th class student will perform and so on.

2) Mira will perform immediate after the Rahul but before Arijit.

Thus, their sequence for performances is as follows:

Rahul → Mira → Arijit

There are 4 possible cases,

3) Mira does not study in 8th class.

(Thus, 3 cases arise here.)

CASE I

Order

Class

Students

1

12th

Rahul

2

11th

Mira

3

10th

Arijit

4

9th

 

5

8th

 

6

7th

 

 

CASE II

Order

Class

Students

1

12th

 

2

11th

Rahul

3

10th

Mira

4

9th

Arijit

5

8th

 

6

7th

 

 

CASE III

Order

Class

Students

1

12th

 

2

11th

 

3

10th

Rahul

4

9th

Mira

5

8th

Arijit

6

7th

 

 

4) Raj will perform immediate after Aarav but Raj neither studies in 8th class nor in 7th class.

Sequence for performance is Aarav → Raj.

Thus, case I and II get eliminated and we have left with only case III.

CASE III

Order

Class

Students

1

12th

 

2

11th

 

3

10th

Rahul

4

9th

Mira

5

8th

Arijit

6

7th

 

 

Therefore, final table is as follows:

Order

Class

Students

1

12th

Aarav

2

11th

Raj

3

10th

Rahul

4

9th

Mira

5

8th

Arijit

6

7th

Radha

 

Hence, we get that Radha will perform last in the school function.

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