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?

Question

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?

Mira
Arijit
Radha
Rahul

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 3 : Radha

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

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

1) The one who is in 12^th class will perform first, then after that 11^th 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 8^th class.

(Thus, 3 cases arise here.)

CASE I

Order	Class	Students
1	12^th	Rahul
2	11^th	Mira
3	10^th	Arijit
4	9^th
5	8^th
6	7^th

CASE II

Order	Class	Students
1	12^th
2	11^th	Rahul
3	10^th	Mira
4	9^th	Arijit
5	8^th
6	7^th

CASE III

Order	Class	Students
1	12^th
2	11^th
3	10^th	Rahul
4	9^th	Mira
5	8^th	Arijit
6	7^th

4) Raj will perform immediate after Aarav but Raj neither studies in 8^th class nor in 7^th 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	12^th
2	11^th
3	10^th	Rahul
4	9^th	Mira
5	8^th	Arijit
6	7^th

Therefore, final table is as follows:

Order	Class	Students
1	12^th	Aarav
2	11^th	Raj
3	10^th	Rahul
4	9^th	Mira
5	8^th	Arijit
6	7^th	Radha

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