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There are two benches A and B and one chair. Three persons can sit on each of these benches and one on the chair. Seven persons, Aman, Bhaskar, Chetan, Dablu, Ekta, Fauzia, and Ganesh, are to be seated on these benches and the chair following certain constraints as given. (i) Fauzia does not sit on the same bench as Dablu. (ii) Ekta does not sit on the same bench as Dablu. (iii) Chetan can sit with Aman but not with Ganesh. (iv) Aman can sit with Dablu but not with Bhaskar or Ganesh. (v) Ganesh does not sit on the same bench as Fauzia. If Fauzia sits on Bench A and Chetan sits on Bench B, then who is sitting in the chair?

There are two benches A and B and one chair. Three persons can sit on each of these benches and one on the chair. Seven persons, Aman, Bhaskar, Chetan, Dablu, Ekta, Fauzia, and Ganesh, are to be seated on these benches and the chair following certain constraints as given. (i) Fauzia does not sit on the same bench as Dablu. (ii) Ekta does not sit on the same bench as Dablu. (iii) Chetan can sit with Aman but not with Ganesh. (iv) Aman can sit with Dablu but not with Bhaskar or Ganesh. (v) Ganesh does not sit on the same bench as Fauzia. If Fauzia sits on Bench A and Chetan sits on Bench B, then who is sitting in the chair? Correct Answer Ganesh

The pattern followed here is,

Let,

“×” means does not sit with

“+” means sit with

Given:

There are two benches A and B and one chair.

Three persons can sit on each of these benches and one on the chair.

Seven persons, Aman, Bhaskar, Chetan, Dablu, Ekta, Fauzia, and Ganesh

(i) Fauzia does not sit on the same bench as Dablu.

  • Fauzia × Dablu

(ii) Ekta does not sit on the same bench as Dablu.

  •  Ekta × Dablu

(iii) Chetan can sit with Aman but not with Ganesh.

  • (Chetan + Aman) × Ganesh

(iv) Aman can sit with Dablu but not with Bhaskar or Ganesh.

  • (Aman + Dablu) × Bhaskar or Ganesh

(v) Ganesh does not sit on the same bench as Fauzia.

  • Ganesh × Fauzia

From Point (iii) and (iv) we get,

Chetan Ganesh and Aman sit on same bench

Bench A

Bench B

Chair

Chetan + Ganesh + Aman

Fauzia / Ekta / Bhaskar / Ganesh

Fauzia / Ekta / Bhaskar / Ganesh
 

But from Point (v) Ganesh does not sit on the same bench as Fauzia.

So,

Bench A

Bench B

Chair

Chetan + Ganesh 

+ Aman

Fauzia + Ekta  + Bhaskar

Ganesh
 

Hence, “Ganesh” is sitting in the chair.

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