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Question

Directions:- Study the following information carefully to answer the question given below.

Ten persons namely Litesh, Pawan, Nitu, Parul, Dinesh, Sheema, Anil, Dharam, Dolly and Sheela go for a magic show and they all sit on a single row of seats numbered 1 to 10. There are three couples in the group. Each couple has only one child the child next to its mother. A family (father, mother and the child) always sit together. Sheela, Dolly, Parul and Sheema are females whereas Litesh, Pawan, Nitu, Dinesh and Dharam are males.
(i) Dinesh sits on seat- number 6 which is immediately next to Nitu's mother's seat.
(ii) Sheela sits on a seat whose number is both a perfect cube.
(iii) Dharam is Dolly's father and they both sit on prime numbered seats.
(iv) Litesh, the bachelor sits next to Pawan.
(v) The childern are Nitu, Dolly and Dinesh.

Who is Dinesh's mother, if the person sitting two places away from the person sitting immediately next to Nitu is Parul ?

A
Sheema
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B
Sheela
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C
Parul
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D
Can't be determined.
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E
Inadequate data
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Solution

The correct option is D Can't be determined.
According to given information :
(i) ChildMaleFemaleNituLiteshSheelsDollyPawanDollyDineshNituParulDineshSheemaDhraram
(ii) SheelaDollyDharamNitus motherDineshPawanLitesh12345678910
  • Sheela sits on seat number 1 as it is both a perfect square (1)2=1 and perfect cube (1)3=1.
  • From information (iii) of the question, Dolly should sit between Sheela and Dharam.
(iii) Sheela Dolly Dharam - Parul/Sheema Dinesh
1 2 3 4 5 6
M C F F M C
- - Pawan Litesh
7 8 9 10
  • M Mother ; F - Father ; C - Child ; B - Bachelor
(iv) From the arrangement (iii), only the child Nitu is left. She may sit on seat no. either 7 or 8 but not on 4, because according to rule, 4 is reserved for father. The only male left is Anil and he will sit on seat no.4. Now Nitu will sit on seat no.8 as a child sits next to his/her mother. Now the sitting arranged will be as follows:-
(v) Sheela Dolly Dharam Anil Parul/Sheema Dinesh
1 2 3 4 5 6
M C F F M C
Parul/Sheema Nitu Pawan Litesh
7 8 9 10
M C F B
On the basis sitting arrangement, we can answer the quetions as follows:-

Dinesh's mother can either be Parul or Sheema.
Hence, required answer is (D)

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