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Question

What is Vinita's age?

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Solution

The correct option is **B**

Let us assume that Amita is lying and Sunita and Vinita are telling the truth

Then Sunita is not the youngest => from Vinita's 2nd statement, Vinita is not the eldest.

Since Amita is lying, so from her 3rd statement, Amita is not the eldest.

Now, since Sunita is not the youngest and Vinita is elder to Sunita => Sunita is not the eldest.

Also, since, Amita is not the eldest => Vinita has to be the eldest.

But, from her 2nd statement, Vinita is not the eldest; so, our assumption is incorrect

as per our assumption Sunita isn't lying which means our assumption is incorrect.

Let us assume that Sunita is lying and Amita and Vinita are telling the truths.

Then, from Amita's 1st statement, Sunita is the youngest. Since, Sunita is lying so, from Sunita's 2nd statement, Vinita is not elder to her, so this means that Vinita is either of the same age as her or younger than her. From Vinita's 1st statement, Sunita cannot be of the same age as Vinita => Sunita should be elder than Vinita but also Sunita is the youngest => contradiction => our assumption is incorrect => Sunita isn't lying.

Since, neither Amita nor Sunita is lying => Vinita must be lying.

Vinita is lying and Sunita and Amita are telling the truths.

Sunita is the youngest and all are above 24 years of age and Vinita is elder to Sunita. So, the least possible age for Sunita is 25 years and Amita and Vinita are more than 25 years of age=> as per Sunita's 1st statement, Vinita is 26 years old.

Since, Vinita is lying and Sunita is the youngest, so from her 2nd statement, Vinita is not the eldest => Amita is the eldest. Since, Vinita is 26 years of age and Vinita is elder to Sunita and the least possible age for Sunita is 25 years => Sunita is 25 years of age.

Amita is the eldest.

26

Let us assume that Amita is lying and Sunita and Vinita are telling the truth

Then Sunita is not the youngest => from Vinita's 2nd statement, Vinita is not the eldest.

Since Amita is lying, so from her 3rd statement, Amita is not the eldest.

Now, since Sunita is not the youngest and Vinita is elder to Sunita => Sunita is not the eldest.

Also, since, Amita is not the eldest => Vinita has to be the eldest.

But, from her 2nd statement, Vinita is not the eldest; so, our assumption is incorrect

as per our assumption Sunita isn't lying which means our assumption is incorrect.

Let us assume that Sunita is lying and Amita and Vinita are telling the truths.

Then, from Amita's 1st statement, Sunita is the youngest. Since, Sunita is lying so, from Sunita's 2nd statement, Vinita is not elder to her, so this means that Vinita is either of the same age as her or younger than her. From Vinita's 1st statement, Sunita cannot be of the same age as Vinita => Sunita should be elder than Vinita but also Sunita is the youngest => contradiction => our assumption is incorrect => Sunita isn't lying.

Since, neither Amita nor Sunita is lying => Vinita must be lying.

Vinita is lying and Sunita and Amita are telling the truths.

Sunita is the youngest and all are above 24 years of age and Vinita is elder to Sunita. So, the least possible age for Sunita is 25 years and Amita and Vinita are more than 25 years of age=> as per Sunita's 1st statement, Vinita is 26 years old.

Since, Vinita is lying and Sunita is the youngest, so from her 2nd statement, Vinita is not the eldest => Amita is the eldest. Since, Vinita is 26 years of age and Vinita is elder to Sunita and the least possible age for Sunita is 25 years => Sunita is 25 years of age.

Amita is the eldest.

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