CMI2014-A-10

Question

Avinash is taller than Abhay. Bharat is taller than Vinu and Vinay is taller than Bharat. Which of the following is a minimal set of additional information that can determine the tallest person?

• A. Vinay is taller than Avinash and Abhay is taller than Bharat.
• B. Avinash is taller than Vinay.
• C. Abhay is shorter than Vinay.
• D. None of the above.

Answer 1

It is given that

1. $\text{Avinash} > \text{Abhay}$
2. $\text{Vinay} > \text{Bharat} > \text{Vinu}$

Now come to Options 

1. $\text{Vinay}$ is taller than $\text{Avinash}$ and $\text{Abhay}$ is taller than $\text{Bharat}.$

$\quad \implies$If we add $\text{Vinay}$ is taller than $\text{Avinash}$, then it will complete our purpose of getting tallest person - i.e., $\text{Vinay}$ is tallest.

2. $\text{Avinash}$ is taller than $\text{Vinay}$.

$\quad \implies$ It also complete our purpose. Because we can see then $\text{Avinash}$ is tallest now.

3. $\text{Abhay}$ is shorter than $\text{Vinay}$.

$\quad \implies$ This will not help you to get the tallest person, Because you can not understand that which one is tallest either $\text{Vinay}$ or $\text{Avinash}$.

4. None of these.

$\quad \implies$ This can not be the answer, because options $(1)$ and $(2)$ already help us to get the result.

Final Answer: Since in the question minimal set of information is mentioned, option B will be the answer. 

Answer 2

We have,

Condition 1

Avinash

Abhay

i.e Avinash >Abhay

Condition 2

Vinay

Bharat

Vinu

i.e. Vinay>Bharat>Vinu

So we can,t decide which one is taller.We have Consider further cases:

1.Vinay is tallest

2.Avinash is tallest

3.Not deciding the tallest.

So here are two cases which one is tallest .But question here is minimal set of additional information.

So Option B is minimal.

Answer 3