Question

There are $4$ friends akash manoj nitesh and piyush. They are standing in increasing

• A. Statement $1$: Akash is taller than Piyush and Piyush is taller than Manoj. Manoj is not the shortest.
• B. Statement $2$: Nitesh is smaller than Manoj and Piyush.Nitesh is the shortest and Piyush is the tallest.

Answer 1

The correct option is A

Statement $1$: Akash is taller than Piyush and Piyush is taller than Manoj. Manoj is not the shortest.

Step 1: Explanation for correct answer :

Statement $1$: Akash is taller than Piyush and Piyush is taller than Manoj. Manoj is not the shortest.

In this statement, we are told that

1. Akash is taller than Piyush
2. Piyush is taller than Manoj
3. Manoj is not the shortest

So, we can conclude that Aakash is the tallest and Nitesh is the shortest.

Thus, their arrangement in increasing order of their height is: Nitesh $<$ Manoj $<$ Piyush

Thus, Statement $1$ alone is sufficient.

Step 2: Explanation for incorrect answer :

Statement $2$: Nitesh is smaller than Manoj and Piyush.Nitesh is the shortest and Piyush is the tallest.

By analysing the statement, their arrangement in increasing order of their height is: Nitesh $<$ Manoj $<$ Piyush

Thus, statement $2$ is alone not sufficient.

Hence, Statement $1$ alone is sufficient while statement $2$ is alone not sufficient.