Among five students Atul is lighter than Rashi and Anuj. Karan is Heavier than Sam and Rashi. Sam is not the lightest .Who among them is lightest?
Answer
563.7k+ views
Hint: This is a comparison based question. Here we have to compare between people and find the lightest one among them. To compare let us represent heavier than with symbol ‘>’ and lighter with symbol ‘<’.After taking a note of the given information we represent them with these signs .We get several inequality equations .By clubbing the necessary inequality as per the question we achieve the lightest person among five students.
Complete step-by-step answer:
Let us represent Atul with ‘A’.
Rashi is represented as ‘R’.
Anuj is represented as ‘An’.
Karan is represented as ‘K’.
Sam is represented as ‘S’.
It is given that Atul is lighter than Rashi and Anuj.
\[
\Rightarrow A < R.........(a) \\
\Rightarrow A < An.......(b) \\
\]
Karan is Heavier than Sam and Rashi.
\[
\Rightarrow K > S........(c) \\
\Rightarrow K > R.........(d) \\
\]
Let us combine the inequalities (a) and (d) then we get $K > R > A......(e)$
As it is given in the question that Sam is not the lightest, ‘A’ and ‘An’ have a chance of being lightest as from inequality. But Atul is lighter than Anuj .So Atul is the lightest person.
The order from Heaviest to lightest is as follows
$K > R > S > An > A$
Atul is the lightest among five of them.
Note: This sort of comparison based question are tricky and confusing. To avoid confusion, we have to clearly note the information given in question then we convert them into the appropriate inequalities. Solving these questions needs attention rather than knowledge.
Complete step-by-step answer:
Let us represent Atul with ‘A’.
Rashi is represented as ‘R’.
Anuj is represented as ‘An’.
Karan is represented as ‘K’.
Sam is represented as ‘S’.
It is given that Atul is lighter than Rashi and Anuj.
\[
\Rightarrow A < R.........(a) \\
\Rightarrow A < An.......(b) \\
\]
Karan is Heavier than Sam and Rashi.
\[
\Rightarrow K > S........(c) \\
\Rightarrow K > R.........(d) \\
\]
Let us combine the inequalities (a) and (d) then we get $K > R > A......(e)$
As it is given in the question that Sam is not the lightest, ‘A’ and ‘An’ have a chance of being lightest as from inequality. But Atul is lighter than Anuj .So Atul is the lightest person.
The order from Heaviest to lightest is as follows
$K > R > S > An > A$
Atul is the lightest among five of them.
Note: This sort of comparison based question are tricky and confusing. To avoid confusion, we have to clearly note the information given in question then we convert them into the appropriate inequalities. Solving these questions needs attention rather than knowledge.
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