Question

Ram secures \[100\] marks in maths, then he will get a mobile. The converse is
A. If Ram gets a mobile, then he will not secure \[100\] marks
B. If Ram does not get a mobile, then he will secure \[100\] marks
C. If Ram will get a mobile, then he secures \[100\] marks
D. None of these

Answer 1

Hint : We are given a statement about Ram. We have to find its converse. We will be using our knowledge of converse to find the required answer.

Step-by step answer :
We are given the statement “Ram secures \[100\]marks in maths, then he will get a mobile”
Let us assume
P to be ‘Ram secures \[100\]marks in maths’ and
Q to be ‘he will get a mobile’.

The given statement in the form of mathematics can be denoted as \[P \to Q\].
We have to find it's converse i.e.; we have to find \[Q \to P\].
As per the given options,
A. If Ram gets a mobile, then he will not secure \[100\] marks
This statement can be denoted as \[Q \to \] not \[P\]

B. If Ram does not get a mobile, then he will secure \[100\] marks
This statement can be denoted as not \[Q \to \] \[P\]

C. If Ram will get a mobile, then he secures \[100\] marks.
This statement can be denoted as \[Q \to P\]

Therefore, the correct option is C.

Note: Generally, students make mistakes while determining the relation between two statements. For eg, in this question, for option B students may get confused and write the relation as not \[Q \to \] not \[P\] due to misreading of the statement, which is wrong. They should carefully read the statement and then only determine the relation between the two statements.