In the below question given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.
- If only conclusion I follows
- If only conclusion II follows
- If either I or II follows
- If neither I nor II follows and
- If both I and II follow.
Refer to the symbols below and their corresponding meanings. The given signs denote the following operations/relationships:
X ? Y means X is less than or equal to Y.
X/Y means X is equal to Y.
X = Y means X is greater than Y.
X + Y means X is half of Y.
Which of the two conclusions I and II is/are definitely true based on the information provided ?
Statements:
R ? A, B = A and B/C
Conclusions:
I. R ? C
II. A + C
A. Only conclusion I is true
B. Only conclusion II is true
C. Both the conclusions are true
D. Neither conclusion I nor II is true
Answer : D. Neither conclusion I nor II is true
Explanation
Let’s decode the statements first:
R ? A : R ≤ A
B = A : B > A
B / C : B = C
This can be deduced as:
R ≤ A < B = C
Let’s decode the conclusions now:
1. R ? C : R ≤ C
2. A + C : A = C / 2
None of the statements can be concluded to be definitely true.