In the following questions, the symbols +, -, ×, ÷ and = are used as follows.
a = b means a is not equal to b.
a - b means a is neither greater than nor equal to b.
a + b means a is either equal to or greater than b.
a ÷ b means a is neither equal to nor smaller than b.
a × b means a is neither smaller nor greater than b.
Statement: A + B, A × C, A = D
Conclusions:
I. B - C
II. B × C
Show answer & explanation
Correct answer: D
Explanation
Given:
- A + B → A is equal to or greater than B → A ≥ B
- A × C → A is equal to C → A = C
- A = D → A is not equal to D
From A ≥ B and A = C:
Since A = C, we get C ≥ B, or B ≤ C.
Now check the conclusions:
I. B - C → B is neither greater than nor equal to C → B < C
This is not definitely true because B can be equal to C.
II. B × C → B is equal to C
This is also not definitely true.