Question 7
- The hypotenuse of a right-angled triangle is 39 cm long and the perimeter is 90 cm. Find the lengths of the other two sides.
- Consider the following statements:
P: There is no Mathematics student who is not clever.
Q: Every Physics student studies Mathematics.
- Draw a Venn diagram to represent the statements.
- Deduce whether the following statements are valid or not valid.
(I) Every clever student is a Physics student.
(II) All Physics students are clever.
(III) Every Mathematics student studies Physics.
Observation
The Chief Examiner reported that this question was not well attempted by most candidates as they were unable to form correct equation part (a) and interprete correctly the part (b).
In part(b)(i), they were expected to deduce that:
I . Not valid
II. Valid
III. Not valid