One of Jimmy’s friends told him that he would save more if, instead of multiplying the amount by 3 each week, he added enough at
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Which of the following conjectures is false?
Solution: The false conjecture is:
J. The sum of two odd numbers is odd
Explanation:
F. The product of two even numbers is even.
For example: Let us take two even numbers 4 and 6.
The product of two even numbers is:
Therefore, the product is also even number. Hence the conjecture is true.
G. The sum of two even numbers is even.
For example: Let us take two even numbers 4 and 6.
The sum of two even numbers is:
Therefore, the sum is also even number. Hence the conjecture is true.
H. The product of two odd numbers is odd.
For example: Let us take two odd numbers 3 and 5.
The product of two odd numbers is:
Therefore, the product is also odd number. Hence the conjecture is true.
J. The sum of two odd numbers is odd.
For example: Let us take two odd numbers 3 and 5.
The sum of two odd numbers is:
Therefore, the sum is not an odd number. Hence the conjecture is false.
Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder
Area of the base of the cylinder =
Area of the cylinder 'wall' = width × length =
×
=×
=
Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.
Surface area of cone is given by
where 
is the slanted height of the cone
SA of cone =
Hence total painted surface area is
Area of the base of the cylinder =
Area of the cylinder 'wall' = width × length =
Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.
Surface area of cone is given by
SA of cone =
Hence total painted surface area is