Operators and Expressions

Problem 1. Odd or Even

• Write an expression that checks if given integer is odd or even.

Examples:

n	Odd?
3	true
2	false
-2	false
-1	true
0	false

Problem 2. Divisible by 7 and 5

• Write a boolean expression that checks for given integer if it can be divided (without remainder) by 7 and 5 in the same time.

Examples:

n	Divided by 7 and 5?
3	false
0	true
5	false
7	false
35	true
140	true

Problem 3. Rectangle area

• Write an expression that calculates rectangle’s area by given width and height.

Examples:

width	height	area
3	4	12
2.5	3	7.5
5	5	25

Problem 4. Third digit

• Write an expression that checks for given integer if its third digit (right-to-left) is 7.

Examples:

n	Third digit 7?
5	false
701	true
1732	true
9703	true
877	false
777877	false
9999799	true

Problem 5. Third bit

• Write a boolean expression for finding if the bit #3 (counting from 0) of a given integer.
• The bits are counted from right to left, starting from bit #0.
• The result of the expression should be either 1 or 0.

Examples:

n	binary representation	bit #3
5	00000000 00000101	0
8	00000000 00001000	1
0	00000000 00000000	0
15	00000000 00001111	1
5343	00010100 11011111	1
62241	11110011 00100001	0

Problem 6. Point in Circle

• Write an expression that checks if given point P(x, y) is within a circle K({0,0}, 5). //{0,0} is the centre and 5 is the radius

Examples:

x	y	inside
0	1	true
-5	0	true
-4	5	false
1.5	-3	true
-4	-3.5	false
100	-30	false
0	0	true
0.2	-0.8	true
0.9	-4.93	false
2	2.655	true

Problem 7. Is prime

• Write an expression that checks if given positive integer number n (n ≤ 100) is prime.

Examples:

n	Prime?
1	false
2	true
3	true
4	false
9	false
37	true
97	true
51	false
-3	false
0	false

Problem 8. Trapezoid area

• Write an expression that calculates trapezoid's area by given sides a and b and height h.

Examples:

a	b	h	area
5	7	12	72
2	1	33	49.5
8.5	4.3	2.7	17.28
100	200	300	45000
0.222	0.333	0.555	0.1540125

Problem 9. Point in Circle and outside Rectangle

• Write an expression that checks for given point P(x, y) if it is within the circle K( (1,1), 3) and out of the rectangle R(top=1, left=-1, width=6, height=2).

Examples:

x	y	inside K & outside of R
1	4	yes
3	2	yes
0	1	no
4	1	no
2	0	no
4	0	no
2.5	1.5	yes
3.5	1.5	yes
-100	-100	no