Programming Taskbook


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1100 training tasks on programming

©  M. E. Abramyan (Southern Federal University), 1998–2018

 

Tasks | Task groups | Boolean

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Logical expressions

All tasks in this group require determining the proposition as True or False. All numbers with fixed amount of digits (for example, two-digit number, three-digit number and so on) are assumed to be positive integers.

Boolean1. Given integer A, verify the following proposition: "The number A is positive".

Boolean2. Given integer A, verify the following proposition: "The number A is odd".

Boolean3. Given integer A, verify the following proposition: "The number A is even".

Boolean4. Given two integers A and B, verify the following proposition: "The inequalities A > 2 and B ≤ 3 both are fulfilled".

Boolean5. Given two integers A and B, verify the following proposition: "The inequality A ≥ 0 is fulfilled or the inequality B < −2 is fulfilled".

Boolean6. Given three integers A, BC, verify the following proposition: "The double inequality A < B < C is fulfilled".

Boolean7. Given three integers A, BC, verify the following proposition: "The number B is between A and C".

Boolean8. Given two integers A and B, verify the following proposition: "Each of the numbers A and B is odd".

Boolean9. Given two integers A and B, verify the following proposition: "At least one of the numbers A and B is odd".

Boolean10. Given two integers A and B, verify the following proposition: "Exactly one of the numbers A and B is odd".

Boolean11. Given two integers A and B, verify the following proposition: "The numbers A and B have equal parity".

Boolean12. Given three integers A, BC, verify the following proposition: "Each of the numbers A, BC is positive".

Boolean13. Given three integers A, BC, verify the following proposition: "At least one of the numbers A, BC is positive".

Boolean14. Given three integers A, BC, verify the following proposition: "Exactly one of the numbers A, BC is positive".

Boolean15. Given three integers A, BC, verify the following proposition: "Exactly two of the numbers A, BC are positive".

Boolean16. Given a positive integer, verify the following proposition: "The integer is a two-digit even number".

Boolean17. Given a positive integer, verify the following proposition: "The integer is a three-digit odd number".

Boolean18. Verify the following proposition: "Among three given integers there is at least one pair of equal ones".

Boolean19. Verify the following proposition: "Among three given integers there is at least one pair of opposite ones".

Boolean20. Given a three-digit integer, verify the following proposition: "All digits of the number are different".

Boolean21. Given a three-digit integer, verify the following proposition: "All digits of the number are in ascending order".

Boolean22. Given a three-digit integer, verify the following proposition: "All digits of the number are in ascending or descending order".

Boolean23. Given a four-digit integer, verify the following proposition: "The number is read equally both from left to right and from right to left".

Boolean24. Three real numbers A, BC are given (A is not equal to 0). By means of a discriminant D = B2 − 4·A·C, verify the following proposition: "The quadratic equation A·x2 + B·x + C = 0 has real roots".

Boolean25. Given two real numbers x, y, verify the following proposition: "The point with coordinates (xy) is in the second coordinate quarter".

Boolean26. Given two real numbers x, y, verify the following proposition: "The point with coordinates (xy) is in the fourth coordinate quarter".

Boolean27. Given two real numbers x, y, verify the following proposition: "The point with coordinates (xy) is in the second or third coordinate quarter".

Boolean28. Given two real numbers x, y, verify the following proposition: "The point with coordinates (xy) is in the first or third coordinate quarter".

Boolean29. Given real numbers x, y, x1y1, x2y2, verify the following proposition: "The point (xy) is inside of the rectangle whose left top vertex is (x1y1), right bottom vertex is (x2y2), and sides are parallel to coordinate axes".

Boolean30. Given three integers a, bc that are the sides of a triangle, verify the following proposition: "The triangle with sides a, bc is equilateral".

Boolean31. Given three integers a, bc that are the sides of a triangle, verify the following proposition: "The triangle with sides a, bc is isosceles".

Boolean32. Given three integers a, bc that are the sides of a triangle, verify the following proposition: "The triangle with sides a, bc is a right triangle".

Boolean33. Given three integers a, bc, verify the following proposition: "A triangle with the sides a, bc exists".

Boolean34. Given coordinates x, y of a chessboard square (as integers in the range 1 to 8), verify the following proposition: "The chessboard square (xy) is white". Note that the left bottom square (1, 1) is black.

Boolean35. Given coordinates x1, y1, x2y2 of two chessboard squares (as integers in the range 1 to 8), verify the following proposition: "Both of the given chessboard squares have the same color".

Boolean36. Given coordinates x1, y1, x2y2 of two chessboard squares (as integers in the range 1 to 8), verify the following proposition: "A rook can move from one square to another during one turn".

Boolean37. Given coordinates x1, y1, x2y2 of two chessboard squares (as integers in the range 1 to 8), verify the following proposition: "A king can move from one square to another during one turn".

Boolean38. Given coordinates x1, y1, x2y2 of two chessboard squares (as integers in the range 1 to 8), verify the following proposition: "A bishop can move from one square to another during one turn".

Boolean39. Given coordinates x1, y1, x2y2 of two chessboard squares (as integers in the range 1 to 8), verify the following proposition: "A queen can move from one square to another during one turn".

Boolean40. Given coordinates x1, y1, x2y2 of two chessboard squares (as integers in the range 1 to 8), verify the following proposition: "A knight can move from one square to another during one turn".


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Designed by
M. E. Abramyan and V. N. Braguilevsky

Last revised:
06.05.2018