"ac76a197-a836-4b73-9d5f-d2ae8733f411","revisionId":"38849b76-1949-4d10-b94d-269822bc9afb","questionNumber":null,"questionType":"LA","specification":"","difficulty":6,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"6bc43574-9487-43d1-9aeb-46e4821dc430","label":null,"content":"Employees at a logistics company are classified as either office-based staff (S) or field drivers (D).\n\nOffice-based staff (S) coordinate shipments inside the main depot.\n\nField drivers (D) deliver cargo across the country.\n\nEmployees must have exactly one of these roles; they cannot hold both roles simultaneously, but must hold one to be an active employee.\n\nConstruct a logic statement, using only the operators **AND**, **OR**, and **NOT** along with the letters **S** and **D**, to represent the conditions for being an active employee.","markscheme":"- Identifies one component of the XOR condition, e.g. $S$ AND NOT $D$ (or $S$ OR $D$ for the alternative method) B1\n- Identifies the second component, e.g. NOT $S$ AND $D$ (or NOT ($S$ AND $D$) for the alternative method) B1\n- Combines the conditions with the correct logical operator to obtain a fully correct expression: ($S$ AND NOT $D$) OR (NOT $S$ AND $D$) or ($S$ OR $D$) AND NOT ($S$ AND $D$) B1","marks":3,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"ad8621c2-c73a-4521-be5f-1a49c22c2bc1","revisionId":"e85d78e4-a557-4525-97f5-e309f8e25a48","questionNumber":null,"questionType":"LA","specification":"","difficulty":4,"difficultyBand":"medium","totalMarks":4,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"7109dac5-5105-486e-b3fb-8db2f8ddb44c","label":null,"content":"An automated warehouse cooling system turns on a ventilation fan. The fan must only be triggered if:\n- the main power (P) is switched on\n- the automated mode (A) is enabled\n- the heat sensor (H) or the humidity sensor (M) has triggered a high reading.\n\nConstruct a Boolean expression, using AND, OR and NOT with the letters P, A, H, and M to show the conditions that will trigger the ventilation fan.","markscheme":"- Identifies the logical OR relationship between the two sensors: `H OR M` (or `M OR H`) B1\n- Uses parentheses for correct grouping of the OR statement: `(H OR M)` B1\n- Identifies that power and automated mode must both be true: `P AND A` (or `A AND P`) B1\n- Correctly links all elements together with `AND` operators to form the full correct expression: `P AND A AND (H OR M)` (or equivalent valid variation) B1","marks":4,"order":0,"markingRubric":null,"explanation":null,"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null},{"id":"daf54774-f8fe-4610-9a42-c69de1b3d585","revisionId":"3dd9d2d4-7302-44a6-b66e-dec13b7cdee6","questionNumber":null,"questionType":"LA","specification":"","difficulty":3,"difficultyBand":"medium","totalMarks":3,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"5736ba23-da74-47ad-ae94-1cfc3a0b9ef0","label":null,"content":"An automated garden watering system activates when the soil is dry and it is evening, or if the manual override switch is pressed.\n\nThe system inputs are defined as:\n- **A**: Soil is dry (1 = True, 0 = False)\n- **B**: It is evening (1 = True, 0 = False)\n- **C**: Manual override is pressed (1 = True, 0 = False)\n\nThe logic statement representing the system is:\n$$\\text{Active} = (A \\text{ AND } B) \\text{ OR } C$$\n\nComplete the truth table to show the output for each combination. Two rows have been done for you.\n\n| A | B | C | A AND B | (A AND B) OR C |\n|---|---|---|---------|----------------|\n| 0 | 0 | 0 | 0 | 0 |\n| 0 | 0 | 1 | | |\n| 0 | 1 | 0 | | |\n| 0 | 1 | 1 | | |\n| 1 | 0 | 0 | | |\n| 1 | 0 | 1 | | |\n| 1 | 1 | 0 | | |\n| 1 | 1 |

Logic

Question 5

Logic Questions

Logic

Question 5

Logic Questions