9.
Oracle technical mcq question, verified with a worked answer. Free to practise - no sign-up.
Logic - Department Members**
In a company, 26 employees are in the HR department, 32 are in the technical department, and 30 are in the management department. Of these, 5 employees are in all three departments, 37 are in only one of them. How many employees like only two of the three departments?
Pick ONE option
Show answer & explanation
Answer: B. B) 18
Total sum of sizes = 26 + 32 + 30 = 88. 88 = 1*(only 1) + 2*(only 2) + 3*(all 3) = 37 + 2*(only 2) + 3(5) = 52 + 2*(only 2). Thus only 2 = (88 - 52)/2 = 18.
Step-by-step Derivation:
Step 1: Sum of sizes S = 26 + 32 + 30 = 88.
Step 2: S = N1 + 2N2 + 3N3 where N1 = 37, N3 = 5.
Step 3: 88 = 37 + 2N2 + 15 = 52 + 2N2.
Step 4: 2*N2 = 36 => N2 = 18.