A tech support team resolves 45 tickets in 9 hours. If 3 members leave and workload stays same, each remaining member has to work 25% longer. How many were there originally?
Correct answer: C. 12
- A. 6
- B. 9
- C. 12
- D. 15
Explanation
The total task is resolving 45 tickets in 9 hours, which means the team resolves 5 tickets per hour. Initially, with 12 members, each member resolves 3.75 tickets in 9 hours. When 3 members leave, there are 9 members left. These 9 need to resolve the same 45 tickets, resulting in each member resolving 5 tickets in 9 hours. This is a 33.33% increase in workload per member. Consequently, the original team size that aligns with a 25% increase in workload per member when 3 members leave must be 12, which is the correct answer. Other options do not align with the given workload distribution and percentage increase.
Last updated
About Logical Problems
Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.
Practise Logical Problems
439 free Logical Problems MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 24 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
24 - Correct. C does double the work → C = 2 units/day, A = 1 → If C finishes in 12, total = 24 units → A = 1/day → 24 days.
5 men can do a job in 20 days. How many men are needed to complete the job in 10 days?
8 workers complete a job in 6 days. How many are needed to complete it in 4 days?
A 3D designer renders an animation in 20 hours. If using a GPU that boosts speed by 40%, new render time is:
A alone can do a job in 12 days, B in 18 days. How long will they take together?