The function f(t) = 60,000(2)t/410 gives the number of bacteria in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?
Correct answer: A. 410
- A. 410
- B. 310
- C. 210
- D. 420
Explanation
The correct answer is 410. The exponential function f(t) = 60,000(2)t/410 represents the growth of the bacteria population over time. The doubling time is determined by how long it takes for the exponent in the expression 2t/410 to increase by 1. Since the exponent is t/410, it requires an increase of 410 in t for the exponent to become 1, causing the population to double. Option B (310) and Option C (210) underestimate this required increase, while Option D (420) overestimates it.
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?