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Quantitative Aptitude
Arithmetic
Exponential Growth
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A tech startup is gaining users exponentially, doubling its user base weekly. It reached 1 million users in 47 weeks. How many weeks did it take to reach 500,000 users?
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54
40
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46
Solution:
Step 1: Understand that the user base doubles every week. Step 2: If the startup reached 1 million users in 47 weeks, it had half that number the previous week. Step 3: Since the growth is exponential and doubles weekly, in the 46th week, it had 500,000 users. Step 4: Therefore, it took 46 weeks to acquire half-a-million users.
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